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 or .125

500

4/5(15x + 45) ≥ -6x

x ≥ -2

Literal Equations

100

Solve for a

a + c = 3b

a = 3b - c

200

Solve for g

2g - 3k = 10

g = (10 + 3k)/2

300

Solve for b

ax - b/y = z

b = -y(z-ax)

or

b = -yz + axy

400

Solve for m

-6(m + p) = 2p

m = 8p/-6

or 

m = -(4/3)p

500

Solve for A

8Ap = g - r

A = (g-r)/8p

Mystery

100

What is the perimeter of a square with side lengths of 

x + 4

4x + 16

200

Find the perimeter of a triangle with the following side lengths:

(3y - 2), (4 - y), (5y + 7)

7y + 9

300

Which of the following are in the solution set for 

3(x-5) > 18

0, 4, 11, 16, 23 

16 and 23

400

Simplify by combining like terms

1/2(4x+6y)−(8-x+y)−3y

3x - y - 8

500

Evaluate the following expression given 

x = 4 and y = 3

3x(1 - y) + 2y

-18