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 + 13 =-8

x= -42

400

x/2 + 5 =10

x= 10

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

-45 = x + 4

x = -7

400

Solving Equations

14 = (3a + 6) + 2

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Mixed Equations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

2n+10 = 4

n = 2

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Basic Knowledge

100

How many operations does a one step equation have?

One

200

When solving a two step equation how many terms are usually on the same side?

Two

300

Which of these are a multi step equation?

4x+3=11

-4x+2-7

5(y+2/5)=-13

4m+7m

5(y+2/5)=-13

400

What do you do to the sign when adding negative numbers?

Add and keep the same sign

500

What rule is ALWAYS applied when solving equations?

What you do to one side, you do to the other side. 

General Trivia

100

What is the 4 Basic Operations?

Add, Subtract, Multiply and Divide

200

In order to solve an equation what must you do to each operation to isolate the variable term and later variable?

The inverse or opposite

300

What does the inverse of an operation mean?

The opposite of the given operation.

400

When solving something like 3(x -2) = 12

what step do you do first?

Distribute the 3 

500

A house painting company (A) charges $376 plus $12 per hour. Another painting company (B) charges $280 plus $15 per hour.

a. Which company charges more for 16 hours of painting? 

b. Which company charges more for 48 hours of painting?

a. Company B

b. Company A