Five-Minute Check (over Chapter 11)

Main Idea and Vocabulary

Key Concept: Distributive Property

Example 1:Use the Distributive Property

Example 2:Apply the Distributive Property

Example 3:Rewrite Algebraic Expressions

Example 4:Rewrite Algebraic Expressions

• Distributive Property

• Use the Distributive Property to compute multiplication problems mentally and to rewrite algebraic expressions.

Use the Distributive Property

Find 8 × 64 mentally using the Distributive Property.8 × 64 = 8(60 + 4)

Write 64 as 60 + 4.

= 8(60) + 8(4)Distributive

Property

= 480 + 32Multiply 8 and 60

mentally.

= 512Add.

Answer: 512

1. A

2. B

3. C

4. D0% 0%0%0%

A. 77

B. 363

C. 392

D. 455

Find 7 × 56 mentally using the Distributive Property.

Apply the Distributive Property

Su is baking cookies and cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. How many total cups of sugar are needed if she is making 5 batches of each?

Method 1 Multiply. Then add.

5(2) + 5(3) = 10 + 15 or 25 cups

amount of sugar for cookies

amount of sugar for cupcakes

Apply the Distributive Property

Method 2 Add. Then multiply.

5(2 + 3) = 5(5) or 25 cups.

amount of sugar for one batch of cookies and one batch of cupcakes

Answer: Using either method, Su needs 25 cups of sugar.

1. A

2. B

3. C

4. D0% 0%0%0%

A. $6.00

B. $12.00

C. $10.00

D. $18.00

A package of pencils costs $2.00 each and a package of pens costs $4.00 each. How much will Robert spend if he buys 3 packages of each?

Rewrite Algebraic Expressions

Use the Distributive Property to rewrite 4(x – 3).

4(x – 3) = 4[x + (–3)]Rewrite x – 3 as x

+ (–3).

= 4(x) + 4(–3)Distributive

Property

= 4x + (–12)Multiply.

= 4x – 12Rewrite 4x + (–12)

as 4x – 12.

Answer: 4x – 12

1. A

2. B

3. C

4. D0% 0%0%0%

A. 3x – 9

B. 3x – 6

C. 3x – 3

D. x – 9

Use the Distributive Property to rewrite 3(x – 3).

Rewrite Algebraic Expressions

Use the Distributive Property to rewrite 5(x + 6).

5(x + 6) = 5(x) + 5(6)Distributive

Property

= 5x + 30Multiply.

Answer: 5x + 30

1. A

2. B

3. C

4. D0% 0%0%0%

A. 6x + 10

B. 6x + 24

C. 6x + 4

D. x + 24

Use the Distributive Property to rewrite 6(x + 4).

End of the Lesson

Five-Minute Check (over Chapter 11)

Image Bank

Math Tools

Solving Equations Using Addition and Subtraction

1. A

2. B

3. C

4. D0% 0%0%0%

A. –2, –9, 10, 5

B. 10, –9, 5, –2

C. –2, 5, –9, 10

D. –9, –2, 5, 10

Order –2, 5, 10, and –9 from least to greatest.

(over Chapter 11)

1. A

2. B

3. C

4. D0% 0%0%0%

A. –5

B. 5

C. –11

D. 11

Find –3 + (+8).

(over Chapter 11)

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 11)

A. –3

B. 3

C. –19

D. 19

Find –8 – (–11).

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 11)

A. –2

B. 2

C. –35

D. 35

Find –5(–7).

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 11)

A. –7

B. 7

C. –42

D. 6

Find –49 ÷ 7.

1. A

2. B

3. C

4. D

0% 0%0%0%

(over Chapter 11)

A. (–1, 2)

B. (–3, 3)

C. (0, 3)

D. (–4, –1)

Which of the following coordinates lie outside the circle?