Solve It!
Equation Detective
Word Problems
Ind & Dep Variables
Two-Variable Equations
100

x + 7 = 15

x = 8

100

Write an equation: “Five more than a number is 12.”

x+5=12

100

Mia has 3 more than twice the apples as Leo. Mia has 11 apples. How many does Leo have?

2x+3=11, so x=4x = 4x=4

100

Which is the independent variable: hours studied or test score?

Hours studied

100

You earn $10/hour. Write an equation for total pay (P) after h hours.

p = 10h

200

3x = 18

x = 6

200

Write an equation: "Twice a number is 18."

2x=18

200

A number minus 5 equals 8. What is the number?

x=13

200

The cost of apples depends on how many pounds you buy. Which is the dependent variable?

cost

200

A taxi charges $3 plus $2 per mile. Write a total cost (C) equation.

c = 2m +3

300

x - 4 = 9

x = 13

300

Write an equation: "A number divided by 3 equals 7."

x/3 = 7

300

Dan paid $24 for 6 tokens. How much does each cost?

x=4

300

You drive for more hours and travel more miles. Which is the independent variable?

hours driven

300

You read 20 pages each night. Write a total pages (p) equation after d days.

p = 20d

400

x/5 = 6

x=30

400

Write an equation: "Nine less than a number is 15."

x-9=15

400

Three times a number is 42. What is the number?

x=14

400
You earn $12 per hour. What is the dependent variable?

amount of earnings

400

Rent a bike for $5/hour. Write a cost (c) equation for h hours.

c = 5h

500

4x + 7 =27

x = 5

500

Write an equation: "Three times a number minus 4 equals 11."

3x-4 = 11

500

A number divided by 5 and increased by 2 is 7. What is the number?

5/x+2=7, so x=25

500

The total amount of water used depends on minutes spent showering. What is the independent variable?

Minutes in shower

500

A tank is filled at 6 gallons/minute. Write an equation for gallons (g) after t minutes.

g = 6t

M
e
n
u