Equation practice
Free equation practice for kids: pick a skill and answer 10 questions, marked as you go, with a hint for every mistake.
🧒 Kids: pick a skill, type your answer and tap Check ✓! Do the same to both sides, and the equation stays balanced.
Ready-made practice rounds: 15 skills by grade
| Skill | What your child does | Grade |
|---|---|---|
| Balance pictures | Find how many blocks are in each bag on a level scale. | 6 |
| Inverse operations | What undoes + 7? Is x = 4 a solution? | 6 |
| Parts of an expression | Coefficients, constants and terms. | 6 |
| Evaluating expressions | Find 3x + 2 when x = 5. | 6 |
| Writing expressions | “5 less than n” is n − 5. | 6 |
| One-step equations | x + 9 = 15, 4x = 28, x ÷ 3 = 6. | 6 |
| Combining like terms | Simplify 3x + 2 + 5x − 7. | 6–7 |
| Distributive property | Multiply out 4(x − 3). | 6–7 |
| Two-step equations | 3x + 7 = 22, including negatives. | 7 |
| Fractions and decimals | x/4 = 3, (2/3)x = 8, 0.5x = 3.5. | 7 |
| Inequalities | Solve 2x ≤ 10 and −3x > 12. | 6–7 |
| Multi-step equations | Brackets and like terms: 2(x + 3) + 4 = 18. | 7–8 |
| Variables on both sides | 5x + 4 = 2x + 19. | 8 |
| Systems of equations | x + y = 10 and x − y = 2. | 8 |
| Word problems | Ages, money, perimeter and taxi fares. | 6–8 |
Each link opens the practice tool on that skill, so you can bookmark or share the one your child needs.
How to use the equation practice
- Pick a skill. If you are not sure, start with balance pictures and move down the table as each one gets easy.
- Answer each question. Type the value of x, or tap one of the choices. On a phone, a number pad with a minus key appears below.
- Read the hint when an answer is wrong. It shows each step: what to undo first, and what to do to both sides.
- Check the stars. 8 or more out of 10 means the skill is secure. The results list the questions to practice again.
How answers are marked
Answers are marked by value, so −4 and -4 both count. Decimal answers can be typed as 2.5 or 2.50.
Systems of equations have one box for x and one for y. Simplifying, writing expressions and inequalities use big buttons with choices instead of a box.
A sensible order for equation practice
Every equation rests on one idea: an equation is a balance, and whatever you do to one side you must do to the other. A child who pictures the balance finds every later step easier. This order follows the US Common Core and the NCERT books:
- The balance and inverse operations (grade 6): + undoes −, × undoes ÷.
- Expressions (grade 6): parts of an expression, evaluating, writing from words.
- One-step equations (grade 6): one inverse operation on both sides.
- Two-step equations and inequalities (grade 7): undo + or − first, then × or ÷. The equation solver shows every step.
- Multi-step equations, both sides and systems (grade 8).
When an equation skill won’t stick
- Doing something to one side only: go back to the balance scale. A one-sided move tips the scale.
- Undoing in the wrong order: in 3x + 7 = 22, undo the + 7 before the × 3. Undo the last thing that was done first, like taking off shoes before socks.
- Sign slips with negatives: −2x = 10 gives x = −5. Dividing by a negative changes the sign of the answer.
- Forgetting to flip an inequality: when you multiply or divide both sides by a negative number, the inequality sign turns round.
A 10-minute routine
- Minutes 1–2: say the inverse of five operations out loud: + 6, × 4, − 9, ÷ 2, + 11.
- Minutes 3–8: one round of 10 questions on the current skill.
- Minutes 9–10: check one answer by putting it back into the equation.
For parents and teachers in the classroom
- Share a skill: add ?skill=bal, inv, parts, eval, write, one, like, dist, two, frac, ineq, multi, both, sys or word to the address.
- Projector friendly: large equations, clear balance pictures and an on-screen number pad work well for a whole-class warm-up.
- Private by design: no account and nothing stored online.
More equation help
- Equation practice: 10 questions on any of 15 skills, marked as you go.
- Equation solver with steps: type any linear equation and see every step, with a check.
- Balance scale equations: solve puzzles by taking the same away from both sides.
- Worksheets: solving equations · make a one-step test · make a two-step test
Back to solving equations for kids · integers · order of operations · 6th grade math · 7th grade math · 8th grade math
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Questions parents ask
How can my child practice solving equations online for free?
Use the practice tool at the top of this page. Pick a skill, such as one-step or two-step equations, and answer 10 questions one at a time. Every answer is marked straight away, with a hint when it is wrong.
How do I type a negative answer?
Type a minus sign before the number, like −4. On a phone, the number pad has a minus key.
Which equation skill should my child start with?
Start with balance pictures and inverse operations, then one-step equations. Two-step equations come next, then brackets, like terms and variables on both sides.
What grade are these equation questions for?
Grades 6 to 8 (classes 6 to 8 in India). One-step equations, expressions and balance pictures suit grade 6. Two-step equations and inequalities suit grade 7. Variables on both sides and systems suit grade 8.
Can teachers use this equation practice in class?
Yes. Link to a skill with ?skill= at the end of the address, for example /equations/practice/?skill=two. Every child gets their own random questions, and nothing needs a login.
Do the questions repeat?
No. Every round makes new random questions, so the same skill can be practiced again and again.