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= -32

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

3x+16=-2

x= -6

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

Equations Terms

100

The 3 in this equation is called the ________.

4x + 3 = 7

constant

200

The 5 in this equation is called the _______.

4 + 5x = 29

coefficient

300

The x in this equation is called the _______.

-45 = 7x + 4 

variable

400

In order to solve equations, we must use ________ operations.

inverse

500

The ________ just takes the place of the number we don't know yet.

variable

Random

100

What is the first step of solving a two-step equation?

Remove the constant

200

The opposite of division is...

multiplication

300

In order to remove the constant, you will always use one of which two operations?

Addition/subtraction

400

What is the goal in solving any equation?

To isolate the variable

500

To remove a coefficient, we must use either ________ or ________.

multiply or divide