Chapter 6 Math Review: Expressions

Powers & Exponents

100

What is 5³ written as the product of the same factor, and what is the value of 5³?

5 x 5 x 5

Value: 125

200

(1/2)³

What is this written as a product of the same factor, and what is the value

1/2 * 1/2 * 1/2

1/8

300

Write the product using an exponent

27 x 27 x 27 x 27

27⁴

400

Write the product using an exponent:

9 x9 x9 x9 x9 x9 

9⁶

500

Write the power as a product of the same factor, and find the value:

(1/4)³

1/4 * 1/4 * 1/4

1/64

Numerical Expressions

100

Find the value of the expression:

10 - 2 + 8(4)

40

200

Find the value of the expression:

20 -: 4 + 17 xx 3

56

300

Find the value of the expression:

5 + (8² - 2) x 2

129

400

Find the value of the expression:

55 -: 11 + 7 xx (2 + 14) =

167

500

Find the value of this expression:

9 + 4³ * (20-8) -: 2 + 6

399

Variables, Expressions, & Properties

100

Evaluate the expression if m=2 and n = 16

2m + (n -: 4)

8

200

Write an expression for the phrase. Use n as your variable.

3 years less than Nancy's age

n-3

300

Are the two expressions equivalent?  If so, what property is applied?

(8 + 27) + 52 and 8 + (27 + 52)

Yes.

Associative Property

400

Are the two expressions equivalent?  If so, tell what property was applied.

9 x 12 and 12 x 9

Yes.

Commutative Property

500

Are the two expressions equivalent?  If so, tell what property was applied.

24 -: 6 and 6 -: 24

No.

The Commutative Property does not apply to division

Enter Category Name

100

Use the Distributive Property to solve the expression:

2( 7 + 4)

22

200

Use the Distributive Property to rewrite 8(n + 3)

8n + 24

300

Factor this expression:

12 + 8

12 + 8 = 4(3+2)

400

Use the Distributive Property to find the product. Show both the steps using the Distributive Property and the final product.

9 x 44

Steps:

9(40) + 9(4)

360 + 36

396

500

Factor the Expression:

30 + 12x

30 + 12x = 6(5 + 2x)

Equivalent Expressions

100

Simplify the Expression:

3x + 8y + 2x

5x + 8y

200

Simplify the expression:

7(3x + 5y)

21x + 35y

300

Simplify the Expression:

4(7x + 5y)

28x + 20y

400

Factor the Expression:

10x + 15y

10x + 15Y = 5(2x + 3y)

500

Factor the Expression: 

35x + 63y

35x + 63y = 7(5x + 9y)