Solving Multi-Step Equations & Inequalities

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

-5x + 4 + 2x = 16

b = -4

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Inequalities

100

Solve. 6p - 18 -2p ≤ -2

p ≤ 4

200

Solve. 2(6x - 5) < 14

x < 2

300

Solve. 3 - 5(a + 4) ≥ -a + 7

a ≤ -4

400

Solve. -4 (5x - 2) ≥ 4x + 5

1/8 or .125

500

4/5(15x + 45) ≥ -6x

x ≥ -2

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

1 + 7m = 6(-7 – m)  

m = -43

500

7k - 8 + 2(k + 12) = 52

k = 4

Variables on both sides mixed

100

11 + 2p = P + 4

p = -7 

200

-7k -4k < 8 -2k -8k 

x > -8

300

7m - 7 -6m - 16 = 1 + 4m 

m = -8

400

2( -6m - 3) = 6( 5m - 1) 

m = 0 

500

-8 ( 1 + 4p) + 7p = -25 -8p 

p = 1