ATI TEAS Math Solve Equations With One Variable

What is a term in an algebraic equation?

A number, variable, or number–variable product separated by + or − signs.

In the equation 3x+7=22, what are the terms?

3x, +7, and 22.

What operation is the inverse of addition?

Subtraction.

What operation is the inverse of multiplication?

Division.

Solve: x+9=15.

x=6

Solve: x−4=12.

x=16

Solve: 5x=35.

x=7

Solve: x/3=9.

x=27

What is the first step to isolate the variable in x+14=20?

Subtract 14 from both sides.

What is the first step to isolate the variable in 4x−3=9?

Add 3 to both sides.

Solve: 2x+5=17.

x=6

Solve: 9−x=2.

x=7

Solve: 7x−14=0.

x=2

Solve: x/5+2=6.

x=20

What does it mean to “apply inverse operations”?

Use the opposite operation to undo what is being done to the variable.

Solve: 3x+4=25.

x=7

Solve: 18=6+x.

x=12

Solve: 40=8x.

x=5

Solve: x/4−1=3.

x=16

What is the goal when solving a one‑variable equation?

Get the variable alone on one side of the equation.

Solve: x+18=41

x=23

Solve: x−12=−3

x=9

Solve: 7x=56

x=8

Solve: x/6=4

x=24

What is the inverse operation of subtraction?

Addition

What is the inverse operation of division?

Multiplication

Solve: 3x−9=0

x=3

Solve: 14=x+5

x=9

Solve: 4x+2=18

x=4

Solve: 20=5x−5

x=5

Solve: x/8+3=7