Simple equations are the moment algebra starts to do something: instead of just simplifying expressions, your child finds the unknown number that makes a statement true. The idea of “keeping the equation balanced” — whatever you do to one side, you do to the other — is the whole chapter in one sentence, but it takes practice before it feels natural, especially the two-step questions and turning a word problem into an equation.

This free printable worksheet has 12 questions from Bmathpro’s own question bank of 10,500+ validated maths questions — the same bank our enrolled students practise from. Every answer comes with a one-line explanation, so you can check your child’s method, not just the final answer.

Set aside 15–20 minutes, keep the answers hidden until the end, and let your child attempt every question — a wrong attempt tells you more than a skipped one.

What this worksheet covers

  • Recognising what makes a statement an equation
  • Solving one-step equations (add, subtract, multiply, divide)
  • Solving two-step equations, including negative answers
  • Forming an equation from a word problem
  • Checking a solution by putting it back into the equation

Maps to the CBSE Class 7 Simple Equations chapter (NCERT) and equivalent ICSE/State-board units.

Class 7 Simple Equations Worksheet — 12 Questions

Warm-up

1. Which of these is an equation?
A. x − 1  B. 2x + 3 = 7  C. 2x + 3  D. 5 > 2

2. Solve: x + 7 = 12. (Write your answer.)

3. Solve: 5x = 35. (Write your answer.)

4. “A number increased by 6 is 14.” Which equation fits?
A. 6x = 14  B. x/6 = 14  C. x + 6 = 14  D. x − 6 = 14

Building up

5. Solve: 2x + 3 = 11. (Write your answer.)

6. Solve: x/3 = 6. (Write your answer.)

7. Solve: x + 15 = 8. (Write your answer.)

8. After spending ₹35 on a snack, Imran had ₹90 left. If x is the money he started with, the situation is x − 35 = 90. How much did he start with?
A. ₹55  B. ₹115  C. ₹65  D. ₹125

9. Three more than twice a number is 17. Find the number. (Write your answer.)

Challenge

10. Solve: 6x − 4 = −22. (Write your answer.)

11. Solve for x: 3(x − 4) + 5 = 2x + 1. (Write your answer.)

12. Riya has some ₹5 coins and twice as many ₹2 coins. The total value is ₹81. How many ₹5 coins does she have?
A. 18  B. 9  C. 7  D. 12

Answer key with explanations

Show answers and explanations (parents — open this after your child finishes)
  1. B. 2x + 3 = 7 — an equation has an equals sign joining two expressions.
  2. 5 — subtract 7: x = 5.
  3. 7 — divide by 5: x = 7.
  4. C. x + 6 = 14 — “increased by 6” means add 6.
  5. 4 — 2x = 8, so x = 4.
  6. 18 — multiply both sides by 3: x = 18.
  7. −7 — subtract 15: x = 8 − 15 = −7.
  8. D. ₹125 — add 35: x = 125.
  9. 7 — 2x + 3 = 17, so x = 7.
  10. −3 — add 4: 6x = −18, so x = −3.
  11. 8 — 3x − 7 = 2x + 1, so x = 8.
  12. B. 9 — 5n + 2(2n) = 9n = 81, so n = 9.

How to use this worksheet at home

  • Keep it short and calm. 15–20 minutes beats an hour of pressure.
  • Ask them to check the answer. Putting the answer back into the equation lets mistakes get caught by the child, not by you.
  • Praise the method, not the marks. (We deliberately don’t put marks on our worksheets.)

FAQs

Is this worksheet free to print?
Yes — free to use and print at home, no sign-up needed.

Which syllabus does it follow?
Standard Class 7 Simple Equations chapter — CBSE (NCERT), ICSE and State boards.

My child can solve x + 7 = 12 but freezes on word problems. What helps?
Word problems need one extra step — turning the sentence into an equation first. Practise just that step: read the sentence together and write the equation before solving. A free demo class shows how we teach that translation.

Where can my child get more practice like this?
Enrolled students get Math Gym, our paid practice app with 10,500+ questions — see our courses page.

Also practise: first revise: Algebraic Expressions · Class 7 Integers · all Class 7 worksheets.

Did your child enjoy these questions?

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