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. -4(-4 + a) ≥ 56

a ≤ -10

400

Solve. -11x - 4 >-15

x < 1

500

-132 ≥ 12(x + 9)

x ≥ -20

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

Word Problems

100

WRITE AN EQUATION & SOLVE:You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Write an equation. Then solve.

4x + 5=25     x=5

200

Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?

x ≥ 16

300

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?

c ≥ 15

400

The sum of three consecutive integers is thirty-nine. Find the largest integer.

x

x+1

X+2

3x+3=39     x=13   The largest is 14

500

The sum of three consecutive odd numbers is 93. Find the numbers. Make a key, an equation, then solve!

x

x+2

x+4    3x+6=93     x= 29        29,31, 33