Worksheets · Algebra 1

Algebra 1 two-step equation word problems worksheet

Most two-step stories have a fixed part and a part that repeats: a joining fee and a monthly charge, money already saved and money saved each week. The fixed part is the constant, the repeating part is the rate times x.

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Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Two-Step Equation Word Problems

Date Period

Write an equation and solve it.

  1. 2 times a number, decreased by 5, is 19. What is the number?
  2. Kai has $28 and saves $25 each week. Write an equation for when he has $203, then solve it.
  3. A plumber charges $40 to come out plus $80 an hour. The bill is $200. How many hours did the job take?
  4. A gym charges $32 to join plus $3 a month. Write an equation for a total of $50, then solve it.
  5. A rectangle has a perimeter of 26 feet and a length of 10 feet. What is its width?
  6. A gym charges $28 to join plus $16 a month. Write an equation for a total of $188, then solve it.
  7. A candle 16 cm tall burns down 2 cm an hour. After how many hours will it be 10 cm tall?
  8. A gym charges $23 to join plus $11 a month. Write an equation for a total of $67, then solve it.
  9. Zara has $30 and saves $10 a week. After how many weeks will Zara have $60?
  10. A gym charges $39 to join plus $22 a month. Write an equation for a total of $127, then solve it.
  11. Concert tickets cost $11 each, plus a $7 booking fee on the whole order. An order came to $40. How many tickets were bought?
  12. Kai has $58 and saves $24 each week. Write an equation for when he has $274, then solve it.
  13. Concert tickets cost $15 each, plus a $7 booking fee on the whole order. An order came to $37. How many tickets were bought?
  14. A gym charges $53 to join plus $9 a month. Write an equation for a total of $152, then solve it.
  15. A plumber charges $100 to come out plus $100 an hour. The bill is $200. How many hours did the job take?
  16. Kai has $58 and saves $5 each week. Write an equation for when he has $118, then solve it.
  17. Jordan has $10 and saves $20 a week. After how many weeks will Jordan have $90?
  18. Kai has $33 and saves $14 each week. Write an equation for when he has $61, then solve it.
  19. A rectangle has a perimeter of 48 feet and a length of 18 feet. What is its width?
  20. A gym charges $21 to join plus $23 a month. Write an equation for a total of $136, then solve it.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Two-Step Equation Word ProblemsAnswer keyVersion 1

Date Period

Write an equation and solve it.

  1. 2 times a number, decreased by 5, is 19. What is the number?12
  2. Kai has $28 and saves $25 each week. Write an equation for when he has $203, then solve it.28+25w=203, w=7
  3. A plumber charges $40 to come out plus $80 an hour. The bill is $200. How many hours did the job take?2
  4. A gym charges $32 to join plus $3 a month. Write an equation for a total of $50, then solve it.32+3m=50, m=6
  5. A rectangle has a perimeter of 26 feet and a length of 10 feet. What is its width?3
  6. A gym charges $28 to join plus $16 a month. Write an equation for a total of $188, then solve it.28+16m=188, m=10
  7. A candle 16 cm tall burns down 2 cm an hour. After how many hours will it be 10 cm tall?3
  8. A gym charges $23 to join plus $11 a month. Write an equation for a total of $67, then solve it.23+11m=67, m=4
  9. Zara has $30 and saves $10 a week. After how many weeks will Zara have $60?3
  10. A gym charges $39 to join plus $22 a month. Write an equation for a total of $127, then solve it.39+22m=127, m=4
  11. Concert tickets cost $11 each, plus a $7 booking fee on the whole order. An order came to $40. How many tickets were bought?3
  12. Kai has $58 and saves $24 each week. Write an equation for when he has $274, then solve it.58+24w=274, w=9
  13. Concert tickets cost $15 each, plus a $7 booking fee on the whole order. An order came to $37. How many tickets were bought?2
  14. A gym charges $53 to join plus $9 a month. Write an equation for a total of $152, then solve it.53+9m=152, m=11
  15. A plumber charges $100 to come out plus $100 an hour. The bill is $200. How many hours did the job take?1
  16. Kai has $58 and saves $5 each week. Write an equation for when he has $118, then solve it.58+5w=118, w=12
  17. Jordan has $10 and saves $20 a week. After how many weeks will Jordan have $90?4
  18. Kai has $33 and saves $14 each week. Write an equation for when he has $61, then solve it.33+14w=61, w=2
  19. A rectangle has a perimeter of 48 feet and a length of 18 feet. What is its width?6
  20. A gym charges $21 to join plus $23 a month. Write an equation for a total of $136, then solve it.21+23m=136, m=5

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

$40 to join, $25 a month, $190 paid

  1. 40 + 25x = 190.
  2. Take 40 from both sides: 25x = 150.
  3. Divide by 25.

The answer is 6.

Where students go wrong

Dividing the whole total by the rate first. The joining fee is paid once, so it comes off before anything is divided.

Also called two step equation word problems, two-step word problems or writing two-step equations.

What you can put on this worksheet

Two-step word problems
A plumber charges $70 to come out plus $100 an hour. The bill is $170. How many hours did the job take? → 1
Write the equation, then solve
Kai has $36 and saves $19 each week. Write an equation for when he has $74, then solve it. → 36+19w=74, w=2

Questions about these worksheets

Yes. Every two-step equation word problems sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the two-step equation word problems questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: two-step word problems and write the equation, then solve. Tick as many as you want and set how many of each, or let it spread them evenly.

Dividing the whole total by the rate first. The joining fee is paid once, so it comes off before anything is divided.