What arithmetic is included?

Positive whole numbers and simple fractions appear in two-step equations. Counts have whole-number solutions; lengths and volumes can have half-unit solutions.

What does the answer key show?

By default, each key defines the unknown, explains the model, shows both inverse steps and checks the result. It also explains the units and whether the value fits the situation. Choose Answers only for final answers without the worked steps.

Can students use another equation or method?

Yes. Review whether their equation represents the same quantities, their steps are valid and their answer includes units. The key shows one method.

7th grade writing equations from quantities

7th grade writing equations from quantities worksheets

Students define an unknown, write a two-step equation and solve six quantity problems. Contexts include ticket and notebook costs, equal ribbon pieces and equal jug volumes. Whole numbers and simple fractions appear.

Free printable PDF worksheet, aligned to Common Core 7.EE.B.4.a.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Define the given variable with units. Write an equation, solve it and check. Explain what your answer means.

Notebooks cost $4.00 each. Shipping the order costs $5.00. The total is $21.00. How many notebooks were ordered? Let x count notebooks: a positive whole number. Use x for the unknown.
Answer: Let x count notebooks: a positive whole number. 4 × x + 5 = 21 ; 4 notebooks. A positive whole number of notebooks.
Tickets cost $3.00 each. One booking fee is $2.00. The total is $8.00. How many tickets were bought? Let x count tickets: a positive whole number. Use x for the unknown.
Answer: Let x count tickets: a positive whole number. 3 × x + 2 = 8 ; 2 tickets. A positive whole number of tickets.
A tank holds 34 liters of juice. After filling 4 jugs equally, 2 liters remain. How much is in each jug? Let x be liters per jug (positive). Use x for the unknown.
Answer: Let x be liters per jug (positive). 4 × x + 2 = 34 ; 8 L. A positive volume in liters per jug.

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on a 7th grade sheet

Writing equations from quantities. Define the given variable with units. Write an equation, solve it and check. Explain what your answer means. 6 problems per page.

Every version prints on US Letter or A4, with its answer key after the problems.

How to teach this

Ask what the variable measures before writing the equation. Have your child identify the repeated amount, the fixed amount and the total. Finish by substituting and checking whether the answer fits the context.

Watch for: The fixed fee or leftover is added once, after multiplying. A count must be a positive whole number; a length or volume may be fractional.

Common questions about 7th grade writing equations from quantities

What arithmetic is included?: Positive whole numbers and simple fractions appear in two-step equations. Counts have whole-number solutions; lengths and volumes can have half-unit solutions.
What does the answer key show?: By default, each key defines the unknown, explains the model, shows both inverse steps and checks the result. It also explains the units and whether the value fits the situation. Choose Answers only for final answers without the worked steps.
Can students use another equation or method?: Yes. Review whether their equation represents the same quantities, their steps are valid and their answer includes units. The key shows one method.

Related worksheets

Ready to print one?

Need a fresh set of problems? Print another copy. The difficulty you picked above stays.

Aligned to Common Core 7.EE.B.4.a. Reviewed by the One more sheet team. Content version 241, updated October 2026.

Spot a mistake on this sheet? Tell us. · About these worksheets