Solving Equations

One-Step Equations

1

4 = -8 + x

x= 12

2

x + 12 = 0

x= -12

3

3 = -2 + x

x= 5

4

5x = -80

x= -16

5

-16 = x+2

x= -18

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

x/2 + 13 =-8

x= -42

4

x/2 + 5 =10

x= 10

5

4/5x - 6 = -38

x= -40

Multi-Step Equations

1

-72 = x - 34

x = -38

2

4x + 3 = 7

x = 1

3

4x + 5x - 2 = 34

x = 4

4

14 = (3a + 6) + 2

a=2

5

-8 = 7(5k - 8) + 13

k = 1

Mixed Equations

1

x - 2 = 6

x = 8

2

-5p + 1 = 6

p = -1

3

2n+10 = 4

n = 2

4

5(m-3) = 4

m = 19/5

5

3(𝑥 − 9) = −3

x = 8

Basic Knowledge

1

This is how many operations are in a one step equation.

One

2

These two terms are able to be added together.

Like Terms: example __________

3

Which of these is an equation that has to be simplified before being solved

4x+3=11

-4x+2-7

5(y+2/5)=-13

4m+7m=12

5(y+2/5)=-13

4

This tells us the order in which to solve equations

SADMEP which is ______

5

This rule is ALWAYS applied when solving equations.

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

General Trivia

1

These are the 4 Basic Operations?

Add, Subtract, Multiply and Divide

2

The opposite of addition.

Subtraction

3

What you must do to the operations in order to solve an equation.

The inverse or opposite of the operation.

4

Simplify the expression: 2(7x + 11)

14x + 22

5

When solving something like 8=4(x-7), what do you do first?

Distribute