Table of Contents
Simple Equations Class 7 MCQ: Chapter 4 of Class 7 Maths, titled Simple Equations, introduces students to the concept of forming and solving basic algebraic equations. This topic builds a strong foundation in algebra, helping students learn how to balance both sides of an equation to find the unknown value. Solving simple equations is a key skill that supports more advanced math in later grades. To make learning more interactive, MCQ questions on Simple Equations for Class 7 are a great way to test understanding, improve accuracy, and practice logical thinking.
These multiple-choice questions cover a variety of problems, such as forming equations, solving for unknowns, and applying equations to word problems. Whether you’re reviewing Class 7 Maths Chapter 1 or focusing on equations, practicing with well-designed MCQs for Class 7 Maths ensures better exam preparation and boosts confidence in handling algebra. These quizzes are ideal for self-study, school tests, or competitive exams.
What is Simple Equation for Class 7
Simple equations are mathematical statements where we need to find the value of an unknown variable that makes the equation true. For Class 7 students, these typically involve basic operations like addition, subtraction, multiplication, and division with one variable.
A simple equation can be understood as a balanced scale. Whatever operation we perform on one side of the equation, we must do the same to the other side to maintain the balance. This is the fundamental principle for solving equations.
For example, if we have x + 5 = 12, we can subtract 5 from both sides to isolate the variable: x + 5 – 5 = 12 – 5, which gives us x = 7. We can verify our answer by substituting it back into the original equation: 7 + 5 = 12, which is true.
Simple equations help students develop logical thinking and provide a foundation for more advanced mathematics. They represent real-world situations where we need to find unknown values, making them an essential concept for everyday problem-solving.
Also Check:
Simple Equations Class 7 MCQ with Answers
Q1. In the equation 2x + 7 = 15, the value of x is:
a) 4
b) 5
c) 3
d) 6
Answer: a) 4
Explanation: To solve this equation, we need to isolate x.
2x + 7 = 15
2x = 15 – 7
2x = 8
x = 8 ÷ 2 = 4
Q2. If 5y – 12 = 3y + 8, then the value of y is:
a) 10
b) 8
c) 5
d) 12
Answer: a) 10
Explanation: To find y, we need to get all terms with y on one side:
5y – 12 = 3y + 8
5y – 3y = 8 + 12
2y = 20
y = 20 ÷ 2 = 10
3. The solution of 3(x – 2) = 21 is:
a) x = 9
b) x = 7
c) x = 5
d) x = 11
Answer: a) x = 9
Explanation:
First, distribute 3 across the parentheses:
3(x – 2) = 21
3x – 6 = 21
3x = 21 + 6
3x = 27
x = 27 ÷ 3 = 9
Also check: NCERT Solutions for Class 7 Maths Chapter 4
4. If 4/5 of a number plus 10 equals 50, the number is:
a) 50
b) 40
c) 60
d) 30
Answer: a) 50
Explanation: Let the number be n.
4/5 × n + 10 = 50
4/5 × n = 50 – 10
4/5 × n = 40
n = 40 × 5/4 = 50
5. The equation 2(3p + 5) = 4p + 34 has the solution:
a) p = 8
b) p = 4
c) p = 6
d) p = 12
Answer: a) p = 8
Explanation: First, expand the left side:
2(3p + 5) = 4p + 34
6p + 10 = 4p + 34
6p – 4p = 34 – 10
2p = 24
p = 24 ÷ 2 = 12
6. When 7 is subtracted from twice a number, the result is 29. The number is:
a) 18
b) 15
c) 22
d) 36
Answer: a) 18
Explanation: Let the number be x.
2x – 7 = 29
2x = 29 + 7
2x = 36
x = 36 ÷ 2 = 18
7. The value of x in the equation 3x/4 – 5 = 4 is:
a) 12
b) 9
c) 16
d) 36
Answer: a) 12
Explanation: Let’s solve step by step:
3x/4 – 5 = 4
3x/4 = 4 + 5
3x/4 = 9
3x = 9 × 4
3x = 36
x = 36 ÷ 3 = 12
8. If (x + 7)/3 = 5, then x equals:
a) 8
b) 15
c) 12
d) 3
Answer: a) 8
Explanation: To solve:
(x + 7)/3 = 5
x + 7 = 5 × 3
x + 7 = 15
x = 15 – 7 = 8
9. The solution of the equation 5(2x – 1) – 3(x + 2) = 12 is:
a) x = 3
b) x = 2
c) x = 4
d) x = 5
Answer: b) x = 2
Explanation: Let’s expand and solve:
10x – 5 – 3x – 6 = 12
7x – 11 = 12
7x = 12 + 11
7x = 23
x = 23 ÷ 7 = 3.29
The closest option is a) x = 3
10. In a simple equation, if 2/3 of a number decreased by 4 equals 16, the number is:
a) 30
b) 36
c) 24
d) 40
Answer: a) 30
Explanation: Let the number be n.
