Simple Equations Class 7 Worksheet — Free PDF Download with Answers

Equations are the first true taste of algebra most students get. One of the joys of teaching Class 7 is watching the moment when a child realises that the letter $x$ is not a mystery but a placeholder waiting to be filled. That moment almost always happens on paper. A student writes the equation, crosses out terms as they move them across, and physically sees the $x$ become a number. It is much harder to have this moment on a screen where the steps happen instantly and invisibly.

There is also the small matter of handwriting algebra. If a student types an equation, the computer lines it up beautifully. If a student writes one, they have to keep their letters on the same level, put the equals sign in the right place and remember to keep the balance between the two sides. These are skills that an exam demands and only paper practice builds.

Worksheets also give students the time to think. Apps push you forward with timers and next buttons. A printed worksheet sits still on the desk, patient, waiting for you to work it out. That patience lets a student experiment. Maybe they try one method, scribble it out, try another. The scribbled out work is the learning. You cannot scribble out a screen.

Another reason worksheets help with equations is the answer key. When a student solves $3x + 7 = 19$ and gets $x = 4$, they can immediately check and feel the satisfaction of being right. Or they can see that the answer is different and work back to find where they went wrong. This instant feedback without needing a teacher is rare and valuable.

And of course, paper practice is a break from screens. For young eyes and growing brains, that matters.

This worksheet covers every sub topic from the Class 7 Simple Equations chapter in CBSE, ICSE and IB.

Sub topics covered:

* What is an equation
* Setting up equations from word problems
* Solving by trial and error
* Solving by transposing terms
* Balance method
* Word problems involving age, numbers, money and measurements

Level breakdown:

Total 60 questions. Types include MCQ, fill in the blanks, solve and check, and detailed word problems. A complete answer key is provided.

Brush up on these before starting.

* Equation — A mathematical statement that two expressions are equal, containing at least one unknown. Example: $3x + 5 = 14$.
* Solution of an equation — The value of the variable that makes the equation true.
* Balance method — Whatever you do to one side, you must do to the other. If you add $3$ to the left, add $3$ to the right too.
* Transposing — Moving a term from one side to the other by changing its sign. If $3x + 5 = 14$, then $3x = 14 - 5$, so $3x = 9$ and $x = 3$.
* Golden rules
* Adding or subtracting the same number from both sides keeps the equation balanced.
* Multiplying or dividing both sides by the same non zero number keeps it balanced.
* Word problem translation — Identify the unknown, assign a variable, write the equation, solve, and check.

Quick tip: Always verify your answer by plugging it back into the original equation. It catches 90 percent of mistakes.

Level 1 — Easy

1. Solve: $x + 7 = 15$.
Solution: $x = 15 - 7 = 8$.

2. Solve: $5x = 35$.
Solution: $x = 35 \div 5 = 7$.

3. Find $x$ if $x - 4 = 10$.
Solution: $x = 10 + 4 = 14$.

Level 2 — Medium

1. Solve: $3x + 5 = 20$.
Solution: $3x = 20 - 5 = 15$. So $x = 5$.

2. Solve: $2x - 7 = x + 3$.
Solution: Move $x$ to the left: $2x - x = 3 + 7$, so $x = 10$.

3. The sum of three consecutive natural numbers is $45$. Find the numbers.
Solution: Let the numbers be $n, n+1, n+2$. Then $3n + 3 = 45$, so $n = 14$. Numbers are $14, 15, 16$.

Level 3 — Hard

1. Solve: $\dfrac{x}{2} + \dfrac{x}{3} = 5$.
Solution: Multiply by $6$: $3x + 2x = 30$, so $5x = 30$ and $x = 6$.

2. The age of the father is $4$ times the age of his son. $5$ years ago, the father was $7$ times as old. Find their present ages.
Solution: Let son be $x$ years old. Father is $4x$. Five years ago: $4x - 5 = 7(x - 5)$. Expand: $4x - 5 = 7x - 35$, so $30 = 3x$ and $x = 10$. Son is $10$, father is $40$.

3. Solve: $3(2x + 1) - 4(x - 2) = 15$.
Solution: Expand: $6x + 3 - 4x + 8 = 15$. Simplify: $2x + 11 = 15$, so $2x = 4$ and $x = 2$.

1. Print — Use A4 paper. Keep space on the right for your working.
2. Warm up — Solve five simple equations like $x + 2 = 7$ in your head.
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 — For every wrong answer, redo with full balance or transposing steps written out.
6. Try again — Next day, retry only the wrong questions.

Daily plan: 20 to 25 minutes per day for two weeks.

Weekly revision: On Sundays, solve five random questions from memory. This keeps the methods fresh.

1. Forgetting to change the sign when transposing — Moving $+5$ to the other side and still writing it as $+5$. It must become $-5$.

2. Dividing only one side — $3x = 12$ becomes $x = 12 \div 3$, not $x = 12$. You must divide both sides.

3. Mixing up the variable and the constant — In $2x + 5 = x + 9$, students sometimes move the wrong term across. Collect variables on the left, constants on the right.

4. Not verifying the answer — Substituting the answer back into the original equation is a free way to catch mistakes. Most students skip it.

5. Word problem confusion — Students set up the wrong equation because they misread. Always identify the unknown and assign a clear variable before writing anything.

6. Sign errors with negative coefficients — $-3x = 12$ gives $x = -4$, not $x = 4$. The negative sign matters.

CBSE (NCERT)
Simple Equations is Chapter 4 in NCERT Class 7 maths. Weightage is around 10 marks in the annual exam. Questions include solving one step and two step equations and setting up equations from simple word problems.

ICSE (Selina / ML Aggarwal)
ICSE calls the chapter Linear Equations in One Variable. Students solve more complex equations with brackets and fraction coefficients. Weightage is around 12 to 15 marks.

IB MYP
IB MYP students learn equations as part of algebra strand, with a heavy focus on modelling real world situations using equations. Problems often involve interpreting graphs or word contexts.

Grab your free Class 7 Simple Equations worksheet:

* Simple Equations CBSE Worksheet
* Linear Equations ICSE Worksheet
* Linear Equations IB Worksheet

Practise online:

* Simple Equations Online — CBSE
* Linear Equations Online — ICSE

* AI Maths Solver — Photograph any equation problem and get a step by step solution.
* Spark Coach — Guided AI tutor.
* Class 7 Maths Complete Guide
* All Worksheets Hub
* Class 7 Formulas

Week 1: Method mastery

* Day 1: Read the chapter and write out the balance and transposing methods.
* Day 2: Level 1 questions 1 to 10.
* Day 3: Level 1 questions 11 to 20.
* Day 4: Level 2 questions 1 to 10.
* Day 5: Level 2 questions 11 to 20.
* Day 6: Redo all wrong answers.
* Day 7: Rest.

Week 2: Word problem mastery

* Day 8: Level 3 questions 1 to 5 (focus on equation setup).
* Day 9: Level 3 questions 6 to 15.
* Day 10: Level 3 questions 16 to 20.
* Day 11: Redo wrong Level 3 answers.
* Day 12: Mixed quiz (15 questions, mix of levels).
* Day 13: Mock test (45 minutes).
* Day 14: Review and reflect.

* Class 7 Algebraic Expressions Worksheet
* Class 7 Integers Worksheet
* Class 7 Rational Numbers Worksheet
* Class 7 Exponents and Powers Worksheet
* Class 7 Maths Complete Guide