Expressions, Equations and Inequalities Review

Distributing

100

3(2x+8)

6x + 24

200

6(3x - 4)

18x - 24

300

-2(7x - 9)

-14x + 18

400

3(a - 5) = 12

a = 9

500

-2(x + 8) = 4

x = -10

Combining Like Terms

100

4x - 9 + 3x + 11

7x + 2

200

-5 + 12x - 7x + 11

6 + 5x

300

11x + 7 - 7x - 20

4x - 13

400

-2x + 8 + 4x - 3 + 5x

7x + 5

500

3x + 4x + 9 - 4x - 3

3x + 6

Two Step Equations

100

x/3 + 5 = 10

x = 15

200

5x - 18 = 7

x = 5

300

x/2 + 14 = 4

x = -20

400

6x - 4 = -22

x = -3

500

Lewis made 24 cookies. Rachel got 6 cookies and the remaining cookies were split between Donna and Mike evenly. How many cookies did Donna and Mike get?

9 cookies each

Inequalities

100

2x + 9 < 17

x < 4

200

x/2 + 1 ≥ 5

x ≥ 8

300

x/3 - 9 < 0

x < 27

400

5b + 8 > -12

b > -4

500

Tess had $25 to spend at the fair. The admission to the fair is $14 and the rides cost $2 each. Write an inequality that represents the scenario.

2x + 14 < 25