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

x/3 - 6 = -3

x= 9

Multi-Step Equations

1

Solving Equations

4x + 3 = 7

x = 1

2

Solving Equations

4 + 5x = 29

x = 5

3

Solving Equations

-45 = x + 4

x = -7

4

Solving Equations

14 = (3a + 6) + 2

a=2

5

Solving Equations

-21 = 7(5k - 8)

k = 1

Mixed Equations

1

Solving Equations

x - 2 = 6

x = 8

2

Solving Equations

-5p + 1 = 6

p = -1

3

Solving Equations

2n+10 = 4

n = 2

4

Solving Equations

5(m-3) = 4

m = 19/5

5

Solving Equations

3(𝑥 − 9) = −3

x = 8

Basic Knowledge

1

How many operations does a one step equation have?

One

2

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

Two

3

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

4

Which of the math properties is used the most with equations?

Communitive Property

Associative Property

Identity Property

Communitive Property

5

What 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

What is the 4 Basic Operations?

Add, Subtract, Multiply and Divide

2

In order to solve an equation what must you do to the operation?

The inverse or opposite

3

Name the 2 types of equations we have covered in class.

One-step with rational coefficients and two-step

4

When solving an equation what procedure do you do in reverse?

Order of Operations or PEMDAS

5

When solving something like 8.88=4.44(x-7), what do you do first?

divide by 4.44 or distribute