nursingtestbank1.com€¦ · Web viewChapter 1 Basic Algebraic Operations . 1.1 Numbers. 1 Identify Integer/Rational/Irrational/Real/Imaginary Numbers. Identify the specified numbers

Basic Technical Mathematics with Calculus, 10e (Washington)Chapter 1 Basic Algebraic Operations

1.1 Numbers

1 Identify Integer/Rational/Irrational/Real/Imaginary Numbers

Identify the specified numbers.

1) The integers in the following list:

9, , -18, 0, , - , 1.0,

A) 9, -18, 0B) 9, 0, C) 9, 0D) 9, -18, 0, Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Identify Integer/Rational/Irrational/Real/Imaginary Numbers

2) The rational numbers in the following list:

1, , -18, 0, , , 0.35

A)

B) 1, -18, 0,

C) 1, -18, 0, ,

D) 1, -18, 0, , , 0.35

Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Identify Integer/Rational/Irrational/Real/Imaginary Numbers

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3) The irrational numbers in the following list:

3, , -23, 0, , , 0.96

A) B) , , 0.96C) , D) , 0.96Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Identify Integer/Rational/Irrational/Real/Imaginary Numbers

4) The real numbers in the following list:

6, , -23, 0, ,

A) 6, -23, 0,

B) 6, -23, 0, ,

C) 6, , -23, 0, ,

D) 6, -23, 0,

Answer: CType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Identify Integer/Rational/Irrational/Real/Imaginary Numbers

5) The real numbers in the following list:

, -5, , 2.6, 1.6, , ,

A) , -5, 2.6, 1.6B) -5, 2.6, 1.6C) , -5, , 2.6, 1.6, , , D) , -5, 2.6, 1.6, Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Identify Integer/Rational/Irrational/Real/Imaginary Numbers


6) The imaginary numbers in the following list:

, -4, , 2.1, 1.75, , ,

A) , -4, , 2.1, 1.75, , , B) , , , , C) , , D) , , Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Identify Integer/Rational/Irrational/Real/Imaginary Numbers

2 Find Absolute Value

Find the absolute value.

1) A) 12B) 0C) ±12D) -12Answer: AType: BI Var: 24Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

2) A) 6B) -6C) 0D) ±6Answer: AType: BI Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value


3) A) 0B) -11C) ±11D) 11Answer: DType: BI Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

4) A) ±4B) -4C) 4D) 0Answer: CType: BI Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

5) A) 0B) ±21C) 21D) -21Answer: CType: BI Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

6) A) -1B) 0C) Not definedD) 1Answer: BType: BI Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value


7)

A) 0

B) -

C)

D) ±

Answer: CType: BI Var: 28Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

8) A) 2.95B) 0C) ±2.95D) -2.95Answer: AType: BI Var: 10Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

9) A) 9.7B) 0C) ± 9.7D) -9.7Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value


10)

A) -1

B) 0

C) 1

D) ±1

Answer: CType: BI Var: 36Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Absolute Value

3 Insert Inequality Sign Between Numbers

Insert the correct sign of inequality (> or <) between the given numbers.

1) -3 6A) -3 > 6B) -3 < 6Answer: BType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers

2) 6.7 -5.9A) 6.7 > -5.9B) 6.7 < -5.9Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers


3) - 1 2

A) - 1 < 2

B) - 1 > 2

Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers

4) -21 86A) -21 > 86B) -21 < 86Answer: BType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers

5) -89 -68A) -89 > -68B) -89 < -68Answer: BType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers

6) π -5A) π < -5B) π > -5Answer: BType: BI Var: 8Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers

7) 3.17A) < 3.17B) > 3.17Answer: AType: BI Var: 7Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers


8) -6A) -6 < B) -6 > Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers

9) 45 - A) 45 < - B) 45 > - Answer: BType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Insert Inequality Sign Between Numbers


4 Find Reciprocal of Rational Number

Find the reciprocal of the number.

1) -7A) 7

B) -

C)

D) 1 Answer: BType: BI Var: 40Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Reciprocal of Rational Number

2) -3

A)

B) 0

C) -

D) 3Answer: CType: BI Var: 8Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Reciprocal of Rational Number

3)

A) -

B) -

C)

D) 1Answer: CType: BI Var: 38Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Reciprocal of Rational Number


4) -

A) -

B) 1

C)

D)

Answer: AType: BI Var: 38Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Reciprocal of Rational Number

5)

A) 8πB) π

C)

D) -

Answer: CType: BI Var: 8Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Reciprocal of Rational Number

6)

A) -

B) fz

C) -

D)

Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Find Reciprocal of Rational Number


5 Locate Number on Number Line

Locate each number on a number line.

1) -5, -3, -1, 1

A)

B)

C)

D)

Answer: AType: BI Var: 7Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Locate Number on Number Line

2) -5, -3, -1, 1

A)

B)

C)

D)

Answer: BType: BI Var: 7Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Locate Number on Number Line


3) -1.75, 0.75, 2.25, -3.25

A)

B)

C)

D)

Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Locate Number on Number Line

4) , , , -1.15

A)

B)

C)

D)

Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Locate Number on Number Line


5) -10, , -1, -9

A)

B)

C)

D)

Answer: BType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Locate Number on Number Line

6) - , 4, , 6

A)

B)

C)

D)

Answer: AType: BI Var: 50+Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Locate Number on Number Line


6 List Numbers in Numerical Order

Write the numbers in numerical order, smallest to largest.

1) 7, -13, 25, -19, 5A) 5, 7, 13, 19, 25B) 25, 7, 5, -13, -19C) -13, -19, 5, 7, 25D) -19, -13, 5, 7, 25Answer: DType: BI Var: 50+Topic: 1.1 NumbersSkill: AppliedObjective: (1.1) List Numbers in Numerical Order

2) |-6|, -|14|, -|5|A) -|5|, |-6|, -|14|B) |-6|, -|5|, -|14|C) -|14|, -|5|, |-6|D) -|-5|, -|14|, |-6|Answer: CType: BI Var: 50+Topic: 1.1 NumbersSkill: AppliedObjective: (1.1) List Numbers in Numerical Order

3) , -5, 7, - ,

A) - , -5, , , 7

B) -5, - , , , 7

C) 7, , , - , 5

D) , , -5, - , 7

Answer: BType: BI Var: 50+Topic: 1.1 NumbersSkill: AppliedObjective: (1.1) List Numbers in Numerical Order


4) , - , - , , -3

A) - , - , -3, ,

B) -3, - , - , ,

C) , -3, , - , -

D) - , - , -3, ,

Answer: BType: BI Var: 36Topic: 1.1 NumbersSkill: AppliedObjective: (1.1) List Numbers in Numerical Order

7 Know Concepts: Numbers

Answer the question.

1) Every whole number is a real number.Answer: TRUEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

2) Some rational numbers are irrational.Answer: FALSEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

3) Some rational numbers are integers.Answer: TRUEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

4) Every integer is an irrational number.Answer: FALSEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers


5) Some real numbers are integers.Answer: TRUEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

6) The absolute value of any number is positive.Answer: FALSEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

7) The absolute value of any nonzero number is an irrational number.Answer: FALSEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

8) - is an imaginary number.Answer: TRUEType: TF Var: 9Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers

9) If number a is to the left of number b on a number line, then a > b.Answer: FALSEType: TF Var: 1Topic: 1.1 NumbersSkill: AppliedObjective: (1.1) Know Concepts: Numbers

10) A fraction cannot contain an imaginary number in the denominator.Answer: FALSEType: TF Var: 1Topic: 1.1 NumbersSkill: RecallObjective: (1.1) Know Concepts: Numbers


1.2 Fundamental Operations of Algebra

1 Evaluate Addition, Subtraction Expression

Perform the indicated operation.

1) 8 + (-5)A) -13B) 3C) -3D) 13Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression

2) -4 + 8A) -4B) 12C) -12D) 4Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression

3) -6 + (-13)A) -7B) 19C) 7D) -19Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression


4) 8 - 14A) 6B) -22C) -6D) 22Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression

5) -2 - 8A) -6B) 6C) -10D) 10Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression

6) -15 - (-10)A) -5B) 5C) 25D) -25Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression

7) 12 - (-10)A) -22B) 22C) 2D) -2Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Addition, Subtraction Expression


2 Evaluate Multiplication Expression

Find the product.

