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?