How many practice questions are available for Simple Equations?

SparkEd Math offers 60+ practice questions for Simple Equations across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Simple Equations content free on SparkEd Math?

Yes! All Simple Equations content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Simple Equations differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Simple Equations problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Simple Equations content aligned with the CBSE syllabus?

Yes, all Simple Equations questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Simple Equations — Class 7 CBSE (2025-26)

About Simple Equations — Class 7 CBSE

Set up and solve simple linear equations in one variable. This topic is part of the CBSE Class 7 mathematics syllabus (chapter: Chapter 15). 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 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Simple Equations

Introduction to Simple Equations
Solving Equations: Transposition Rule (Addition & Subtraction)
Solving Equations: Transposition Rule (Multiplication & Division)
Forming Equations from Word Problems & Multi-Step Equations
Summary, Connections, and Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Simple Equations — solved examples for Class 7 CBSE

Example 1easy

Which of the following expressions is an equation?

A)3x + 5
B)2y - 7 < 10
C)4z = 12
D)x² + 2x + 1

Step-by-step solution

An equation is a mathematical statement that shows two expressions are equal, indicated by an '=' sign.
Option A is an algebraic expression.
Option B is an inequality because it uses '<'.
Option D is an algebraic expression.
Option C, 4z = 12, contains an equality sign and equates two expressions, hence it is an equation.

Answer: 4z = 12

Example 2medium

The sum of three consecutive integers is 66. What is the smallest of these integers?

A)21
B)22
C)23
D)24

Step-by-step solution

Let the smallest integer be 'x'.
Then the next two consecutive integers are 'x + 1' and 'x + 2'.
According to the problem, their sum is 66: x + (x + 1) + (x + 2) = 66
Combine like terms: 3x + 3 = 66
Subtract 3 from both sides: 3x = 66 - 3
$3x = 63$
Divide by 3: x = 63 / 3
$x = 21$
The smallest integer is 21.

Answer: 21

Example 3hard

The sum of three consecutive multiples of 7 is 294. What is the smallest of these multiples?

A)91
B)98
C)105
D)84

Step-by-step solution

Let the three consecutive multiples of 7 be (x - 7), x, and (x + 7).
Their sum is given as 294: (x - 7) + x + (x + 7) = 294.
Simplify the equation: 3x = 294.
Solve for x: x = 294 / 3 = 98. The smallest multiple is x - 7 = 98 - 7 = 91.

Answer: 91

Practice questions on Simple Equations

Q1.easy
The statement 'A number increased by 7 is equal to 20' can be written as which of the following equations?
1. A)x + 7 = 20
2. B)7x = 20
3. C)x - 7 = 20
4. D)x/7 = 20
Show answer
Answer: x + 7 = 20
Hint: Let the unknown number be 'x'. Think about what 'increased by' means in mathematical terms.
Q2.easy
What is the value of 'x' in the equation x - 8 = 15?
1. A)7
2. B)23
3. C)-7
4. D)15
Show answer
Answer: 23
Hint: To isolate 'x', you need to perform the inverse operation of subtraction on both sides of the equation.
Q3.easy
Which statement about solving equations is TRUE?
1. A)You can only add or subtract numbers from the left side of an equation.
2. B)Adding a number to one side means you must subtract it from the other side to keep balance.
3. C)An equation is balanced if the variable is always positive.
4. D)If you add the same number to both sides of an equation, the equality remains true.
Show answer
Answer: If you add the same number to both sides of an equation, the equality remains true.
Hint: Think about the fundamental principle of maintaining balance in an equation. What must be done to both sides?
Q4.medium
A father is 4 times as old as his son. If the sum of their ages is 40 years, what is the son's age?
1. A)6 years
2. B)7 years
3. C)8 years
4. D)10 years
Show answer
Answer: 8 years
Hint: Express the father's age in terms of the son's age using a variable. Then, use the sum of their ages to form an equation.
Q5.medium
A shopkeeper sells pens for ₹15 each and notebooks for ₹20 each. If a student buys 3 pens and some notebooks for a total of ₹115, how many notebooks did he buy?
1. A)2
2. B)3
3. C)4
4. D)5
Show answer
Answer: 3
Hint: First, calculate the total cost of the pens. Then, subtract that from the total bill to find the cost of the notebooks. Finally, divide by the price of one notebook.
Q6.medium
The length of a rectangular park is 5 meters more than twice its width. If the perimeter of the park is 100 meters, find the length of the park.
1. A)35 meters
2. B)30 meters
3. C)25 meters
4. D)20 meters
Show answer
Answer: 35 meters
Hint: Let the width be 'w'. Express the length 'l' in terms of 'w'. Then use the perimeter formula (P = 2(l + w)) to form an equation and solve for 'w', then 'l'.
Q7.hard
Rohan tried to solve the equation 5(x - 3) - 2x = 2x + 15. His steps are shown below. Identify the step where Rohan made the first error.
Step 1: 5x - 15 - 2x = 2x + 15
Step 2: 3x - 15 = 2x + 15
Step 3: 3x - 2x = 15 - 15
Step 4: x = 0
1. A)Step 1
2. B)Step 2
3. C)Step 3
4. D)Step 4
Show answer
Answer: Step 3
Hint: Carefully check the sign changes when transposing terms from one side of the equation to the other.
Q8.hard
A number is first multiplied by 5, then 15 is subtracted from the result. This new result is then divided by 3. If the final outcome is 25, what was the original number?
1. A)15
2. B)21
3. C)24
4. D)18
Show answer
Answer: 18
Hint: Translate the sequence of operations into an algebraic equation, then solve for the unknown number.
Q9.hard
Presently, Ram is three times as old as his son. In 10 years, Ram will be twice as old as his son. What is the present age of Ram?
1. A)20 years
2. B)30 years
3. C)40 years
4. D)50 years
Show answer
Answer: 30 years
Hint: Set up expressions for their current ages and their ages in 10 years. Then form an equation based on the future age relationship.

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.