1) (7)(18)A) 119B) 126C) 26D) 1260Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

2) (22)(-39)A) 858B) -958C) -880D) -858Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

3) (-33)(27)A) -891B) -8910C) -991D) -918Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

4) (-13)(-14)A) 1820B) 82C) 182D) 195Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression


5) (-6)(-3)(-3)A) -54B) -44C) 36D) 54Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

6) (-9)(-3)(3)A) 81B) -81C) 71D) 181Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

7) (-5)(-9)(-3)A) -145B) -135C) -35D) 135Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

8) (-12)(-12)A) -144B) 144C) 154D) -154Answer: BType: BI Var: 13Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression


9) (-5)(-5)(-5)A) -135B) 125C) -115D) -125Answer: DType: BI Var: 8Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression

10) (-23)(0)A) 23B) -23C) 0D) 1Answer: CType: BI Var: 40Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication Expression


3 Evaluate Multiplication/Division Expression


1)

A) 12

B) -

C) -22D) -12 Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression

2)

A) 17 B) -17

C) -

D) -27Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression

3)

A) 7

B)

C) -17 D) 17 Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression


4)

A) -5 B) -15C) 5

D) -

Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression

5)

A) -14B) 4

C) -

D) -4 Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression

6)

A) -8B) 2 C) -2

D)

Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression


7)

A) 1B) UndefinedC) 0D) 86Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression

8)

A) 1B) 69C) 0D) UndefinedAnswer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Evaluate Multiplication/Division Expression

9)

A) -7B) 7C) 63D) -63Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Multiplication/Division Expression


10)

A)

B) -

C) -

D)

Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Multiplication/Division Expression

4 Evaluate Expression with Addition/Subtraction/Multiplication/Division

Find the value of the expression.

1) 25 + 3 × 11 - (-3)A) 311B) 305C) 61D) 42Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division

2) 2 + (-15)(-20) + (-14)A) 326B) 23C) 102D) 288Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division


3) 26(-21) + 8(-16)A) 12,064B) -674C) 71D) 674Answer: BType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division

4) (-25 - 22)(-10 - 25)A) 1645B) 45C) -1645D) -45Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division

5) (-8 - 5)[3 + (6 + 4)]A) -49B) 26C) 22D) -169Answer: DType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division

6)

A) 5

B) 10C) 9D) 2Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division


7)

A) 2

B) 1

C) 1

D) 1

Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division

8) 6[-7 + 4(-4 + 2)]A) -90B) 36C) 32D) -50Answer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division

9) - - A) 30B) -20C) -30D) 20Answer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Evaluate Expression with Addition/Subtraction/Multiplication/Division


5 Determine Fundamental Algebraic Law

Determine which of the fundamental laws of algebra is demonstrated.

1) (2 + 3) + 7 = (3 + 2) + 7A) IdentityB) DistributiveC) CommutativeD) AssociativeAnswer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law

2) 6(x + 3) = 6x + 6 × 3A) AssociativeB) CommutativeC) DistributiveD) IdentityAnswer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law

3) 2 + 3 = 3 + 2A) CommutativeB) DistributiveC) AssociativeD) IdentityAnswer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law

4) 2 + 3 = 3 + 2A) CommutativeB) DistributiveC) AssociativeD) IdentityAnswer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law


5) (6 × 8) × 4 = 6 × (8 × 4)A) CommutativeB) DistributiveC) AssociativeD) IdentityAnswer: CType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law

6) 9 × 7 = 7 × 9A) CommutativeB) DistributiveC) AssociativeD) IdentityAnswer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law

7) (10 - 3) + 4 = 10 + (-3 + 4)A) AssociativeB) DistributiveC) IdentityD) CommutativeAnswer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: RecallObjective: (1.2) Determine Fundamental Algebraic Law


6 Determine Equality of Expressions

Determine whether the first literal expression is equal to the second literal expression.

1) a + b, b - (-a)A) YesB) NoAnswer: AType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Determine Equality of Expressions

2) a - b, b - aA) YesB) NoAnswer: BType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Determine Equality of Expressions

3) -a - b, -b + (-a)A) YesB) NoAnswer: AType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Determine Equality of Expressions

4) b - a, a - (-b)A) YesB) NoAnswer: BType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Determine Equality of Expressions


7 Know Concepts: Fundamental Operations of Algebra

Provide an appropriate response.

1) If an odd number of negative numbers are multiplied, what will be the sign of the product?A) NegativeB) PositiveC) Cannot be determinedD) It depends upon the numbersAnswer: AType: BI Var: 2Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Know Concepts: Fundamental Operations of Algebra

2) What conditions must be placed on the values of x and y so the expression will be equal to the expression + ?A) x and y must have opposite signs or at least one be zero.B) x and y must have the same signs or at least one be zero.C) y must always be positive.D) y must always be negative.Answer: AType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Know Concepts: Fundamental Operations of Algebra

3) The gross profit percentage of a company is defined as . Is it

correct to say that a company has 0% gross profit before it makes its first sale?A) YesB) NoAnswer: BType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Know Concepts: Fundamental Operations of Algebra


4) Two identical orders for goods are to be shipped. The first stock picker puts part 1 of the order on pallet A. He puts parts 2 and 3 of the order on pallet B and loads his truck. The second stock picker puts parts 1 and 2 on pallet A, and part 3 on pallet B before loading his truck. Which fundamental law of algebra shows that the trucks have identical orders?A) Commutative law of additionB) Distributive lawC) Commutative law of multiplicationD) Associative law of additionAnswer: DType: BI Var: 1Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Know Concepts: Fundamental Operations of Algebra

5) 7 car dealers each sell 13 trucks and 29 cars. An expression to determine the total number of vehicles sold is Which fundamental law of algebra does this expression illustrate?A) Distributive lawB) Commutative law of multiplicationC) Commutative law of additionD) Associative law of multiplicationAnswer: AType: BI Var: 50+Topic: 1.2 Fundamental Operations of AlgebraSkill: AppliedObjective: (1.2) Know Concepts: Fundamental Operations of Algebra


1.3 Calculators and Approximate Numbers

1 Determine Whether Given Number is Exact or Approximate

Determine whether the given number is approximate or exact.

1) The history class has 117 students.A) ExactB) ApproximateAnswer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Whether Given Number is Exact or Approximate

2) Jennifer has 32 teeth.A) ExactB) ApproximateAnswer: AType: BI Var: 1Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Whether Given Number is Exact or Approximate

3) The ammeter showed a reading of 0.79A.A) ExactB) ApproximateAnswer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Whether Given Number is Exact or Approximate

4) One mole of an element contains 6.022 × atoms.A) ExactB) ApproximateAnswer: BType: BI Var: 1Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Whether Given Number is Exact or Approximate


5) The radius of the planet is 9788 km.A) ExactB) ApproximateAnswer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Whether Given Number is Exact or Approximate

2 Determine Number of Significant Digits in Given Approximate Number

Determine the number of significant digits in the given approximate number.

1) 94,700,000A) 4B) 7C) 8D) 3Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

2) 0.0000465A) 4B) 10C) 6D) 3Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

3) 6090A) 1B) 2C) 4D) 3Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number


4) 0.0703A) 4B) 1C) 2D) 3Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

5) 40,020A) 3B) 2C) 5D) 4Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

6) 0.07006A) 2B) 4C) 5D) 6Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

7) 6000.9A) 5B) 2C) 4D) 3Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number


8) 0.030090A) 5B) 3C) 6D) 2Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

9) 500A) 4B) 5C) 2D) 1Answer: DType: BI Var: 9Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number

10) 304.090A) 2B) 4C) 6D) 3Answer: CType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Number of Significant Digits in Given Approximate Number


3 Determine Accuracy and Precision

First determine which number (x or y) is more accurate, then which is more precise.

1) x = 15.8, y = 0.16A) y, yB) y, xC) x, xD) x, yAnswer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Accuracy and Precision

2) x = 0.055, y = 2365A) y, yB) x, xC) x, yD) y, xAnswer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Accuracy and Precision

3) x = 0.8, y = 43A) y, yB) y, xC) x, xD) x, yAnswer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Accuracy and Precision

4) x = 8620, y = 0.008A) y, xB) y, yC) x, yD) x, xAnswer: CType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Accuracy and Precision


5) x = 6,000, y = 0.0040A) x, xB) y, yC) x, yD) y, xAnswer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Determine Accuracy and Precision

4 Round Approximate Number to Stated Significant Digits

Round off the approximate number as indicated.

1) 1114 3 significant digitsA) 1114B) 1110C) 1120D) 1100Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Round Approximate Number to Stated Significant Digits

2) 2784 2 significant digitsA) 2700B) 2800C) 2780D) 2900Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits


3) 79.95 3 significant digitsA) 80B) 80.1C) 79.9D) 80.0Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits

4) 24.69 2 significant digitsA) 24.9B) 25C) 25.1D) 24.7Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits

5) 0.9999 3 significant digitsA) 1.00B) 0.999C) 1.0D) 1Answer: AType: BI Var: 3Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits

6) 0.09999 2 significant digitsA) 0.100B) 0.1C) 0.10D) 0.099Answer: CType: BI Var: 3Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits


7) 0.9499 3 significant digitsA) 0.950B) 0.949C) 0.9D) 0.95Answer: AType: BI Var: 3Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits

8) 0.09499 2 significant digitsA) 0.09B) 0.0950C) 0.094D) 0.095Answer: DType: BI Var: 3Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits

9) 5703 2 significant digitsA) 5703B) 5700C) 4400D) 5800Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits

10) 9250 2 significant digitsA) 9300B) 91C) 9200D) 9000Answer: CType: BI Var: 1Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Round Approximate Number to Stated Significant Digits


5 Use Calculator to Express with Proper Acc/Prec (Approx Number)

Perform the indicated operations on a calculator. Express the result with the proper accuracy and precision. Assume that all numbers are approximate.

