Algebra Tiles
Simplifying Expressions 1
Combining Like
Terms
Simplifying Expressions 2
Distributive Property and Equivalent Expressions
100

 Write an equation for the given model:

5y + 3

100

-38 + (-47)

-85

100

Combine like terms

30 + 8 − 15 − 6x + 6x

23


100

-35 - 20

-55

100

Use the distributive property to rewrite the expression:

6(a + 5)

6a + 30

200

Write an expression for the given model:

9x + 3

3(3x + 1)

200

6 ∙ (-5) - 12 ÷ (3)

-34

200

Combine like terms

9x + 7 − 3x 

6x + 7

200

(-5)(3) + (-15 ÷ 5)

-18

200

Which expression is equivalent to the following?

s - 1/4 (2)

A.  s - 1/2 

B.  s - 2

C.  s - 1

D.  1/4 s -2

A. s - 1/2

300

Draw the following expression with algebra tiles.


2x2 + 3x + 2

300

-66 - (-34)

-32

300

Combine like terms

−12 + x + 4 + 22

x + 14

300

-6 ∙ 2 - (-15)

3

300

Use the distributive property to rewrite the expression:

3(t + 3)

3t + 9

400

Which expression is NOT equivalent to the given model:

A. x + x + 1 + 1 +1 + x2 + x2

B. x2 + x2 + 2x + 3

C. 2x2 + 2x + 3

D. 4x2 + 3

D. 4x2 + 3

400

(-6 - 2)2 + (7 - 4) ∙ (-4)

52

400

Combine like terms

3x − 15 + 4x + 11

7x - 4

400

24 ÷ 4 - 2 ∙ 7²

-92

400

Which expression is equivalent to the following?

x - 1/3 (3)

A.  x - 1/3 

B.  x - 2

C.  x - 1

D.  1/3 s - 3

C.  x - 1

500

Which expression is equivalent to the following model:




A. 8x ∙ 4 = 32x

B. 4(2x) = 8x

C. 4x ∙ 4x = 8x

D. 2 ∙ 8x = 16x

B. 4(2x) = 8x

500

-4 + (-3)3 ÷ 9 + 13

6

500

7(2y + 3) − 9

14y + 12

500

100 - (15 + 13 - 7(2) + 9(3) + 4)

55

500

Use the distributive property to rewrite the expression:

8(x + 4) + 10

8x + 42