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 = 3(c + 4) - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = d + 2

d = 3

300

7(4 - t) = -2t - 82

t = 22

400

Daily Double:

6 - (x - 9) = -24

x = 39

500

-13(4 + 2a) = 4(a + 2)

a = -2

Inequalities

100

Solve. 6p - 18 -2p ≤ -2

p ≤ 4

200

Solve. -(6x + 5) < -14

x > 3/2 or 1.5

300

Solve. 3 - 5(a + 4) ≥ a + 7

a ≤ -4

400

Solve. -4 (5x - 2) ≥ 4x + 5

x ≥ 1/8 or .125

500

4/5(15x + 45) ≥ -6x

x ≥ -2

Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x ≥ -8

x ≥ -2

300

Daily Double:

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 > 24

m < -2

500

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

k = 4

Fractions

100

3/5x = 1/2

x = 5/6 or .8333

200

(x-1)/2 = (3x-4)/3

x = 5/3 or 1.6667

300

1/3x-5/3 = 3/4x - 5

x = 8

400

Daily Double: Solve for p!

Q = Ip/y

p = Qy/I

500

Daily Double --> Solve for a!

1/5d = 2/5a - 1

a = (d+5)/2