1) 1.7 + 0.949 + 69.41A) 72B) 72.06C) 72.1D) 72.059Answer: CType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

2) 8.94(43.29)A) 387B) 400C) 387.0126D) 387.0Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

3) 0.33 ÷ 937A) 0.00035B) 2840C) 0.000352D) 0.0003522Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)


4) - 0.0498

A) -0.0480B) 0.0516C) 0.052D) -0.048Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

5)

A) 2.13B) 2.130C) 0.1608D) 0.161Answer: CType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

6)

A) -0.003000B) -0.0030C) -0.003D) -0.00300Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

7)

A) -0.03840B) -0.006740C) -0.0384D) -0.00674Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)


8)

A) 0.02003B) 0.0200C) 0.01145D) 0.020030Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

9) -

A) 8.572B) 8.57C) 18.1D) 18.07Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)

10) +

A) -2.00B) -2.0000C) -2D) -2.000Answer: CType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Approx Number)


6 Use Calculator to Express with Proper Acc/Prec (Exact, Approx Number)

Perform the indicated operation and express with the proper accuracy and precision. The first number given is approximate and the second number is exact. (Use calculator if needed).

1) 0.8162 + 19.5A) 20.3162B) 20.32C) 20.3D) 20Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Exact, Approx Number)

2) 17.119 - 40.5A) -23.4B) -23.381C) -23D) 23.381Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Exact, Approx Number)

3) 8.006(29)A) 232.2B) 232C) 232.174D) 232.17Answer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Exact, Approx Number)


4) 8.35 ÷ 3108A) 0.00268662B) 0.00269C) 0.0D) 0Answer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Exact, Approx Number)

5) 6 ÷ 427A) 0.014B) 14.0515222C) 0.01405152D) 0.01Answer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: RecallObjective: (1.3) Use Calculator to Express with Proper Acc/Prec (Exact, Approx Number)


7 Solve Apps: Approximate Numbers

Solve the problem. All numbers are approximate.

1) The current (in amperes, A) running through a resistor in an electric circuit can be calculated by dividing the voltage measured across the resistor (in volts) by the resistance of the resistor (in ohms). If the voltage measured across a resistor is and the resistance is 170 ohms, how much current runs through the resistor?A) 0.83 AB) 36 AC) 86,000 AD) 1.2 AAnswer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers

2) If you are told that the height of a trapezoid is 305 mm, that the length of one of its parallel sides is 4112 mm, and that the area of the trapezoid is 3,062,000 mm2, then you could estimate

the length of the other parallel side (in mm) by performing the calculation .

Perform this calculation and report the length found.A) 16,000 mmB) 24,200 mmC) 5020 mmD) 20,100 mmAnswer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers

3) The expression will tell you how high, in metres, you must raise the hammer of a pile

driver when you know the mass (m) of the hammer in kg, and what potential energy (PE) in Joules is required. Find the height to which a 55-kg hammer must be raised to have 3310 J of potential energy.A) 0.61 mB) 6.1 mC) 0.614 mD) 6.141 mAnswer: BType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers


4) The capacitance of a certain element in an electric circuit (in μF) was determined by

calculating the value of Calculate this capacitance.

A) 8.2 μFB) 9.0 μFC) 7.5 μFD) 9.8 μFAnswer: AType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers

5) An electronics manufacturer lists the frequency of one of its crystals as 3.65 MHz. What are the lowest and highest possible frequencies at which the crystal may oscillate?A) 3.645 MHz and 3.654 MHzB) 3.6 MHz and 3.7 MHzC) Only at 3.65 MHzD) 3.64 MHz and 3.66 MHzAnswer: AType: BI Var: 21Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers

6) If the fraction is a rational number, which decimal equivalent digits indicate this?

A) 13B) 076923C) The fraction is irrational.D) 76923Answer: BType: BI Var: 1Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers


7) If a computer hard drive stores exactly 512 bytes of data in each disk sector, and there are precisely 16 sectors in a cluster, how many bytes of data are stored in 2048 clusters?A) 16,777,216 bytesB) 1,048,576 bytesC) 16,800,000 bytesD) 16,780,000 bytesAnswer: AType: BI Var: 6Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers

8) The formula for finding the volume of a square pyramid is V = s2h, where the s is the side of

the base and h is the height. Determine the volume of a 49 cm high pyramid with sides of length 33.38 cm.A) 26,715 cubic cmB) 18200 cubic cmC) 18,199 cubic cmD) 18,000 cubic cmAnswer: DType: BI Var: 50+Topic: 1.3 Measurement, Calculation, and Approximate NumbersSkill: AppliedObjective: (1.3) Solve Apps: Approximate Numbers


1.4 Exponents

1 Simplify Exponent Expression (Mult/Div)

Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.

1) (4a)(4a2)A) 8a3B) 16a3C) 4a + 4a2D) 16a4Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

2) (-7y)(-4y5)A) 7y - 4y5B) -28y6C) -11y5D) 28y6Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

3) (7x3)(8x5)A) 15x8B) 15x15C) 56x8D) 56x15Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)


4) (-5x5)(5x3)A) 10x15B) 10x8C) -25x8D) -25x15Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

5) (-7x4)(-5x3)A) -35x12B) -12x7C) 35x7D) -12x12Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

6) (5m3z4)(5m2z2)A) 25m5zB) 25m5z6C) 25mz5D) 25mz6Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

7)

A) -4n B) -4C) -4n3 D) -4n4 Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)


8)

A) 5B) 5x C) 5x5 D) 5x8 Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

9)

A) 4x2y3 B) 4x4y6C) 4x6y7 D) 4xy Answer: AType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)

10)

A) 2x6y6B) 2xy C) 2x2y2 D) 2x6y8 Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Mult/Div)


2 Simplify Exponent Expression (Powers)

Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.

1) (33a)6A) 39aB) 39a6C) 33a6D) 318a6Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)

2) (-3a4)3A) -9a4 B) -27a12 C) 531,441a12D) 531,441a4 Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)

3) (-4x6y)3A) -12x6y3 B) -64x18y3 C) -12x6y D) -64x9y3Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)


4) (-2p2q2r2)5A) -32p7q7r7B) -10p7q7r7 C) (-2)10p10q10r10 D) -32p10q10r10 Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)

5)

A)

B) 125

C)

D)

Answer: AType: BI Var: 9Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)

6)

A)

B)

C)

D)

Answer: DType: BI Var: 14Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)


7)

A)

B)

C)

D)

Answer: AType: BI Var: 9Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)

8)

A)

B)

C)

D)

Answer: CType: BI Var: 9Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)


9)

A)

B)

C)

D)

Answer: CType: BI Var: 16Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Powers)

3 Simplify Exponent Expression (Neg/Zero Exponent)

Simplify.

1) 120A) 12B) 1C) -1D) 0Answer: BType: BI Var: 15Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)

2) -110A) -1B) 0C) 1D) -11Answer: AType: BI Var: 15Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)


3) 110 + 40A) 1B) 15C) 0D) 2Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: AppliedObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)

4) (7x)0A) 7B) 0C) 1D) 7xAnswer: CType: BI Var: 7Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)

5) (x6)-3A) x9

B)

C) x18

D)

Answer: DType: BI Var: 5Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)


6) (2-3 × 5-4)-1A) 23 × 54

B)

C) 27 × 57

D)

Answer: AType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)

7) (73 × 55)-1

A)

B) 78 × 58C) 73 × 55

D)

Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)

8) (x-3y5)-2

A)

B)

C)

D)

Answer: DType: BI Var: 24Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)


9)

A)

B)

C)

D)

Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Neg/Zero Exponent)


4 Simplify Exponent Expression (Combined Rules)

Simplify.

1)

A)

B)

C) D) Answer: BType: BI Var: 6Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Combined Rules)

2) A) B)

C)

D)

Answer: CType: BI Var: 8Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Combined Rules)

3) A) B)

C)

D)

Answer: AType: BI Var: 9Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Combined Rules)


4) A)

B)

C)

D)

Answer: CType: BI Var: 4Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Combined Rules)

5)

A)

B)

C)

D) 9Answer: AType: BI Var: 8Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Combined Rules)

6)

A)

B)

C) 25

D)



7) A)

B)

C)

D)


8)

A)

B)

C) 27

D)


9)

A) 16

B)

C)

D)

Answer: DType: BI Var: 24Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Simplify Exponent Expression (Combined Rules)


10)

A)

B)

C)

D)


5 Use Calculator to Evaluate Expression (No Literal Numbers)

Evaluate the expression. All numbers are approximate. State your answer with the proper accuracy and precision.

