Pre-Algebra Review

Distributive Property of Variables

100

Simplify: 3(x+4)

3x+12

200

Simplify: 2(3x−5)

6x−10

300

Simplify: -2(4x−6)+3x

−8x+12

400

Use distributive property: 5(x−2)+3(2x+1)

5x−10+6x+3 = 11x−7

500

Simplify: −3(2x−5)+4(3x+1)−x

−6x+15+12x−2+5−x = 5x+18

Simplifying Variable Expressions

100

Simplify: 5x+3x

8x

200

Simplify: 4y−2y+7

2y + 7 

300

Simplify: 7a−2a+3−a

4a + 3

400

Simplify: 2(3x−4) + 5(x+6)

6x−8+5x+30 = 11x+22

500

3(2a−4)−2(3a−1)+5

6a−12−6a+2+5 = −5

Two-step equations

100

5x + 4 = 14

x = 2

200

3x−5=16

x = 7

300

x/4 +6=11

x = 20 

400

5x+7=2x+22

x = 5

500

(2x -3)/5 = 7

x = 19

Solving variable expressions - multiplying and dividing

100

5c = -15

c = -3

200

6 = u/4

u = 24

300

54 = 9x

x = 6

400

y/-10 = 7

y = -70

500

12x = 156

x = 13

Solving variable expressions - adding & subtracting

100

x + 8 = 19 

x = 11

200

-7 = y + 13

-20

300

n - 4 = -11 

n = -7

400

26 = p - 61

p = 87

500

u - 61 = -71

u = -10