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Two-Step Equations Word Problems - Printable Math Worksheets 9th - 12th Grade - Wayground

Two-Step Equations Word Problems

Karla Webb

Created by Karla Webb

10 questions

9th - 12th Grade

Math

Updated Oct 2026

Two-Step Equations Word Problems is a Grade 9–12 mathematics worksheet that helps students translate real-world situations into two-step equations and use those equations to find an unknown value. Across 10 multiple-choice questions, students work with fixed fees and per-unit or per-hour rates in contexts such as car repairs, carnival tickets, gym memberships, taxi rides, lessons, candy bars, and phone bills. One item also asks students to translate a verbal expression such as “two times a number plus five equals 15” into an equation. The worksheet reinforces the connection between an equation and the situation it represents. Students identify the constant fee, rate, variable, and total, then select or solve the corresponding equation to determine hours, tickets, months, miles, prices, or minutes. This free printable worksheet includes a complete answer key and is suitable for guided practice, independent review, or a quick assessment of equation modeling and two-step equation-solving skills.

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WaygroundWorksheets

Two-Step Equations Word Problems

Total questions: 10

Name
Class
Date
1.
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.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
2.
Scott works on cars. He charges $35 for each car plus $7 per hour.
The correct equation was 7x + 35 = 63.
So, how many hours did he work on Kylie's car if her bill was $63?
a)
x = 4
b)
x = 5
c)
x = 3
d)
x = 4.5
3.
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.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
4.
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. 
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?
a)
x = 30
b)
x = 25
c)
x = 35
d)
x = 31
5.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
6.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
7.
A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
8.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. 
The correct equation was 11x + 6 = 39.
So, how many hours was the lesson?
a)
x = 3
b)
x = 2
c)
x = 4
d)
x = 5
9.
Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 
a)
$12
b)
$6
c)
$2
d)
$3
10.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?

a)

30 minutes

b)

60 minutes

c)

250 minutes

d)

300 minutes

WaygroundAnswer Key

Two-Step Equations Word Problems

Total questions: 10

1.
a) 7x + 35 = 63
2.
a) x = 4
3.
a) .50x + 20 = 35
4.
a) x = 30
5.
b) 2x + 5=15
6.
a) 50 + 20m = 290
7.
a) 18 miles
8.
a) x = 3
9.
c) $2
10.
d)

300 minutes

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FAQs

What does the Two-Step Equations Word Problems worksheet cover?

This worksheet covers translating real-world situations into two-step equations and solving for an unknown. Its 10 multiple-choice questions ask students to identify equations such as 7x + 35 = 63, interpret fixed fees and per-unit rates, and determine values such as hours worked, tickets purchased, miles traveled, or minutes used.

How can I use this worksheet to teach two-step equations from word problems?

Use the worksheet after modeling a consistent process: identify the fixed amount, identify the rate and variable, write the equation, and then solve it using inverse operations. Have students explain why the $35 car-repair fee or $20 carnival admission is added to the variable cost before they select an answer, then discuss how the resulting value answers the original question.

What mistakes should I watch for on this two-step equations worksheet?

Students may confuse the fixed fee with the per-unit rate, reverse the coefficient and constant, or subtract a fixed charge when the situation shows it is added to the total. They may also choose a plausible number without solving the equation or fail to attach the correct unit, such as tickets, miles, hours, months, dollars, or minutes.

How do I assign and grade this Two-Step Equations Word Problems worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for the 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned through Wayground.

How can I differentiate this worksheet for my students?

For the multiple-choice word problems on this worksheet, use Advanced Settings to adjust font spacing or choose a larger font size so equations, dollar amounts, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support students’ access to the equation-modeling tasks.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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