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

4 + m = 12

5(y+2/5)=-13

400

What is the first step to follow when solving multi-step equations?

1. Get rid of multiplication/division first

2. Get rid of addition and subtraction first

3. If you see parentheses, use the distributive property first

#3: Use the Distributive Property if parentheses are present. 

If parentheses aren't present, get rid of addition and subtraction.

500

What you do to one side...

Golden Rule of Algebra or what you do to one side, you HAVE to do to the other side. 

General Trivia

100

What is the 4 Basic Operations?

Add, Subtract, Multiply and Divide

200

How do you get rid of a fractional coefficient?

Multiply by the reciprocal.

300

What does inverse mean?

Opposite

400

What operation do you use when you combine like terms?

Addition

500

What are like terms?

Terms that share a variable, or constants.