1) 5 + - A) 500B) -499C) 509D) -1Answer: AType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Use Calculator to Evaluate Expression (No Literal Numbers)

2) - - A) -0.344B) -0.551C) -0.55D) 0.551Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Use Calculator to Evaluate Expression (No Literal Numbers)


3)

A) 35.01B) -35.005C) -35.0D) -123.81Answer: CType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Use Calculator to Evaluate Expression (No Literal Numbers)

4) 2.27 - 2420/ + A) 1.23B) 6932C) 5140D) 6930Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: RecallObjective: (1.4) Use Calculator to Evaluate Expression (No Literal Numbers)


6 Solve Apps: Operate with Exponents

Solve the problem.

1) The formula for the volume of a wire is π h, where r is the radius of the wire and h is the length. Find the volume of a wire if units and units.A) 25,000 B) 25,100 C) 72.9 D) 73 Answer: DType: BI Var: 50+Topic: 1.4 ExponentsSkill: AppliedObjective: (1.4) Solve Apps: Operate with Exponents

2) The volume of a sphere is Find the volume of a bearing if the diameter is

A) 28.7 B) 29 C) 230 D) 90.0 Answer: AType: BI Var: 41Topic: 1.4 ExponentsSkill: AppliedObjective: (1.4) Solve Apps: Operate with Exponents

3) If $3900 is invested at 5.3% interest, compounded quarterly, the amount in the account after 8 years is Calculate the amount (the 1 is exact).A) $0.09B) $5942.87C) $5900.00D) $1.52Answer: BType: BI Var: 50+Topic: 1.4 ExponentsSkill: AppliedObjective: (1.4) Solve Apps: Operate with Exponents


4) If the deflection (in cm) of a beam is calculated by the expression , where x

is the distance (in m) from one end of the beam to the point where the force is applied, then what is the deflection if the force is applied in the centre of a 11.08 m beam? (The 1000 and 20 are exact numbers.)A) 1.666 cmB) -7.7 cmC) 1.67 cmD) -0.569 cmAnswer: AType: BI Var: 50+Topic: 1.4 ExponentsSkill: AppliedObjective: (1.4) Solve Apps: Operate with Exponents

1.5 Scientific Notation

1 Change from Scientific to Ordinary Notation

Express the number in standard notation.

1) 7.65 × 107A) 76,500,000B) 535.5C) 7,650,000D) 765,000,000Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation

2) 6.482 × 106A) 388.92B) 648,200C) 6,482,000D) 64,820,000Answer: CType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation


3) 1.6923 × 107A) 16,923,000B) 118.461C) 169,230,000D) 1,692,300Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation

4) 2.42 × 10-4A) -242,000B) 0.00242C) 0.0000242D) 0.000242Answer: DType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation

5) 8.518 × 10-5A) 0.0008518B) -851,800C) 0.000008518D) 0.00008518Answer: DType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation

6) 4.574 × 10-6A) 0.000004574B) 0.0000004574C) -4,574,000D) 0.00004574Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation


7) 2.0584 × 10-7A) -205,840,000B) 0.0000020584C) 0.000000020584D) 0.00000020584Answer: DType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Scientific to Ordinary Notation

2 Change from Ordinary to Scientific Notation

Express the number in scientific notation.

1) 0.000582A) 5.82 × 10-5B) 5.82 × 10-3C) 5.82 × 10-4D) 5.82 × 104Answer: CType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

2) 0.00001398A) 1.398 × 105B) 1.398 × 104C) 1.398 × 10-5D) 1.398 × 10-4Answer: CType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation


3) 0.000001758A) 1.758 × 10-6B) 1.758 × 106C) 1.758 × 10-7D) 1.758 × 10-5Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

4) 0.000000156013A) 1.56013 × 10-7B) 1.56013 × 107C) 1.56013 × 106D) 1.56013 × 10-6Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

5) 0.0000000423015A) 4.23015 × 10-8B) 4.23015 × 10-7C) 4.23015 × 10-9D) 4.23015 × 108Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

6) 23,000,000,000A) 2.3 × 109B) 2.3 × 1010C) 2.3 × 10-9D) 2.3 × 10-10Answer: BType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation


7) 130,000,000,000,000,000A) 1.3 × 1017B) 130 × 10-15C) 1.3 × 10-17D) 130 × 1015Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

8) 8,400,000,000,000A) 8.4 × 1012B) 8.4 × 109C) 8.4 × 10-12D) 8.4 × 10-9Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

9) 8,965,000,000A) 8.965 × 106B) 8965 × 106C) 8.965 × 109D) 896.5 × 107Answer: CType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation

10) 501,717,000,000A) 501.717 × 109B) 5017.17 × 108C) 5.01717 × 1011D) 5.01717 × 109Answer: CType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change from Ordinary to Scientific Notation


3 Change to Scientific Notation and Calculate

Rewrite each number using scientific notation before performing the operation. Leave your answer in scientific notation form.

1) (300)(2000)A) 6.0 × 106

B) 6.0 × 105 C) 6.0 × 107

D) 6.0 × 104 Answer: BType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Change to Scientific Notation and Calculate

2) (300,000,000)(0.00003)A) 9.0 × 103

B) 9.0 × 101C) 0.0D) 9.0 × 102Answer: AType: BI Var: 18Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Change to Scientific Notation and Calculate

3)

A) 3 × 107

B) 3 × 108

C) 3 × 106

D) 3 × 103Answer: AType: BI Var: 4Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Change to Scientific Notation and Calculate


4) 2 × + 4 × A) 4.2 × 10-36

B) 6.0 × 10-36

C) 4.2 × 10-35

D) 4.2 × 10-37Answer: AType: BI Var: 21Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Change to Scientific Notation and Calculate

5) A) 4.12 × 10-21

B) 3.00 × 10-23

C) 4.12 × 1087

D) 3.00 × 1013Answer: CType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Change to Scientific Notation and Calculate


4 Use Calculator to Convert, Calculate, and Express (Approximate Numbers)

Use a calculator to perform the operation. Express your answer in scientific notation.

1) 0.0000700(0.00479)(0,000)A) 0.00007B) 0.000000000C) 3.353 ×D) 3.353 ×Answer: BType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Use Calculator to Convert, Calculate, and Express (Approximate Numbers)

2)

A) 1.89 × 10-3

B) 1.887749352 × 10-11

C) 1.89 × 10-1

D) 1.89 × 10-11Answer: DType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Use Calculator to Convert, Calculate, and Express (Approximate Numbers)

3)

A) 2.80 × 1020

B) 2.80 × 1022

C) 5.22 × 101

D) 2.797108674 × 1022Answer: BType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Use Calculator to Convert, Calculate, and Express (Approximate Numbers)


5 Solve Apps: Use Scientific Notation

Use scientific notation to solve the problem.

1) The national debt of a small country is $7,470,000,000 and the population is 2,998,000. What is the amount of debt per person?A) $2.49 × 103B) $2.49 C) $24.90D) $2.49 × 106Answer: AType: BI Var: 50+Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Solve Apps: Use Scientific Notation

2) A company produced 925,000 small appliances in one year and made a profit of $8,620,000. What was the profit on each appliance?A) $1.07B) $1.07 × 10-1C) $9.32D) $9.32 × 102Answer: CType: BI Var: 1Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Solve Apps: Use Scientific Notation

3) If the speed of light is 3.00 × 108 m/sec, how long does it take light to travel 2.29 × 1011 m, the distance from the sun to Mars?A) 7.63 × 102 secB) 7.63 × 102 minC) 763 secD) 7.63 × 103 secAnswer: AType: BI Var: 1Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Solve Apps: Use Scientific Notation


4) A computer can do one calculation in 1.4 × 10-7 seconds. How long would it take the computer to do a trillion (1012) calculations?A) 1.4 × 1012 secB) 1.4 × 10-7 secC) 1.4 × 106 secD) 1.4 × 105 secAnswer: DType: BI Var: 1Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Solve Apps: Use Scientific Notation

5) Assume that the volume of the earth is 5.0 × 1014 cubic metres and the volume of a bacterium is 2.5 × 10-16 cubic metres. If the earth could be filled with bacteria, how many would it contain?A) 2.0 × 1030 bacteriaB) 5.0 × 10-31 bacteriaC) 2.0 × 10-30 bacteriaD) 5.0 × 1031 bacteriaAnswer: AType: BI Var: 1Topic: 1.5 Scientific NotationSkill: AppliedObjective: (1.5) Solve Apps: Use Scientific Notation


6 Engineering Notation

Change number into engineering notation.

