Equivalent Expressions

Substitution

100

k = 4

18 - k²

2

200

m² ÷ (n +6)

m=9 and n=3

9

300

xy - y³

x = 6 and y = 2

4

400

(8g - 4h) ÷ h²

g= 6 and h = 3

1

500

c²2c ÷ d³ + 10

c= 8 and d= 4

26

Combining Like Terms

100

5x+2x+3

7x + 3

200

-1+2y+3x+5y

-1 + 7y + 3x

300

y + y + x + 3y

5y + x

400

2(4-x)+3x+4

x + 12

500

3(5x + 2) + 2(4 - x)  

13x + 14

Distributive Property

100

Write an equivalent expression using the distributive property.

2(3+2)

6 + 4

200

Write an Equivalent Expression

3(w+5)

3w + 15

300

Write and Equivalent Expression

2 ( 4r + 8 )

8r + 16

400

Write an Equivalent Expression

11 (5 + 8h)

55 + 88h

500

Write an Equivalent Expression

7 ( 3r - 8s )

21r - 56s

Problem Solving

100

True or False

4(x + 2) + 12= 4x + 20

Explain how you got your answer.

True

200

Which Expressions are equivalent to 6x - 3x + 6 Select all that Apply.

3x + 6           3x + 12         9x + 6

3(x + 12)       3(x + 6)       3(x + 2)

3x + 6 and 3(x + 2)

300

Which expressions are equivalent to 24x – 108? Select ALL answers that apply.

 6(4x – 108)           4(6x – 27)            12(2x – 9) 

24(x – 108)          2(12x – 108)          9(15x – 12)

4(6x - 27) and 12(2x - 9)

400

Ms. Rogers put a problem on the board and asked Isabella and Jason to simplify the problem. Isabella and Jason simplified the problem and got different answers.

4(x + 2)

Isabella's answer was 8x + 8. Jason's answer was 4x + 2. Who was correct?

Neither

the correct answer is 4x + 8

500

Which of the following is NOT 

equivalent to 24x + 12?

3(8x + 4)            2(12x + 10)

6(4x + 2)             12(2x + 1)

2(12x + 10)