14
1-1 Numbers and Patterns 1-2 Exponents 1-3 Order of Operations 1-4 Properties of Numbers 1-5 Evaluating Algebraic Expressions 1-6 Writing Algebraic Expressions 1-7 Equations and Their Solutions 1-8 Solving Equations by Subtracting 1-9 Solving Equations by Adding 1-10 Solving Equations by Dividing 1-11 Solving Equations by Multiplying Preview Preview Lesson Lesson Quizzes Quizzes

1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Embed Size (px)

Citation preview

Page 1: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

1-1 Numbers and Patterns1-2 Exponents1-3 Order of Operations1-4 Properties of Numbers1-5 Evaluating Algebraic Expressions1-6 Writing Algebraic Expressions1-7 Equations and Their Solutions1-8 Solving Equations by Subtracting1-9 Solving Equations by Adding1-10 Solving Equations by Dividing1-11 Solving Equations by Multiplying

PreviewPreview

Lesson QuizzesLesson Quizzes

Page 2: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Identify a possible pattern. Use your pattern to write next three numbers.

Lesson Quiz: Part I

1. –8, –6, –4, , , , …

Add 2; –2, 0, 2

2. –3, 6, –12, 24, , , , …

Multiply by –2; –48, 96, –192

3. 0, 1, 3, 6, 10, , , , …

Add 1 more than the number previously added; 15, 21, 28.

1-1 Numbers and Patterns

Page 3: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Identify a possible pattern. Use your pattern to draw the next three figures.

4.

5. Make a table that shows the number of dots in the figure. Tell how

many dots are in the seventh figure of a possible pattern. Use drawings to justify your answer.

Lesson Quiz: Part II

14

1-1 Numbers and Patterns

Page 4: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Lesson Quiz

Find each value.

1. 73

3. 34

Write each number using an exponent and the given base.

5. 125, base 5

6. 16, base 2

7. Find the volume of a cube if each side is 12 inches long.

216343

812. 63

4. 85 32,768

53

24

1,728 in3

1-2 Exponents

Page 5: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Lesson Quiz: Part I

Simplify each expression.

1. 27 + 56 ÷ 7

2. 9 7 – 5

3. (28 – 8) ÷ 4

4. 136 – 102 ÷ 5

5. (9 – 5)3 (7 + 1)2 ÷ 4

58

35

5

116

1,024

1-3 Order of Operations

Page 6: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Lesson Quiz: Part II

6. Denzel paid a basic fee of $35 per month plus

$2 for each phone call beyond his basic plan.

Simplify the expression 35 + 8(2) to find how

much Denzel paid for a month with 8 calls

beyond the basic plan.

$51

1-3 Order of Operations

Page 7: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Lesson QuizTell which property is represented.

1. 17 1 = 17

2. (12 + 14) + 5 = 12 + (14 + 5)

3. 2 16 = 16 2

Simplify each expression. Justify each step.

4. 4 12 25

5. 48 + (15 + 2)

Use the Distributive Property to find each product.

6. 6 (12 + 5)

7. (20 – 7) 9

Identity Property

Associative Property

Commutative Property

1,200

65

102117

1-4 Properties of Numbers

Page 8: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Lesson QuizEvaluate n + 7 for each value of n.

1. n = 25 2. n = 31

Evaluate each algebraic expression for the given value of the variables

3. 6y – 5 for y = 7

4. 4x2 + 3x for x = 6

5. + 3y for x = 4 and y = 3

6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks?

3832

37

162

56x 23

84

1-5 Evaluating Algebraic Expressions

Page 9: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Lesson Quiz

Write each phrase as an algebraic expression.

1. 18 less than a number

2. the quotient of a number and 21

3. 8 times the sum of x and 15

4. 7 less than the product of a number and 5

x – 18

8(x + 15)

5n – 7

5. The county fair charges an admission of $6 and then charges $2 for each ride. Write an algebraic expression to represent the total cost after r rides at the fair. 6 + 2r

x21

1-6 Writing Algebraic Expressions

Page 10: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Determine whether the given value of each variable is a solution.

1. 85 = 13x for x = 5

2. w + 38 = 210 for w = 172

3. 8y = 88 for y = 11

4. 16 = w 6 for w = 98

Lesson Quiz

no

yes

yes

no

no

5. The local pizza shop charged Kylee $172 for 21 medium pizzas. The price of a medium pizza is $8. Determine if Kylee paid the correct amount of money. (Hint: $8 • pizzas = total cost.)

1-7 Equations and Their Solutions

Page 11: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Solve each equation.

1. x + 15 = 72

2. 81 = x + 24

3. x + 22 = 67

4. 93 = x + 14

Lesson Quiz

x = 57

x = 57

x = 45

x = 79

56 inches5. Kaitlin is 2 inches taller than Reba. Reba is

54 inches tall. How tall is Kaitlin?

1-8 Solving Equations by Subtracting

Page 12: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

1. x – 9 = 21

2. 14 = x – 3

3. x – 7 = 11

4. 16 = x – 14

5. x – 9 = 11

Lesson Quiz

6. Susan is taller than James. The difference in their height is 4 inches. James is 62 inches tall. How tall is Susan?

x = 30

x = 17

x = 18

x = 30

x = 20

66 inches

1-9 Solving Equations by Adding

Page 13: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

Solve each equation.

1. 10y = 300

2. 2y = 82

3. 63 = 9y

4. 78 = 13x

Lesson Quiz

5. The area of a board game is 468 square inches. Its width is 18 inches. What is the length?

y = 30

y = 41

y = 7

x = 6

26 inches

1-10 Solving Equations by Dividing

Page 14: 1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers

1. = 7

2. 8 =

3. = 11

4. = 7

Lesson Quiz

5. The area of Sherry’s flower garden is one-fourth the area of her vegetable garden. Thearea of the flower garden is 17 square feet. Let xrepresent the area of her vegetable garden. Findthe area of her vegetable garden.

x = 70

x = 32

x = 99

x = 105

68 square feet

x 4

x 9

Solve each equation. Check your answers.

x 10

x 15

1-11 Solving Equations by Multiplying