About Simple Equations — Class 6 ICSE

Learn to form and solve linear equations in one variable using transposition and balancing methods. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 13). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 20-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Simple Equations

• What is an Equation?
• LHS, RHS and Solutions
• Rule 1 — Adding & Subtracting Both Sides
• Rule 2 — Multiplying & Dividing Both Sides
• Rule of Transposition
• Solving Multi-Step Equations
• Word Problems with Simple Equations

Interactive lesson · about 20 minutes · checkpoint question after every unit

Simple Equations — solved examples for Class 6 ICSE

Practice questions on Simple Equations

1. Q1.easy

   Solve: $x + 7 = 2$

   1. A)9
   2. B)5
   3. C)−5
   4. D)−9
   Show answer

   Answer: −5

   Hint: Subtract 7 from both sides.

2. Q2.easy

   Solve: $x - 6 = -3$

   1. A)3
   2. B)−3
   3. C)−9
   4. D)9
   Show answer

   Answer: 3

   Hint: Add 6 to both sides.

3. Q3.easy

   Solve: $y + 2 = -6$

   1. A)−8
   2. B)−4
   3. C)4
   4. D)8
   Show answer

   Answer: −8

   Hint: Subtract 2 from both sides.

4. Q4.medium

   Solve: $-6 + 3x = -5$

   1. A)$\dfrac{1}{3}$
   2. B)$-\dfrac{1}{3}$
   3. C)$\dfrac{11}{3}$
   4. D)$-\dfrac{11}{3}$
   Show answer

   Answer: $\dfrac{1}{3}$

   Hint: Add 6 to both sides, then divide by 3.

5. Q5.medium

   Solve: $2x + 12 = 3 - x$

   1. A)−3
   2. B)3
   3. C)5
   4. D)−5
   Show answer

   Answer: −3

   Hint: Move all x terms to one side and constants to the other.

6. Q6.medium

   Solve: $\dfrac{x}{5} + 5 = 2$

   1. A)−15
   2. B)15
   3. C)−35
   4. D)35
   Show answer

   Answer: −15

   Hint: Subtract 5 from both sides, then multiply by 5.

7. Q7.hard

   Solve: $\dfrac{x - 1}{3} = \dfrac{x + 2}{2}$

   1. A)−8
   2. B)8
   3. C)−4
   4. D)4
   Show answer

   Answer: −8

   Hint: Cross-multiply: $2(x-1) = 3(x+2)$.

8. Q8.hard

   If $4x + 3 = 15$, then the value of $2x - 3$ is:

   1. A)3
   2. B)6
   3. C)9
   4. D)12
   Show answer

   Answer: 3

   Hint: First find $x$ from $4x + 3 = 15$, then substitute into $2x - 3$.

9. Q9.hard

   If $\dfrac{x}{2} + 3 = 5 - x$, then $x$ equals:

   1. A)$\dfrac{4}{3}$
   2. B)$\dfrac{3}{4}$
   3. C)$\dfrac{2}{3}$
   4. D)$\dfrac{3}{2}$
   Show answer

   Answer: $\dfrac{4}{3}$

   Hint: Multiply all terms by 2 to clear the fraction.

These are 9 of the 60 questions available for Simple Equations. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.