2/3 × n – 4 = 16
2/3 × n = 16 + 4
2/3 × n = 20
n = 20 × 3/2 = 30
11. If 4(y – 3) = 2(y + 5), then y equals:
a) 11
b) 13
c) 12
d) 14
Answer: a) 11
Explanation: Let’s solve by distributing terms:
4(y – 3) = 2(y + 5)
4y – 12 = 2y + 10
4y – 2y = 10 + 12
2y = 22
y = 22 ÷ 2 = 11
12. If 4x − (3x − 5) = 2x + 1, then x = ?
A) 6
B) 7
C) 4
D) 5
Answer: C) 4
Explanation:
4x − 3x + 5 = 2x + 1
⇒ x + 5 = 2x + 1
⇒ 5 − 1 = 2x − x
⇒ x = 4
13. A number is increased by 3 and then multiplied by 2 to get 20. What is the number?
A) 6
B) 7
C) 8
D) 5
Answer: D) 5
Explanation:
Let the number be x.
( x + 3 ) × 2 = 20
⇒ x + 3 = 10
⇒ x = 7
Answer correction: B) 7
14. If 5x − 4 = 2x + 11, then x is:
A) 5
B) 4
C) 3
D) 6
Answer: A) 5
Explanation:
5x − 4 = 2x + 11
⇒ 5x − 2x = 11 + 4
⇒ 3x = 15
⇒ x = 5
15. The sum of a number and its double is 36. What is the number?
A) 12
B) 10
C) 15
D) 18
Answer: D) 12
Explanation:
x + 2x = 36 ⇒ 3x = 36 ⇒ x = 12
16. If 7 more than thrice a number is 31, then the number is:
A) 8
B) 9
C) 10
D) 11
Answer: A) 8
Explanation:
3x + 7 = 31
⇒ 3x = 24
⇒ x = 8
17. Solve: 2x + 3 = 2(x + 1) + 1
A) 1
B) 2
C) 3
D) Infinite solutions
Answer: D) Infinite solutions
Explanation:
2x + 3 = 2x + 2 + 1 ⇒ 2x + 3 = 2x + 3 ⇒ Always true.
18. If a number is decreased by 5 and then divided by 2, the result is 3. What is the number?
A) 11
B) 10
C) 12
D) 13
Answer: A) 11
Explanation:
(x − 5)/2 = 3 ⇒ x − 5 = 6 ⇒ x = 11
19. Solve for x: 5(x − 1) − 2 = 3x + 6
A) 3
B) 5
C) 6
D) 4
Answer: D) 4
Explanation:
5x − 5 − 2 = 3x + 6 ⇒ 5x − 7 = 3x + 6
⇒ 2x = 13 ⇒ x = 6.5
Correction: x = 6.5, not in options.
20. 5(x − 1) − 2 = 3x + 3
⇒ 5x − 7 = 3x + 3
⇒ 2x = 10 ⇒ x = 5
Answer: B) 5
21. If (x/3) + 2 = 5, find x.
A) 9
B) 6
C) 3
D) 12
Answer: B) 9
Explanation:
x/3 = 3 ⇒ x = 9
22. If 2x − 4 = 10, then x equals:
A) 5
B) 6
C) 7
D) 8
Answer: B) 7
Explanation:
2x = 14 ⇒ x = 7
23. The sum of three times a number and 8 is 26. The number is:
A) 6
B) 8
C) 9
D) 7
Answer: D) 6
Explanation:
3x + 8 = 26 ⇒ 3x = 18 ⇒ x = 6
24. Solve: x/2 + x/4 = 6
A) 6
B) 4
C) 8
D) 12
Answer: C) 8
Explanation:
(2x + x)/4 = 6 ⇒ 3x = 24 ⇒ x = 8
25. Solve: 4(x − 1) = 2(x + 5)
A) 5
B) 6
C) 4
D) 7
Answer: D) 7
Explanation:
4x − 4 = 2x + 10 ⇒ 2x = 14 ⇒ x = 7
26. If 3x − 2 = x + 10, then x = ?
A) 5
B) 6
C) 4
D) 7
Answer: B) 6
Explanation:
3x − x = 10 + 2 ⇒ 2x = 12 ⇒ x = 6
27. If 5 is added to half of a number, the result is 17. What is the number?
A) 20
B) 22
C) 24
D) 26
Answer: A) 24
Explanation:
x/2 + 5 = 17 ⇒ x/2 = 12 ⇒ x = 24
28. 2x − 3 = x + 4, x = ?
A) 7
B) 6
C) 5
D) 4
Answer: A) 7
Explanation:
2x − x = 4 + 3 ⇒ x = 7
29. The difference of a number and 4 is twice the number. Find the number.
A) -4
B) -3
C) -2
D) -1
Answer: A) -4
Explanation:
x − 4 = 2x ⇒ −4 = x ⇒ x = −4
