Review Algebraic Expressions

The Distributive Property

100

3(2x + 2)

6x + 6 

200

–2(a + 1)

-2a - 2

300

–4(5z + 2)

-20z - 8

400

3f(-3f + 9) 

-9f² + 27f

500

-2(-4y - 10) 

8y + 20

Simplifying Expressions

100

Combine like terms:

6 + 3 - 5m + 9m

4m + 9

200

Combine like terms:

8a - 3a + 15b + 9b 

5a + 24b 

300

Combine like terms:

4x - 3x + 12 + 19

x + 31

400

Combine like terms:

2c - 3d + 5c + 4d

7c + d 

500

Combine like terms:

12m - 19x - 3m + 19x

9m

Adding Expressions

100

Add the expressions ...

(5x + 4) + (9x + 5)

14x + 9

200

Add the expressions ...

(-x + 4) + (-2x - 5)

-3x - 1 

300

Add the expressions ...

(4x + 3) + (-2x + 7)

2x + 10

400

Add the expressions ...

(3x - 4) + (-2x - 9)

x - 13 

500

Add the expressions ...

(9x + 11) + (12x + 8)

21x + 19

Subtracting Expressions

100

Subtract the expressions ...

5x + 4 - 3x + 2

2x + 2

200

Subtract the expressions ...

 3x + 8 - 2x + 5

x + 3

300

Subtract the expressions ... 

(9x + 9) - (2x + 1)

7x + 8 

400

Subtract the expressions ...

(8x + 8) - (-3x + 4)

11x + 4

500

(-11x + 4) - (4x + 5)

-15x - 1

Factoring Expressions

100

Factor out the coefficient ...

3x - 6

3(x - 2)

200

Factor out the coefficient ...

7x - 49

7(x - 7)

300

Factor the expressions ...

2.5x-7.5

2.5(x-3)

400

Factor the expression using GCF

8x - 12

4(2x - 3)

500

Factor the expressions using the greatest common factor...

18x+24y

6(3x+4y)