Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

33 = x – 15

x= 48

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 -3=-8

x= -10

400

x/2-50=10

x= 120

500

x/3+16=-3

x= -57

Distributive Property Equations

100

Solving Equations

-2(x + 2) = 6

x = -5

200

Solving Equations

-5(p + 4) = 6

p = -5.2

or

p = -5  1/5

300

Solving Equations

2(n+5) = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 3.8

or m = 3   4/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

100

Solving Equations

3 + 4x = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

-45 = 7x + 4 

x = -7

400

Solving Equations

14 = 3a + 8

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Mrs. Wright's Choice

100

What's the inverse operations of division?

multiplication

200

3 = -2 - x

x=-5

300

14b=-56

b=-4

400

14 - 2x = 32

x=-9

500

Tina had x dollars. Her friend Jessica gave her $30 more dollars. Tina now has $542.  Write and solve an equation that represents how much money she started with.

x + 30 = 542

x = $512

Would also accept 542 = x+30