Class 7 is where letters join the numbers. Your child now works with expressions like 3x + 5, learns that x is a variable and 5 is a constant, and starts combining “like terms” and substituting values. The single biggest slip at this stage is with signs — especially when a subtraction sits in front of a bracket, so (5x + 2) − (2x − 3) trips up almost everyone the first few times. Short, graded practice fixes this far faster than re-reading the textbook.

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

• Terms, variables and constants — reading an expression
• Like and unlike terms
• Adding and subtracting expressions, watching the signs on brackets
• Finding the value of an expression by substituting a number
• Expressions in real situations — fares, costs and simple formulas

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

Class 7 Algebraic Expressions Worksheet — 12 Questions

Warm-up

1. In the expression 5x + 3, which part is the variable?
A. 5  B. x  C. +  D. 3

2. Which pair are like terms?
A. 4 and 4x  B. 2x and 2x²  C. 3x and 5x  D. 3x and 5y

3. Find the value of 3x when x = 4. (Write your answer.)

4. How many terms are in the expression 3a + 5b − 2? (Write your answer.)

Building up

5. Add: (2x + 3) + (4x + 1).
A. 8x + 4  B. 6x + 4  C. 6x − 4  D. 6x + 3

6. Simplify 9y − 4y + y. Give the coefficient of y. (Write your answer.)

7. Subtract: (6m − 4) − (2m − 9).
A. 8m + 5  B. 4m − 13  C. 4m + 5  D. 4m − 5

8. Find the value of 4a + 3 when a = 2. (Write your answer.)

9. A taxi charges a fixed ₹40 plus ₹12 for each kilometre, so the fare is 40 + 12k. Find the fare in rupees for a 9 km trip. (Write your answer.)

Challenge

10. Simplify 3(2x − 4) − 2(x − 5).
A. 4x + 2  B. 8x − 22  C. 4x − 22  D. 4x − 2

11. Find the value of 2a² − 3b when a = 3 and b = 4. (Write your answer.)

12. Spot the mistake: (5x + 2) − (2x − 3) = 5x + 2 − 2x − 3 = 3x − 1.
A. The working is correct
B. The −3 should become +3 when the bracket is removed, giving 3x + 5
C. 5x − 2x should be 7x
D. The 2 should become −2, giving 3x − 5

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Answer key with explanations

Show answers and explanations (parents — open this after your child finishes)

1. B. x — a variable is a letter standing for a number (5 and 3 are constants).
2. C. 3x and 5x — like terms have the same variable and power.
3. 12 — 3 × 4 = 12.
4. 3 — the terms 3a, 5b and −2 make three terms.
5. B. 6x + 4 — 2x + 4x = 6x and 3 + 1 = 4.
6. 6 — 9 − 4 + 1 = 6, so 6y.
7. C. 4m + 5 — 6m − 2m = 4m and −4 − (−9) = +5.
8. 11 — 4 × 2 + 3 = 11.
9. 148 — 40 + 12 × 9 = 148.
10. D. 4x − 2 — 6x − 12 − 2x + 10 = 4x − 2.
11. 6 — 2 × 9 = 18 and 3 × 4 = 12, so 18 − 12 = 6.
12. B — subtracting (2x − 3) changes both signs: 5x + 2 − 2x + 3 = 3x + 5.

How to use this worksheet at home

• Keep it short and calm. 15–20 minutes beats an hour of pressure.
• Watch the bracket signs together. Ask what happens to every sign inside a bracket that follows a minus.
• 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 Algebraic Expressions chapter — CBSE (NCERT), ICSE and State boards.

My child understands like terms but keeps getting subtraction questions wrong. Why?
Almost always the sign in front of a bracket — subtracting a bracket flips every sign inside it. Talking through one or two questions slowly usually fixes it. A free demo class can help.

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: next chapter: Simple Equations · Class 7 Integers · all Class 7 worksheets.

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