Five-Minute Check (over Lesson 2–8)

Main Idea and Vocabulary

Example 1:Write Expressions Using Powers

Example 2:Write Expressions Using Powers

Key Concept: Zero and Negative Exponents

Example 3:Evaluate Powers

Example 4:Evaluate Powers

Example 5:Evaluate Powers

• power

• base

• exponent

• Use powers and exponents in expressions.

Write Expressions Using Powers

Associative Property

Answer:

Definition of exponents

1. A

2. B

3. C

4. D0% 0%0%0%

A. 23 ● 53

B. 24 ● 53

C. (2 ● 5)4

D. (2 ● 5)7

Write 2 ● 2 ● 2 ● 2 ● 5 ● 5 ● 5 using exponents.

Write Expressions Using Powers

Write p ● p ● p ● q ● p ● q ● q using exponents.

p ● p ● p ● q ● p ● q ● q

= p ● p ● p ● p ● q ● q ● q Commutative Property

= (p ● p ● p ● p) ● (q ● q ● q) Associative Property

Answer: p4 ● q3

= p4 ● q3 Definition of exponents

1. A

2. B

3. C

4. D0% 0%0%0%

A. x3 ● y4

B. x4 ● y3

C. x3 ● y7

D. (x ● y)7

Write x ● y ● x ● x ● y ● y ● y using exponents.

Evaluate Powers

Answer:

Write the power as a product.

Multiply.

1. A

2. B

3. C

4. D0% 0%0%0%

A.

B.

C.

D.

Evaluate 3–7.

Evaluate Powers

Answer:

Write the power using a positive exponent.

Simplify.

1. A

2. B

3. C

4. D0% 0%0%0%

Evaluate 2–5.

A.

B.

C.

D.

ALGEBRA Evaluate x3 ● y5 if x = 4 and y = 2.

x3 ● y5 = 43 ● 25 Replace x with 4 and y with 2.

Answer: 2,048

Evaluate Powers

= (4 ● 4 ● 4) ● (2 ● 2 ● 2 ● 2 ● 2)Write the powers as products.

= 64 ● 32 Simplify.

= 2,048 Simplify.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 576

B. 1,846

C. 2,304

D. 3,112

ALGEBRA Evaluate x2 ● y4 if x = 3 and y = 4.

End of the Lesson

Five-Minute Check (over Lesson 2–8)

Image Bank

Math Tools

Multiplying Fractions

Multiplying and Dividing Fractions

1. A

2. B

3. C

4. D0% 0%0%0%

A. 25 seats

B. 31 seats

C. 37 seats

D. 43 seats

In a stadium there are 10 seats in the 1st row, 13 seats in the 2nd row, 16 seats in the 3rd row, and so on. How many seats are in the 10th row?

(over Lesson 2-8)

1. A

2. B

3. C

4. D0% 0%0%0%

Find the next three numbers in the sequence 20, 24, 21, 25, 22, 26. . .

(over Lesson 2-8)

A. 28, 32, 29

B. 23, 27, 24

C. 30, 27, 31

D. 24, 28, 25

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 24

B. 28

C. 30

D. 32

Sarah rents videos from a video rental store that charges a monthly rate of $9.95 plus $0.75 per video rental. If Sarah’s total monthly bill was $30.95, how many videos did she rent?

(over Lesson 2-8)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 130 miles

B. 162.5 miles

C. 195 miles

D. 227.5 miles

(over Lesson 2-8)

The Ito family is driving to Oklahoma City from Houston. If they average 65 miles per hour, how far

will they drive in hours?