1) 3,415,000,000A) 3415 × B) 34.15 × C) 3.415 × D) 341.5 × Answer: CType: BI Var: 1Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change to Engineering Notation

2) 85,320,000,000A) 85.32 × B) 8.532 × C) 85320 × D) 853.2 × Answer: AType: BI Var: 1Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change to Engineering Notation

3) 0.0762A) 7.62 × B) 76.2 × C) 7.62 × D) 76.2 × Answer: BType: BI Var: 1Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change to Engineering Notation


4) 1.546 × A) 15.46 × B) 154.6 × C) 0.01546 × D) 1.546 × Answer: AType: BI Var: 1Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change to Engineering Notation

5) 2.88 × A) 2.88 × B) 2.88 × C) 288 × D) 0.288 × Answer: CType: BI Var: 1Topic: 1.5 Scientific NotationSkill: RecallObjective: (1.5) Change to Engineering Notation


1.6 Roots and Radicals

1 Simplify Expression (Perfect Squares)

Determine the principal value without using a calculator.

1) A) 17B) 144C) 18D) Not a real numberAnswer: AType: BI Var: 24Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

2)

A)

B)

C)

D)

Answer: AType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

3) -A) 21B) -220C) -21D) Not a real numberAnswer: CType: BI Var: 24Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)


4) -

A) -

B)

C) Not a real number

D) -

Answer: DType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

5) -A) Not real numberB) 9C) -3D) 3Answer: CType: BI Var: 9Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

6) A) 64B) Not real numberC) 22D) 8Answer: DType: BI Var: 9Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)


7) A) Not real numberB) 22.627C) 11.314D) -8Answer: DType: BI Var: 9Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

8) -A) 4.264B) -3C) 9D) Not real numberAnswer: BType: BI Var: 5Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

9) A) 2B) -2C) Not real numberD) -2 or 2Answer: AType: BI Var: 16Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)

10) A) -24B) Not real numberC) 24 or -24D) 24Answer: DType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: RecallObjective: (1.6) Simplify Expression (Perfect Squares)


2 Simplify Expression (Exact Answer)

Simplify.

1) A) 9B) 16C) 4D) 4Answer: DType: BI Var: 30Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

2) - A) 7B) -9C) 3D) -3Answer: DType: BI Var: 30Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

3) A) 5B) 20C) 4D) 8Answer: CType: BI Var: 25Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

4) A) 10B) 39C) 3D) 13Answer: CType: BI Var: 36Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)


5) - A) -105B) -27C) -15 D) -7 Answer: DType: BI Var: 36Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

6) 3A) 14B) 3C) 23D) 69Answer: BType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

7) A) 17B) Not a real numberC) 23D) 7Answer: AType: BI Var: 4Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

8) A) B) Not real numberC) D) 11Answer: AType: BI Var: 28Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)


9)

A)

B) 216C) 864D) 36Answer: DType: BI Var: 36Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)

10) A) 5B) 30C) 15D) 5Answer: DType: BI Var: 3Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Simplify Expression (Exact Answer)


3 Use Calculator to Find Value of Expression (Approximation)

Find the value of each square root by use of a calculator. Each number is approximate.

1) A) 18.2B) 1110C) 5.77D) 5.8Answer: CType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

2) A) 93.941B) 93.9C) 93.94D) 94Answer: CType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

3) A) 0.860B) 0.86C) 0.8600D) 0.5500Answer: CType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

4) A) 0.2660B) 0.27C) 0.266D) 0.840Answer: CType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)


5) A) 5.6829B) 4.0686C) 4.06859D) 5.68290Answer: BType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

6) + A) 5.81380B) 4.1427C) 5.8138D) 4.14270Answer: CType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

7) A) 0.25B) 0.152C) 0.15D) 0.249Answer: DType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

8) - A) 0.107B) 0.184C) 0.18D) 0.11Answer: AType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)


9) - A) 0.0498B) 0.0467C) 0.0606D) 0.0360Answer: DType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)

10) A) 0.0578B) 0.0600C) 0.05781D) 0.0476Answer: AType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Use Calculator to Find Value of Expression (Approximation)


4 Solve Apps: Square Roots

Use your calculator to solve the problem.

1) The length of a hypotenuse c of a right triangle with legs a and b of lengths a = 95mm and b = 26mm is given by c = . Calculate the length of the hypotenuse. (Round to an appropriate number of significant digits.)A) 121mmB) 98.49mmC) 98mmD) 91mmAnswer: CType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Solve Apps: Square Roots

2) When a ball with coefficient of restitution e is dropped from a height h metres onto a large flat

surface, the time t from the first impact until the ball stops bouncing is given by t =

seconds. Find the time it takes a ball with coefficient of restitution 0.26 to stop bouncing if it is dropped from a height of 90.0 centimetres. (Round to the nearest tenth.)A) 2.4 secondsB) 2.3 secondsC) 23.2 secondsD) 24.4 secondsAnswer: BType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Solve Apps: Square Roots

3) The impedance (in ohms) of a series RLC circuit is given by the expression , where R is the resistance of the resistor, is the reactance of the coil, and is the reactance of the capacitor. What is the impedance of a circuit containing a 640 ohm resistor, a coil with a reactance of 1056 ohms, and a capacitor with a reactance of 795 ohms? (All values are approximate.)A) 2.3 × 1011 ohmsB) 690 ohmsC) 480,000 ohmsD) 691 ohmsAnswer: BType: BI Var: 50+Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Solve Apps: Square Roots


4) At the end of a lease, a vehicle has a value V of $25,000. The original cost was $35,000. The annual rate of depreciation incurred by the leasing company can be expressed as . Find the annual rate (the 1 and 100 are exact).A) $86B) $49C) -$18D) $15Answer: DType: BI Var: 30Topic: 1.6 Roots and RadicalsSkill: AppliedObjective: (1.6) Solve Apps: Square Roots

1.7 Addition and Subtraction of Algebraic Expressions

1 Simplify Algebraic Expression (No Parentheses)

Collect like terms and write in descending order.

1) -6m3 - 4m3A) -30mB) Can't be simplifiedC) -10m3D) -10m6Answer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

2) -9y3 - 6y2A) -15y2B) -15y5C) -15y3D) Can't be simplifiedAnswer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)


3) -4x3y4 - 3x3y4 + 8x3y4 - 2x3y4 + 5x3y4A) 12x3y4B) Can't be simplifiedC) -6x3y4D) 4x3y4Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

4) 4z7 + 3z8A) 7z15B) 7z7C) 3z8 + 4z7D) 7z3Answer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

5) 9x3 + 3x3 - 5x3A) 7x9B) 7x3C) Can't be simplified D) -135x3Answer: BType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

6) 5x4 + 4x2 - 3x4A) 2x4 + 4x2B) 6x10C) Can't be simplified D) 6x2Answer: AType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)


7) 3m7 + 3m7 + 4m7 - 6m7A) Can't be simplifiedB) 4m28C) 4m7D) 28mAnswer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

8) 11a3 - 3a3 + 8a2 + 11a3 - 3a2A) 24a3B) 24a5C) 19a3 + 5a2D) Can't be simplifiedAnswer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

9) -6m9 + 12m4 - 11m3 + 8m9 - 5m4A) 6m16B) Can't be simplifiedC) 96mD) 2m9 + 7m4 - 11m3Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)

10) 9y4 + 7y3 - 9y2 + 9A) 7y9 + 9B) Can't be simplified C) 16y9D) 9y4 + 7y3 - 9y2Answer: BType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (No Parentheses)


2 Simplify Algebraic Expression (Parentheses)


1) (7a5 + 8a4) + (7a5 - 2a4)A) 20a18B) 20a9C) 14a5 + 6a4D) 14a10 + 6a8Answer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)

2) (14a4 - 3a3) - (-18a4 - 19a3)A) 32a4 + 16a3B) -4a4 - 22a3C) 48a7D) 32a4 - 22a3Answer: AType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)

3) (-2 + 9n6 - 2n4) + (8n6 + 8n4 + 5)A) 17 + 6n6 + 3n4B) 26n10C) 6n6 + 17n4 + 3D) 17n6 + 6n4 + 3Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)


4) (2n6 - 14n5 - 12) - (-18n5 + 5n6 + 4)A) -3n6 + 4n5 - 8B) -15n11C) -3n6 + 4n5 - 16D) -3n6 - 9n5 - 8Answer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)

5) (3n5 - 4n - 9n2) + (-7n2 + 7n5 - 3n)A) 3n5 - 4n2 - 12nB) 10n5 - 16n2 - 7nC) -13n8D) 10n - 16n5 - 7n2Answer: BType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)

6) (18n + 2n6 + 2n3) - (-16n3 + 5n6 - 3n)A) -3n6 + 18n3 + 21nB) 36n10C) -3n6 + 7n3 + 15nD) -3n6 + 18n3 + 15nAnswer: AType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)

7) (5 - 3x7 + 9x9 - 9x8) + (-7x8 - 5x7 + 3 + 4x9)A) -11x48 + 8B) -2x9 - 2x8 + 12x7 - 5C) 13x18 - 16x16 - 8x14 + 8D) 13x9 - 16x8 - 8x7 + 8Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)


8) (-8x4 + 9x6 - 2 + 8x5) - (9 + 6x5 + 3x6 - 5x4)A) 12x6 + 14x5 - 13x4 + 7B) 6x6 + 14x5 - 13x4 + 7C) 12x6 + 14x5 - 13x4 - 11D) 6x6 + 2x5 - 3x4 - 11Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)

9) (7x7 + 8x9 + 1 + 7x8) - (-6 - 9x8 + 6x9 - 9x7)A) 2x9 - 2x8 - 2x7 - 5B) 14x9 - 2x8 - 2x7 + 7C) 14x9 - 2x8 - 2x7 - 5D) 2x9 + 16x8 + 16x7 + 7Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Parentheses)


3 Simplify Algebraic Expression (Nested Parentheses)

Simplify the expression.

