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Over Lesson 1–2
A. naturals (N), wholes (W), integers (Z)
B. wholes (W), integers (Z), reals (R)
C. naturals (N), wholes (W), rationals (Q), reals (R)
D. naturals (N), wholes (W), integers (Z), rationals (Q), reals (R)
Over Lesson 1–2
A. naturals (N), wholes (W)
B. reals (R)
C. rationals (Q), reals (R)
D. integers (Z), reals (R)
Over Lesson 1–2
A. Associative Property of Addition
B. Identity Property
C. Distributive Property
D. Substitution Property
Name the property illustrated by3(4 + 0.2) = 3(4) + 3(.02).
Over Lesson 1–2
Which equation illustrates the Additive Identity Property?
A. 5 + 0 = 5
B. 5(1) = 5
C. 5 + (–5) = 0
D.
Verbal to Algebraic Expression
A. Write an algebraic expression to represent the verbal expression 7 less than a number.
Answer: n – 7
Verbal to Algebraic Expression
B. Write an algebraic expression to represent the verbal expression the square of a number decreased by the product of 5 and the number.
Answer: x2 – 5x
A. 6x
B. x + 6
C. x6
D. x – 6
A. Write an algebraic expression to represent the verbal expression 6 more than a number.
A. x3 – 2
B. 2x3
C. x2 – 2
D. 2 + x3
B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number.
Algebraic to Verbal Sentence
A. Write a verbal sentence to represent 6 = –5 + x.
Answer: Six is equal to –5 plus a number.
Algebraic to Verbal Sentence
B. Write a verbal sentence to represent 7y – 2 = 19.
Answer: Seven times a number minus 2 is 19.
A. The difference of a number and 3 is 7.
B. The sum of a number and 3 is 7.
C. The difference of 3 and a number is 7.
D. The difference of a number and 7 is 3.
A. What is a verbal sentence that represents the equation n – 3 = 7?
A. Five is equal to the difference of 2 and a number.
B. Five is equal to twice a number.
C. Five is equal to the quotient of 2 and a number.
D. Five is equal to the sum of 2 and a number.
B. What is a verbal sentence that represents the equation 5 = 2 + x?
Identify Properties of Equality
A. Name the property illustrated by the statement.
a – 2.03 = a – 2.03
Answer: Reflexive Property of Equality
Identify Properties of Equality
B. Name the property illustrated by the statement.
If 9 = x, then x = 9.
Answer: Symmetric Property of Equality
A. Reflexive Property of Equality
B. Symmetric Property of Equality
C. Transitive Property of Equality
D. Substitution Property of Equality
A. What property is illustrated by the statement?
If x + 4 = 3, then 3 = x + 4.
A. Reflexive Property of Equality
B. Symmetric Property of Equality
C. Transitive Property of Equality
D. Substitution Property of Equality
B. What property is illustrated by the statement?
If 3 = x and x = y, then 3 = y.
Solve One-Step Equations
A. Solve m – 5.48 = 0.02. Check your solution.
m – 5.48 = 0.02 Original equation
m – 5.48 + 5.48 = 0.02 + 5.48 Add 5.48 to each side.
m = 5.5 Simplify.
Check m – 5.48 = 0.02 Original equation
Answer: The solution is 5.5.
0.02 = 0.02 Simplify.
5.5 – 5.48 = 0.02 Substitute 5.5 for m.
?
Solve One-Step Equations
Original equation
Simplify.
Solve One-Step Equations
Answer: The solution is 36.
Substitute 36 for t.
Simplify.
Check Original equation
?
A. –8
B. –2
C. 2
D. 8
A. What is the solution to the equation x + 5 = 3?
B. What is the solution to the equation
A. 5
B.
C. 15
D. 30
Solve a Multi-Step Equation
Solve 53 = 3(y – 2) – 2(3y – 1).
53 = 3(y – 2) – 2(3y – 1) Original equation
53 = 3y – 6 – 6y + 2 Apply the Distributive Property.
53 = –3y – 4 Simplify the right side.
57 = –3y Add 4 to each side.
–19 = y Divide each side by –3.
Answer: The solution is –19.
What is the solution to 25 = 3(2x + 2) – 5(2x + 1)?
A. –6
B.
C.
D. 6
Solve for a Variable
Surface area formula
Subtract πr 2 from
each side.
Simplify.
Solve for a Variable
Divide each side by πr.
Simplify.
GEOMETRY The formula for the perimeter of a rectangle is where P is the perimeter, and w is the width of the rectangle. What is this formula solved for w?
A.
B.
C.
D.
A B
C D
Read the Test ItemYou are asked to find the value of the expression 4g – 2. Your first thought might be to find the value of g and then evaluate the expression using this value. Notice that you are not required to find the value of g. Instead, you can use the Subtraction Property of Equality.
Solve the Test Item
Answer: C
Original equation
Subtract 7 from each side.
Simplify.
A. 12
B. 6
C. –6
D. –12
If 2x + 6 = –3, what is the value of 2x – 3?
• Assignment: pg 22 #22-28, 30-33, 35-42, 45, 46