Five-Minute Check (over Lesson 1–7)

Main Idea and Vocabulary

Key Concept: Distributive Property

Example 1:Write Sentences as Equations

Example 2:Write Sentences as Equations

Example 3:Real-World Example

Concept: Summary: Real Number Properties

Example 4:Use Properties to Evaluate Expressions

• equivalent expressions

• properties

• Use Commutative, Associative, Identity, and Distributive properties to solve problems.

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Write Sentences as Equations

Use the Distributive Property to evaluate the expression 8(5 + 7).

Answer: 96

8(5 + 7) = 8(5) + 8(7) Distributive Property

= 40 + 56 Multiply.

= 96 Add.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 9

B. 12

C. 27

D. 36

Use the Distributive Property to evaluate the expression 4(6 + 3).

Write Sentences as Equations

Use the Distributive Property to evaluate the expression 6(9) + 6(2).

Answer: 66

6(9) + 6(2) = 6(9 + 2)Distributive Property

= 6(11) Add.

= 66Multiply.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 8

B. 26

C. 56

D. 105

Use the Distributive Property to evaluate the expression (5 + 3)7.

VACATIONS Mr. Harmon has budgeted $150 per day for his hotel and meals during his vacation. If he plans to spend six days on vacation, how much will he spend?

You can find how much Mr. Harmon will spend over the six-day period by finding 6 × 150. You can use the Distributive Property to multiply mentally.

6(150) = 6(100 + 50) Rewrite 150 as 100 + 50.

Answer: Mr. Harmon will spend about $900 on a six-day vacation.

= 6(100) + 6(50) Distributive Property

= 600 + 300 Multiply.

= 900 Add.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. $2.50

B. $62.50

C. $150

D. $162.50

COOKIES Heidi sold cookies for $2.50 per box for a fundraiser. If she sold 60 boxes of cookies, how much money did she raise?

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Find 5 ● 13 ● 20 mentally. Justify each step.

Answer: 1,300

Use Properties to Evaluate Expressions

5 ● 13 ● 20 = 5 ● 20 ● 13 Commutative Property of Multiplication

= (5 ● 20) ● 13 Associative Property of Multiplication

= 100 ● 13 or 1,300 Multiply 100 and 13 mentally.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. Associative Property of Addition

B. Commutative Property of Addition

C. Identity Property of Addition

D. A and B

Name the property shown by the statement 4 + (6 + 2) = (4 + 6) + 2.

End of the Lesson

Five-Minute Check (over Lesson 1–7)

Image Bank

Math Tools

Arithmetic Sequences

Modeling Algebraic Expressions

Function Machines

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 1-7)

A. 82

B. 72

C. 32

D. 28

Solve the equation 27 + n = 55 mentally.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 1-7)

A. 3

B. 4

C. 5

D. 6

Solve the equation 9y = 45 mentally.

1. A

2. B

3. C

A B C

0% 0%0%

(over Lesson 1-7)

Name the number from the list {1.6, 2.8, 3.1} that is the solution of the equation 2.4 + a = 4.

A. 1.6

B. 2.8

C. 3.1

1. A

2. B

3. C

(over Lesson 1-7)

Name the number from the list {2.3, 3.5, 4.6} that is the solution of the equation 18m = 63.

A. 2.3

B. 3.5

C. 4.6

A B C

0% 0%0%

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 1-7)

A. $8.50

B. $8.75

C. $9.50

D. $9.75

Kieran worked for 9.5 hours and earned $80.75. How much does she get paid per hour? Use the equation 9.5w = 80.75, where w is Kieran’s hourly wage.

1. A

2. B

3. C

4. D

0% 0%0%0%

(over Lesson 1-7)

Warren had 26 bobbleheads in his collection. After he bought some more bobbleheads at an auction, he had a total of 32 bobbleheads. Which equation could be used to find how many bobbleheads he bought at the auction?

A. 32 + t = 26

B. 32 ÷ t = 26

C. 26 – 32 = t

D. 26 + t = 32