1) x - [9x - (x - 4)]A) -9x - 4B) -4x + 4C) -7x - 4D) -7x + 4Answer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Nested Parentheses)

2) y - [4y + (y - 3) + 7]A) 2y + 4B) -4y + 4C) -4y - 4D) -2y - 4Answer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Nested Parentheses)

3) z - {4z + [3z - (7z - 5) + 8]}A) 9z - 3B) z - 13C) -z - 13D) z - 3Answer: BType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Nested Parentheses)

4) b - {9b - [b - (5b - 8) - 5]}A) -14b - 3B) -12b + 3C) -2b + 13D) -12b + 13Answer: BType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Nested Parentheses)


5) [(9x2 + 8x + 6x3) - (2x2 + 10x - 9x3)] + x2A) 15x3 + 8x2 - 2xB) 15x3 + 6x2 - 2C) -3x3 + 12x2 + 18D) 3x3 - 10x2 - 18Answer: AType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Nested Parentheses)

6) [6y + (8y + 2)] - [(-8y + (-4 + 6y)) + 6y]A) 18y - 2B) 6y - 6C) 6y - 2D) 22y -2Answer: DType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: RecallObjective: (1.7) Simplify Algebraic Expression (Nested Parentheses)


4 Solve Apps: Addition/Subtraction Expressions


1) The shape of a curve in a machined part results in the expression 10R - (5R - r). Simplify the expression.A) 5R - rB) 10RC) r - 5RD) 5R + rAnswer: DType: BI Var: 4Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: AppliedObjective: (1.7) Solve Apps: Addition/Subtraction Expressions

2) Experiments on a new composite material yield

- .

Simplify the expression.

A) 3K - α

B) K - α

C) K - α

D) 3K - α

Answer: DType: BI Var: 3Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: AppliedObjective: (1.7) Solve Apps: Addition/Subtraction Expressions


3) A warehouse has x cases containing 17 boxes of product and x + 11 cases containing 22 boxes of product. Write a simplified expression to represent the total number of boxes of product in the warehouse.A) 39x + 11 boxesB) 50x boxesC) 39x + 242 boxesD) 11x + 374 boxesAnswer: CType: BI Var: 50+Topic: 1.7 Addition and Subtraction of Algebraic ExpressionsSkill: AppliedObjective: (1.7) Solve Apps: Addition/Subtraction Expressions

1.8 Multiplication of Algebraic Expressions

1 Multiply Monomials

Find the product.

1) 6(9x)A) 15xB) 54C) 54xD) 15Answer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials

2) (7a)(4a2)A) 28a3B) 28a4C) 11a3D) 7a + 4a2Answer: AType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials


3) (-8y)(-9y8)A) 72y9B) -17y8C) -72y9D) 8y - 9y8Answer: AType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials

4) (6x4)(8x5)A) 14x20B) 48x9C) 14x9D) 48x20Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials

5) (-3x4)(2x2)A) 5x6B) -6x6C) 5x8D) -6x8Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials

6) (-4x3)(-8x3)A) -32x9B) -12x9C) -12x6D) 32x6Answer: DType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials


7) (4m3z4)(2m2z2)A) 8mz5B) 8m5z6C) 8m5zD) 8mz6Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials

8) (-3m3z4)(4m2z2)A) -12m6z5B) -12mz5C) -12m5z6D) -12mz6Answer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials

9) (-4x2y4)(-3x2y2)A) 12x6y4B) 12x4y6C) 12xy6D) 12xy4Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Monomials


2 Multiply Polynomial by Monomial(s)

Find the product.

1) 11(3x - 11)A) 3x - 121B) 33x - 11C) -88xD) 33x - 121Answer: DType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

2) -3x(11x + 9)A) 11x2 - 27xB) -33x2 - 27xC) -60x2D) -33x2 + 9xAnswer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

3) 10x2(7x - 11)A) -40x2B) 70x3 - 11C) 70x3 - 110x2D) 70x - 110 Answer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)


4) 9x6(-11x2 + 10)A) -99x8 + 10B) -99x8 + 90x6C) -99x2 + 90D) -9x6Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

5) -6x3(4x7 + 7x6)A) -66x3B) -66x10 - 66x9C) -24x10 - 42x9D) -24x10 + 7x6Answer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

6) -12ax4(12ax4 - 4x3)A) -144ax + 48x B) -144a2x8 + 48x7C) -144a2x8 - 4x3D) -144a2x8 + 48ax7Answer: DType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

7) -10ax4(5ax5 - 2x4 - 2)A) -50ax5 + 20x4 + 20B) -50a2x9 - 2x4 - 2C) -50a2x9 + 20ax8D) -50a2x9 + 20ax8 + 20ax4Answer: DType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)


8) 7ax4(9ax4 + 4x2 - 11a)A) 63a2x8 + 28ax6 - 77a2x4B) 63a2x8 + 4x2 - 11aC) 63a2x8 + 28ax6D) 63ax4 + 28x2 - 77aAnswer: AType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

9) -7a2x7(4a6x7 + 6x5 - 10a)

A) -28a8x14 + 6x5 - 10a

B) -28a8x14 - 42a3x12 - 10aC) -28a8x14 - 42a2x12 + 70a3x7

D) -28a6x7 - 42x5 + 70aAnswer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomial by Monomial(s)

3 Multiply Polynomials

Perform the indicated operations.

1) (3x + 5y)(6x - y)A) 18x2 + 27xy - 5yB) 18x2 + 27xy - 5y2C) 9x2 + 27xy - 5y2D) 9x2 + 30xy - 5y2Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials


2) (4x - 1)(4x + )

A) 16x2 - 3x - 1

B) 16x2 - 3x -

C) 16x2 + 2x -

D) 16x2 - x -

Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials

3) 6(4x + 2y)(6x - 5y)A) 144x2 - 48xy - 2yB) 60x2 - 270xy - 60y2C) 144x2 - 48xy - 60y2D) 60x2 - 48xy - 60y2Answer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials

4) 8ax7(-7ax3 + 6x2 - 2a)A) -56a2x10 - 48ax9 + 16a2x7B) -56a2x10 + 48ax9 - 16a2x7C) -56a2x21 + 48ax14 - 16a2x7D) -56ax10 + 48ax9 - 16ax7Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials


5) (2x + y - z)2A) 4x2 + y2 + z2B) 4x2 + y2 + z2 + 2xy - 2xz - 2yzC) 4x2 + y2 + z2 - 2xyzD) 4x2 + y2 + z2 + 4xy - 4xz - 2yzAnswer: DType: BI Var: 3Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials

6) (2x - 7)(x - 8)A) x2 - 23x - 24B) 2x2 - 24x + 56C) x2 + 56x - 23D) 2x2 - 23x + 56Answer: DType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials

7) (-3 + x)(5x - 10)A) x2 - 25x - 25B) 5x2 - 25x + 30C) 5x2 - 26x + 30D) 5x2 + 30x - 25Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials

8) (x - 2)(4x - 5)A) 4x2 - 13x - 13B) 4x2 - 15x + 10C) 4x2 - 13x + 10D) 4x2 + 10x - 13Answer: CType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials


9) (x + 9y)(x - 2y)A) x2 + 7xy - 18y2B) x + 7xy - 18yC) x2 + 4xy - 18y2D) x2 + 7xy + 7y2Answer: AType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Multiply Polynomials

4 Square Binomial

Perform the indicated operations.

1) (n + 11)2A) n + 121B) 121n2 + 22n + 121C) n2 + 121D) n2 + 22n + 121Answer: DType: BI Var: 15Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial

2) (11 + p)2A) p + 121B) p2 + 22p + 121C) p2 + 121D) 121p2 + 22p + 121Answer: BType: BI Var: 15Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial


3) (10m + 3)2A) 10m2 + 60m + 9B) 100m2 + 60m + 9C) 10m2 + 9D) 100m2 + 9Answer: BType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial

4) (3x + 10y)2A) 3x2 + 100y2B) 3x2 + 60xy + 100y2C) 9x2 + 100y2D) 9x2 + 60xy + 100y2Answer: DType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial

5) (5x - 4y)2A) 5x2 + 16y2B) 25x2 - 40xy + 16y2C) 25x2 + 16y2D) 5x2 - 40xy + 16y2Answer: BType: BI Var: 49Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial

6) A) - 10xy + 25B) + 25C) - 10 + 25D) + 10 + 25Answer: CType: BI Var: 8Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial


7) 2A) 18 - 48x + 32B) 18 - 24x + 16C) 36 - 96x + 64D) 18 + 32Answer: AType: BI Var: 50+Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: RecallObjective: (1.8) Square Binomial

5 Solve Apps: Multiply Algebraic Expressions

Find the indicted product and simplify if possible.

