Solving Multi-Step Equations & Inequalities

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

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 ≥ x 

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

-6(m + 1) + 18 = 24

m = -2

500

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

k = 4

Formulas

100

SOLVE FOR c. 

r = c + m

r - m = c

or 

c = r - m

200

SOLVE FOR h.

V = 1/3bh

3V/b = h

or h = 3v/b

300

SOLVE FOR c.

P = ab/c

c = ab/P

or 

ab/P = c

400

SOLVE FOR y. 

3x + 4y = 20

y = 20 - 3x / 4

or 

y = 5 - 3/4x

500

5x - 6y = -12

y = -12 - 5x / -6

or 

y = 12 + 5x / 6 or

y = 2 + 5/6x