Algebraic Expressions Class 7 Worksheet — Free PDF Download with Answers

Algebraic expressions are where maths starts to look strange. A question no longer says ‘the number’. Instead it says $3x + 2y$ and expects you to understand what that means. For most Class 7 students, this is the first time letters and numbers sit side by side on the same line. Getting comfortable with that needs paper practice, not app practice.

A teacher I know makes her students copy out algebraic expressions by hand as a warm up. Just copying, nothing else. Week after week she sees the same result: students who copy by hand develop a natural sense of how an expression is built. They see which terms are like, which are unlike, where the minus signs live. Students who only tap and drag on apps miss all of this.

Worksheets teach the layout of algebra. In an exam, you write expressions on lines, combine them vertically, and show each step. This visual discipline matters. Markers can follow your reasoning when it is laid out neatly. Messy or out of order working costs marks even when the final answer is right.

Another reason paper wins is the mental rehearsal. When a student writes $5x + 3x = 8x$, the act of writing the $8x$ makes it feel real. A button press does not carry the same weight. Small as this sounds, it is why generations of students have learnt algebra on paper.

And finally, screen free time is a gift. Class 7 students juggle online classes, messaging apps and games. A quiet 20 minutes with a worksheet gives their eyes and minds a rest.

The worksheet covers all sub topics from the Class 7 chapter.

Topics included:

* What is an algebraic expression
* Terms, factors, coefficients
* Like and unlike terms
* Monomials, binomials, trinomials, polynomials
* Addition of algebraic expressions
* Subtraction of algebraic expressions
* Finding the value by substitution
* Simple applications

Level breakdown:

Total 60 questions. Question types include MCQ, fill in the blanks, match the columns, and numerical. A full answer key is provided.

Brush up on these ideas first.

* Variable — A letter that stands for a number, usually $x$, $y$, $a$ or $b$.
* Constant — A fixed number. In $3x + 5$, the constant is $5$.
* Term — A single part of an expression connected by addition or subtraction. In $3x + 5y - 2$, the terms are $3x$, $5y$ and $-2$.
* Coefficient — The numerical factor of a term. In $3x$, the coefficient is $3$.
* Like terms — Terms that have the same variable part. $3x$ and $5x$ are like terms. $3x$ and $3y$ are not.
* Monomial / binomial / trinomial — Expressions with one, two or three terms.
* Addition of expressions — Combine like terms. $3x + 5 + 4x - 2 = 7x + 3$.
* Subtraction of expressions — Subtract each term of the second expression. Watch the signs.
* Substitution — Replace the variable with a given value. In $2x + 3$ with $x = 4$: $2(4) + 3 = 11$.

Quick tip: Before adding or subtracting, underline like terms in one colour and unlike terms in another. This one habit stops most sign errors.

Level 1 — Easy

1. In $5x + 3$, what is the coefficient of $x$?
Solution: $5$.

2. Are $3a$ and $5a$ like terms?
Solution: Yes, both have the same variable $a$.

3. Identify the terms in $4x - 7 + 2y$.
Solution: The terms are $4x$, $-7$ and $2y$.

Level 2 — Medium

1. Add: $3x + 5y$ and $2x + 4y$.
Solution: Combine like terms. $3x + 2x = 5x$. $5y + 4y = 9y$. Answer: $5x + 9y$.

2. Subtract $2x - 3$ from $5x + 7$.
Solution: $(5x + 7) - (2x - 3) = 5x + 7 - 2x + 3 = 3x + 10$.

3. Find the value of $2x + 3y$ when $x = 4$ and $y = 5$.
Solution: $2(4) + 3(5) = 8 + 15 = 23$.

Level 3 — Hard

1. Simplify: $3(x + 2) - 2(x - 4)$.
Solution: $3x + 6 - 2x + 8 = x + 14$.

2. Find the value of $x^2 + 2x - 5$ when $x = 3$.
Solution: $9 + 6 - 5 = 10$.

3. If Amit has $(3x + 5)$ toffees and Ritu has $(2x - 3)$ toffees, how many do they have together? Also, if $x = 4$, find the total.
Solution: Total $= (3x + 5) + (2x - 3) = 5x + 2$. When $x = 4$: $5(4) + 2 = 22$ toffees.

1. Print — Use A4 paper. Leave plenty of space for each question.
2. Warm up — Write out five expressions and identify the terms in each.
3. Time yourself — 15 minutes for Level 1, 25 for Level 2, 35 for Level 3.
4. Check answers — Use the answer key.
5. Revise mistakes — Rewrite the full working for every wrong answer.
6. Try again — Retry wrong questions the next day.

Daily plan: 20 minutes a day for two weeks.

Weekly revision: On Sundays, write one expression involving two variables and simplify it from memory. This keeps your methods sharp.

1. Combining unlike terms — Writing $3x + 5y = 8xy$. Unlike terms cannot be combined.

2. Forgetting the sign when subtracting — $(5x + 3) - (2x + 1)$ becomes $5x + 3 - 2x + 1$ instead of the correct $5x + 3 - 2x - 1$.

3. Dropping negative signs — Students write $-3x + 5$ and then copy it as $3x + 5$ by accident.

4. Wrong substitution order — For $2x + 3$ when $x = 4$, students sometimes write $2 + 4 \times 3 = 14$ instead of the correct $2(4) + 3 = 11$.

5. Ignoring brackets — In $3(x + 2)$, students forget to multiply the $3$ into both terms, writing $3x + 2$ instead of $3x + 6$.

6. Confusing coefficient and exponent — In $3x^2$, the $3$ is the coefficient and the $2$ is the exponent. These are different things.

CBSE (NCERT)
Algebraic Expressions is Chapter 10 of NCERT Class 7 maths. Weightage is around 10 to 12 marks. Questions focus on terms, like terms, addition, subtraction and evaluation.

ICSE (Selina / ML Aggarwal)
ICSE treats algebraic expressions more formally and introduces basic multiplication of monomials at the end of Class 7. Weightage is around 12 to 15 marks. Students are expected to write neatly laid out solutions.

IB MYP
IB MYP introduces expressions through patterns and generalisation. Students describe a pattern in words, then as an expression, and finally verify it for several values.

Download your free Class 7 Algebraic Expressions worksheet:

* Algebraic Expressions CBSE Worksheet
* Algebraic Expressions ICSE Worksheet
* Algebraic Expressions IB Worksheet

Online practice:

* Algebraic Expressions Online — CBSE
* Algebraic Expressions Online — ICSE

* AI Maths Solver — Get step by step solutions for any algebra problem.
* Spark Coach — AI tutor for guided practice.
* Class 7 Maths Complete Guide
* All Worksheets Hub
* Class 7 Formulas

Week 1: Terms and like terms

* Day 1: Read the chapter and make a flash card of key terms.
* Day 2: Level 1 questions 1 to 10.
* Day 3: Level 1 questions 11 to 20.
* Day 4: Level 2 addition questions.
* Day 5: Level 2 subtraction and evaluation questions.
* Day 6: Redo wrong answers.
* Day 7: Rest.

Week 2: Applications

* Day 8: Level 3 questions 1 to 10.
* Day 9: Level 3 questions 11 to 20.
* Day 10: Redo wrong Level 3 answers.
* Day 11: Create your own five expressions and evaluate them.
* Day 12: Mixed quiz.
* Day 13: Mock test (45 minutes).
* Day 14: Review.

* Class 7 Simple Equations Worksheet
* Class 7 Exponents and Powers Worksheet
* Class 7 Integers Worksheet
* Class 7 Rational Numbers Worksheet
* Class 7 Maths Complete Guide