1) The amount of material required to make a spherical shell is given by (R - r)(R2 + Rr + r2).

A) R3 - R2r + Rr2 - r3

B) R3 - r3

C) R3 + R2r + Rr2 + r3

D) R3 - r3

Answer: DType: BI Var: 1Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: AppliedObjective: (1.8) Solve Apps: Multiply Algebraic Expressions

2) The area of annulus (washer) is given by .

A)

B) +

C)

D)

Answer: AType: BI Var: 1Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: AppliedObjective: (1.8) Solve Apps: Multiply Algebraic Expressions


3) Measurements concerning the volume of liquid flowing through a valve result in the expression A) + - + 4F - 16B) - + - + 4F - 16C) - + - - 4F - 16D) - + - + 4F - 16Answer: DType: BI Var: 1Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: AppliedObjective: (1.8) Solve Apps: Multiply Algebraic Expressions

4) The expression - 18 - was used to determine the stress in a section of metal.A) - - + 36x + 207B) - + + 54C) - - + 180x - 378D) - - + 378Answer: BType: BI Var: 1Topic: 1.8 Multiplication of Algebraic ExpressionsSkill: AppliedObjective: (1.8) Solve Apps: Multiply Algebraic Expressions


1.9 Division of Algebraic Expressions

1 Divide Polynomial by Monomial

Divide. Write with positive exponents.

1)

A) 8x12 - 8x4B) 4x8 - 8x4C) 4x8 - 16x8D) -4x16Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Monomial

2)

A) -6 +

B) -6 + 6x3

C) 12x6 +

D) -6 - 12x3Answer: AType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Monomial

3)

A) 2x + 3

B) 2x + 3 +

C) 2x - 12x6 +

D) 7x + 3 Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: Recall


Objective: (1.9) Divide Polynomial by Monomial

4)

A) 8x - 12x5 +

B) 13x - 3 C) 8x - 3

D) 8x - 3 +

Answer: DType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Monomial

5)

A) 8x + 3 +

B) 8x2 + 3 +

C) 8x2 + 3 +

D) 8x + 3 +

Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Monomial

6)

A) -2x3 - 7x2 - 3 -

B) 2x3 + 7x2 + 3 +

C) 2x3 + 7x2 + 3 D) 2x3 + 11x2 + 3 Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Monomial


7)

A) 28x9 + 5x2 + 2 + +

B) 7x3 + 20x8 + 8x6 + 28x4 + 5x3C) 7x3 + 5x2 + 2

D) 7x3 + 5x2 + 2 + +


8)

A) 7x3 - 15x9 + 24x7 + 21x5 + 4x4

B) 21x10 - 5x2 + 8 + +

C) 7x3 - 5x2 + 8

D) 7x3 - 5x2 + 8 + +


9)

A) 2x3 + 15x9 + 6x8 + 15x6 + 7x4

B) 2x2 + 5x + 2 + +

C) 2x3 + 5x2 + 2

D) 6x10 + 5x2 + 2 + +

Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Monomial


2 Divide Polynomial by Binomial


1)

A) x - 45 B) x3 - 45 C) x2 + 6D) x + 6 Answer: DType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

2)

A) x2 + 3x - 40B) x2 - 6C) x - 6 D) x + 6Answer: CType: BI Var: 21Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

3)

A) 6m - 9 +

B) 6m + 9 C) m - 9 D) 6m - 9 Answer: DType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial


4)

A) y + 4

B) y +

C) y2 + 4D) y - 4 Answer: AType: BI Var: 8Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

5)

A) p - 4 +

B) p - 3 +

C) p + 3 +

D) p - 3 Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

6)

A) x + 6 -

B) x + 7 C) x + 6 +

D)

Answer: AType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial


7)

A) x + 6 +

B) x - 6 C) x2 + 6D) x + 6 Answer: DType: BI Var: 21Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

8)

A) 9 - xB) x + 9C) x - 9D) x + 4Answer: CType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

9)

A) 2x2 - 5B) 2x2 - 3x - 5C) x2 - 3x - 5D) x2 + 3x + 5Answer: BType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial


10)

A) 4y2 - 1B) 4y2 + 4y - 1C) 4y2 - 4y + 1D) 4y2 + 4yAnswer: BType: BI Var: 25Topic: 1.9 Division of Algebraic ExpressionsSkill: RecallObjective: (1.9) Divide Polynomial by Binomial

3 Solve Apps: Divide Algebraic Expressions

Perform the indicated division and find a simplified expression.

1) A patio has an area of Find the length if the width is A) m2 - 3m + 7B) m3 + 3m2 - 7mC) m2 + 13.5m - 7D) m2 + 3m - 7Answer: DType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: AppliedObjective: (1.9) Solve Apps: Divide Algebraic Expressions

2) The volume of a box is The height is p and the width is What is the length?A) 2p2 + 6p B) 2p3 + 6p2 C) p2 + 6D) 2p + 6Answer: AType: BI Var: 50+Topic: 1.9 Division of Algebraic ExpressionsSkill: AppliedObjective: (1.9) Solve Apps: Divide Algebraic Expressions


1.10 Solving Equations

1 Solve Equation Without Parentheses

Solve the equation.

1) a - 8 = -1A) -9 B) 9C) -7 D) 7 Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

2) 12 = b - 11A) -1B) -23C) 1D) 23Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

3) 5a = -30A) 35B) 1C) -6D) -35Answer: CType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses


4) -5x = -35A) 2B) -30C) 30D) 7Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

5) = -8

A) -2B) -3C) -4D) -40Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

6) = 5

A) 1B) 20C) 9D) 8Answer: BType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

7) 8r + 3 = 51A) 6B) 44C) 40D) 3Answer: AType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses


8) 3n - 7 = 8A) 12B) 9C) 16D) 5Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

9) 3z + 19 = 2z + 3A) -16B) 16C) -22D) 22Answer: AType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses

10) 10y = 7y + 7 + 2yA) -70B) -7C) 70D) 7Answer: DType: BI Var: 48Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation Without Parentheses


2 Solve Equation With Parentheses

Solve the equation.

1) 3(2z - 3) = 5(z + 3)A) 24B) 6C) -6D) 9Answer: AType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

2) -8x + 6(3x - 4) = -6 - 8x

A) -

B) 1C) - 15D) - 1Answer: BType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

3) 12(x - 48) = 24A) 24B) 46C) 48D) 50Answer: DType: BI Var: 49Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses


4) 9x - (8x - 1) = 2A) 1 B) - 1

C)

D) -

Answer: AType: BI Var: 28Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

5) 3(5x - 1) = 12

A)

B) 1

C)

D)

Answer: BType: BI Var: 28Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

6) 6(x + 5) - (6x + 30) = 0A) 0B) No solutionC) All real numbersD) 5Answer: CType: BI Var: 20Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses


7) (y - 8) - (y + 2) = 6y

A) -

B) -

C) -

D) -

Answer: CType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

8) (8x - 10) = (15x - 12)

A)

B) -20C) 1 D) -1 Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

9) (y - 9) - (y + 8) = 10y

A) -

B) -

C) -

D) -

Answer: AType: BI Var: 40Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses


10) (10x - 20) = (8x - 4)

A) 1 B) -6

C)

D) -1 Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation With Parentheses

3 Solve Equation (Special Conditions)

Solve the equation.

1) 4 - = 12A) x = -8B) x = ±8C) x = -16D) The equation is a contradiction.Answer: DType: BI Var: 5Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Equation (Special Conditions)

2) 9.5 - 0.3(x - 0.9) = 0.7x (All numbers are approximate.)A) x ≈ 1B) x ≈ 1.35519203C) x ≈ 10D) The equation is a contradiction.Answer: CType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Equation (Special Conditions)


3) = (All numbers are approximate.)

A) M = 14.7389163B) M ≈ 0.72C) M = 1.33990148D) M ≈ 1.8Answer: BType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Equation (Special Conditions)

4) 3(x - 4) + 1 = 3x - 6A) x = 0.8B) x = 1.7C) x = 5D) The equation is a contradiction.Answer: DType: BI Var: 6Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Equation (Special Conditions)


4 Solve Equation (Ratio/Proportion)

Solve. Give your answer as a mixed number if appropriate.

