One Variable Two Step Equation Word Problems

One Variable Two Step Equation Word Problems

by Bryan Foster

Multiple Choice

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Multiple Choice

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6

• 331=13x

• 331=6x+7

• 331-7=6x

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Multiple Choice

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Multiple Choice

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

• x/2 + 16= 36
• 36 + 16 = x
• x/2 - 16 = 36
• x/2 = 36 + 16

Multiple Choice

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

-4x+1=21

• x=120
• x=5
• x=30
• x=-5

Multiple Choice

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Multiple Choice

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472
• 9x=472
• 4+9x=472
• 4+x=472

Multiple Choice

WRITE AN EQUATION
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?

• 24.28/x=2
• 2x=24.28
• x/2=24.28
• 24.28/2=x

Multiple Choice

Write the equation for the model.

• 10=2-x
• -10=-x+2
• -10=x-2
• -10=x+2

Multiple Choice

Write the equation for the model.

• -3x=18
• 3=-18
• 3x=18
• 3x=-18

Multiple Choice

Solve the equation.

• x=8
• x=-8
• x=-10
• x=-12

Multiple Choice

Solve the equation.

• x=-5
• x=-17
• x=5
• x=17