Multi-step equations
Equations with variables on both sides

Math Trivia
Compound inequalities
Inequalities
100

Solve: 4x+7=2x+19

x = 6

100

Solve: 4(x+3)=2x+18

x =3 

100

What is the inverse of adding? 

Subtracting

100

Solve: 2 < 3x−4 ≤ 8

 2 < x ≤ 4

100

solve: 4x−5 > 7

x > 3

200

solve: 5(x−3)+12=3(x+7)−4

x = 10

200

solve: 3(2x+5)=4x+25

x = 5

200

What symbol is used to show that one number is greater than another in an inequality?

greater than 

>

200

solve: −5 ≤ 2x+1 < 9

−3 ≤ x < 4

200

solve: 2x+3 ≤ 5x−6

x ≥ 3

300

solve: 2(x+5)+3(x−4)=4(x+7)−9

x = 21

300

solve: 5x−(2x+7)=10+x

x = 8.5
300

In the equation 2x+3=72x + 3 = 72x+3=7, what is the term that does not contain the variable called?

Constant 

300

solve: 3x−7 > 2 and 3x−7 ≤ 14

3 < x ≤ 7

300

solve: 3(2x−4) < 4x+10

x < 11

400

 What are the types of solutions a multi-step equation can have? 

 1, no solution, or infinite solutions 

400

3(x+4)−2=2(x+7)

x = 4

400

True or False: An inequality can have more than one solution.

True

400

solve: −2 ≤ 2x−5 < 10

1.5 ≤ x < 7.5


400

Solve: 3(2x−5)+4x−7 ≥ 2(5x−6)+3

No Soultion

500

Solve: 3(x−2)+4(x+5)−2(2x−7)=5(x+1)+3(x−4)

x = 7

500

solve: 3/4x+5=2/4x+11

x = 24

500

What is the name of the process used to “undo” operations in order to isolate a variable in an equation?

inverse operations

500

Solve: 5−2x ≤ 9 or 3x+1 > 10


x ≥ −2 or x > 3

500

solve: 3(2x−5)−4 < 2x+9

x < 7