1) =

A) 96

B) 3C) 27D) 36Answer: CType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation (Ratio/Proportion)

2) =

A)

B) 264C) 132

D) 4

Answer: CType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation (Ratio/Proportion)

3) =

A) 1620

B) 6

C)

D) 37Answer: DType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation (Ratio/Proportion)


4) =

A) 6B) 5C) 24D) 4Answer: DType: BI Var: 24Topic: 1.10 Solving EquationsSkill: RecallObjective: (1.10) Solve Equation (Ratio/Proportion)

5 Solve Apps: Solving Equations

Solve the problem.

1) A reservation clerk worked 11.7 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations?A) 3.9 hours B) 5.2 hours C) 2.6 hours D) 10.4 hoursAnswer: BType: BI Var: 31Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Apps: Solving Equations

2) One half of a number is 3 more than one-sixth the same number. What is the number?A) 18B) 12C) 9D) 8Answer: CType: BI Var: 1Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Apps: Solving Equations


3) The sum of twice a number and 14 less than the number is the same as the difference between -30 and the number. What is the number?A) -4B) -3C) -8D) -5Answer: AType: BI Var: 50+Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Apps: Solving Equations

4) The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 80 cm long plays a B, what is the length of the string that plays a D?A) 96 cmB) 107 cmC) 80 cmD) 135 cmAnswer: DType: BI Var: 5Topic: 1.10 Solving EquationsSkill: AppliedObjective: (1.10) Solve Apps: Solving Equations


1.11 Formulas and Literal Equations

1 Solve Literal Equation for Indicated Variable

Solve the equation for the indicated variable.

1) ax + b = 0 for xA) -ab

B) -

C)

D) -b - aAnswer: BType: BI Var: 1Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable

2) = b for x

A)

B) ab

C)

D) b + aAnswer: CType: BI Var: 1Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable

3) = 3 for x

A) a + b + 3B) b - a + 3C) 3a + abD) 3a + bAnswer: DType: BI Var: 9Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable


4) 9r + 1 = 2s for r

A) 2s -

B) s - 1

C) s + 1

D)

Answer: DType: BI Var: 44Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable

5) 7r + 1 = 7s for rA) s - 1

B)

C) s -

D)

Answer: CType: BI Var: 9Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable

6) ay - 3 = 10ay - b for y

A)

B)

C)

D)

Answer: DType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable


7) q + 7x = 3q + 3 for qA) -2

B)

C)

D)

Answer: DType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable

8) n - (6 - a) = 2a for n

A) 3a + 18B) 9a + 18C) 9a - 18D) 0.33333333a + 2Answer: AType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable

9) 10 - (n + 0.125x) = 4n for xA) -24 n - 10B) -80 + 40 n

C)

D) -40 n + 80Answer: DType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable


10) 8 - (n + x) = 3n for n

A)

B) -28 n + 56

C)

D)

Answer: CType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Literal Equation for Indicated Variable


2 Solve Formula for Indicated Variable

Solve the formula for the specified variable.

1) A = bh for h

A) h =

B) h =

C) h =

D) h =

Answer: CType: BI Var: 2Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable

2) V = Bh for B

A) B =

B) B =

C) B =

D) B =

Answer: AType: BI Var: 2Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable

3) P = + + for A) = P + + B) = + P - C) = P - - D) = + - P Answer: CType: BI Var: 3Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable


4) F = C + 32 for C

A) C =

B) C = (F - 32)

C) C = (F - 32)

D) C =

Answer: BType: BI Var: 1Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable

5) a + b = s + rfor s

A) s = + b

B) s =

C) s = a + b - r D) s = r(a + b)Answer: CType: BI Var: 2Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable

6) S = 2πrh + 2πr2 for hA) h = 2π(S - r)

B) h = - 1

C) h = S - r

D) h =

Answer: DType: BI Var: 1Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable


7) I = for n

A) n =

B) n = IR(Ir - E)

C) n =

D) n =

Answer: DType: BI Var: 1Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable

8) A = h( + ) for

A) =

B) =

C) =

D) =

Answer: BType: BI Var: 1Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable

9) A = P(1 + nr) for n

A) n =

B) n =

C) n =

D) n =

Answer: AType: BI Var: 2Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Formula for Indicated Variable


3 Solve Apps: Formulas

Solve the formula for the indicated variable. Then use the supplied values to solve the equation.

1) The relationship between the distance p from an object to a lens, the distance q from the image to the lens, and the focal length f (the distance from the lens to the principal focus) is given by

Solve for f. What is the focal length when p is 927 mm and q is 23.6 mm? (All values

are approximate.)A) f = pq - p - q = 20,900 mm

B) f = + = 1.00 mm

C) f = p + q = 951 mm

D) f = = 23.0 mm

Answer: DType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Apps: Formulas

2) The energy W stored by a capacitor is given by W = QV, where V is the voltage across the

capacitor's terminals after Q coulombs of electricity have been transferred from one of the capacitor's plates to the other. Solve for Q. How many coulombs have been transferred if W is 0.43 watts and V is 13.5 volts? (All values are approximate.)

A) Q = = 2.9 coulombs

B) Q = = 0.064 coulombs

C) Q = 2WV = 12 coulombsD) Q= V = 2.5 coulombsAnswer: BType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Apps: Formulas


3) The total surface area of a rectangular solid of length L, width W, and height H is given by Solve for H. What is the height if the area A is 2093 , the length is 33.5

cm, and the width is 17.5 cm? (All measurements are approximate.)

A) H = = 753 cm

B) H = = 29.5 cm

C) H = = 9.02 cm

D) H = A - 2LW - 2L - 2W = 819 cmAnswer: CType: BI Var: 50+Topic: 1.11 Formulas and Literal EquationsSkill: AppliedObjective: (1.11) Solve Apps: Formulas

1.12 Applied Word Problems

1 Solve Apps: Write Equation and Solve I

Solve the problem.

1) Pennies are packaged 50 in a roll. A mother gave her son 121 pennies for his bank and she had 29 pennies left over. How many rolls of pennies did she use?A) 4 rollsB) 5 rollsC) 6 rollsD) 3 rolls Answer: DType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I

2) Elaine had 16 buttons and her grandmother donated 9 cards of buttons to the collection. Elaine sorted the buttons into 10 piles, putting 7 buttons in each pile. How many buttons were on each card from Elaine's grandmother?A) 64 buttonsB) 14 buttonsC) 67 buttonsD) 6 buttons Answer: DType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I


3) Junior high classes of 35 students each met in the cafeteria to take achievement tests. If exactly 5 students sat at each table and 21 tables were used, how many classes took the tests?A) 5 classesB) 16 classesC) 6 classesD) 3 classesAnswer: DType: BI Var: 42Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I

4) A convention manager finds that she has $1360, made up of twenties and fifties. She has a total of 50 bills. How many fifty-dollar bills does the manager have?A) 12 fifty-dollar billsB) 8 fifty-dollar billsC) 38 fifty-dollar billsD) 50 fifty-dollar billsAnswer: AType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I

5) A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels does she have?A) 18 nickelsB) 3 nickelsC) 13 nickelsD) 8 nickelsAnswer: DType: BI Var: 2Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I


6) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 5 more of the twenties. The total value of the money is $775. Find the number of five-dollar bills that the teller has.A) 27 five-dollar billsB) 37 five-dollar billsC) 32 five-dollar billsD) 22 five-dollar billsAnswer: AType: BI Var: 18Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I

7) A cashier has a total of 132 bills, made up of fives and tens. The total value of the money is $760. How many ten-dollar bills does the cashier have?A) 30 ten-dollar billsB) 20 ten-dollar billsC) 112 ten-dollar billsD) 10 ten-dollar billsAnswer: BType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve I


2 Solve Apps: Write Equation and Solve II

Solve the problem. Assume all data are accurate to two significant digits unless greater accuracy is given.

1) Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than the other, find the price of the less expensive piece of equipment.A) $1600B) $2425C) $1575D) $2400Answer: CType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve II

2) A company sold 4.9 million items in a two-year period. Sales increased by 100,000 the second year. How many were sold the second year?A) 2,400,000B) 2,500,000C) 3,000,000D) 3,750,000Answer: BType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve II

3) Two cities are 73.7 km apart. Vehicle A leaves one city at the same time vehicle B leaves the other. Find the speed of vehicle A if it travels 6.1 km/h faster than vehicle B and if they pass in 13.5 minutes.A) 5.8 km/hB) 160.7 km/hC) 166.8 km/hD) 164.0 km/hAnswer: CType: BI Var: 50+Topic: 1.12 Applied Word ProblemsSkill: AppliedObjective: (1.12) Solve Apps: Write Equation and Solve II


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nursingtestbank1.com€¦ · Web viewChapter 1 Basic Algebraic Operations . 1.1 Numbers. 1 Identify Integer/Rational/Irrational/Real/Imaginary Numbers. Identify the specified numbers