Mid Chapter 7 Review

Distributive Property (6.EE.3)

100

Rewrite using distributive property.

5(7 + 4)

35 + 20

200

Rewrite using distributive property

(8 - 3)9

72 - 27

300

Rewrite using distributive property 

4(x + 2)

4x + 8

400

Rewrite using distributive property

(7 - 3m)12

84 - 36m

500

Are these expressions equivalent? Show your work.

2(6x + 2) and 4(3x + 1)

Yes

2(6x + 2) = 12x + 4

4(3x + 1) = 12x + 4

Combining Like Terms(6.EE.4)

100

Combine like terms to write an equivalent expression.

4x + 8x² + x + 6 – 3

8x² + 5x + 3

200

Combine like terms to write an equivalent expression.

7 + 4x² + 6x² + x + x² – 4

11x² + x + 3

300

Simplify to write an equivalent expression.

9(2 + 5x) - 10x + 2

9(2 + 5x) - 10x + 2
18 + 45x - 10x + 2

= 20 + 35x

or 35x + 20

400

Which pair of expressions are equivalent?

A) 10g - 2 and 8g

B) c + c + a + a + a and 2c + 3a

C) 3q ÷ 5 and 5q ÷ 3

B

c + c = 2c 

a + a + a = 3a

500

The cost for a taxi ride is $4.00 for the first mile and $3.00 for each additional mile. Rewrite the expression 4 + 3(m - 1) for the cost of the taxi ride in dollars as a sum of two terms, where m represents the miles traveled. Show your work.

4 + 3(m - 1)
4 + 3m - 3

= 1 + 3m

or 3m + 1

Substitution(6.EE.5)

100

Evaluate 7z + 9 when z = 11. Show your work.

7(11) + 9
77 + 9
= 86

200

Evaluate 8x + x - 3 when x = 4. Show your work.

8(4) + 4 - 3
32 + 4 - 3
36 - 3
= 33

300

Which value in the set {10, 11, 12, 13} is a solution of the equation 19 = 8 + y? Show your work.

11

19 = 8 + y
19 = 8 + 11
19 = 19

400

Which value in the set {5, 6, 7, 8, 9} is a solution of the equation 34 – f = 28? Show your work.

6

34 - f = 28
34 - 6 = 28
28 = 28

500

Which value in the set {7, 8, 49, 52, 63} is a solution of the equation 7g = 56? Show your work.

8

7g = 56
7(8) = 56
56 = 56

Exponents

100

7³

343

200

2⁶

64

300

10⁸

100,000,000

400

7⁶

117,649

500

9⁴

6,561

Write Algebraic Expressions

100

Two more than m

m + 2

200

The sum of 5 and k

5 + k

300

Ten less than the square of b

b² - 10

400

The product of n and 10 increased by 3

10n + 3

500

Seven less than two times t

Seven less than two times t