Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

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

-(-x + 2) = 6

x = 8

200

Solving Equations

-5(p + 4) = 6

p = -5.2

300

Solving Equations

2(n+5) = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 19/5

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

The Hard Ones

100

Write an equation for the following. (This equation must have the total on one side of the equal sign and the variable on the other)

I went to the store and paid 3 dollars per can of tuna. I spent a total of 21 dollars. 

3x=21

200

Write an equation for the following. (This equation must have the total on one side of the equal sign and the variable on the other)

I spent 2 dollars to get into the circus and 8 dollars per bag of Caramel Corn. I spent a total of 66 dollars

2 + 8x = 66

300

Write an equation for the following. (This equation must have the total on one side of the equal sign and the variable on the other)

Derek works as a car salesperson. He makes 350 dollars each week plus 100 dollars for each car he sells. Last week he made 4150 dollars. 

This time I also want you to solve for X 

350 + 100x = 4150

x= 38

400

What is 12% of 456?

54.72

500

How do I solve the following equation so that I know what x is?

4 +5x = 29

Subtract 4 from both sides

Divide 5 from both sides