Algebraic Expressions Review Course 2

The Distributive Property

100

Simplify

3(–2x + 2)

-6x + 6 

200

Simplify

-15(-3+4x)

45 - 60x

300

Simplify

–4(–5x + 9)

20x-36

400

Simplify

2/5(10x-5)

4x-2

500

Simplify...

-14(2x+3)

-28x - 42

Simplifying Algebraic Expressions

100

Simplify ...

4x - 3x + 2x + 12 - 19

3x - 7 

200

Simplify...

2c - 3d - 5c + 4d + 8

-3c + d + 8 

300

Simplify...

12m - 19x - 3m + 19x + 12 - 18

9m - 6 

400

Simplify

3(2n +n ) - 5m + 3(4 + 3m)

4m+9n+12

500

Simplify

-8a - 3(b -5b) + 9 + 6

-8a +12b +15 

Adding Expressions

100

Add these expressions.

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

14x + 1 

200

Add these expressions.

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

-3x - 1 

300

Add these expressions.

(x - 1) +(-2x + 7)

-x + 6 

400

Add these expressions.

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

x - 13 

500

Add these expressions.

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

19 - 3x  or  -3x + 19 

SubtractingExpressions

100

Subtract these expressions.

(-5x + 4) - (-3x - 2)

-2x + 6 

200

Subtract these expressions.

(11x - 3) - (-4x + 12)

15x - 15 

300

Subtract these expressions.

(x - 6) - (13x + 12)

-12x - 18 

400

Subtract these expressions.

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

-11x - 8 

500

Subtract these expressions.

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

-4 + 2x  or  2x - 4 

Factoring

100

Factor

10x + 130

10(x + 13)

200

Factor

-55 - 11x

-11 (x + 5)

300

Factor

1.5x - 3.5

0.5(3x - 7)

400

Factor

2x - 10 - 20

2(x - 15)

500

Factor

-42x + 24

-6(-1 - 5x - 3 - 2x)