Chapter 15 · Class 7 CBSE · MCQ Test
Simple Equations MCQ Test — Class 7 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Simple Equations — MCQ Questions
1Which of the following expressions is an equation?
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Answer: 4z = 12
Hint: An equation must always contain an equality sign (=) to show that two expressions are equal.
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.
2The statement 'A number increased by 7 is equal to 20' can be written as which of the following equations?
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Answer: x + 7 = 20
Hint: Let the unknown number be 'x'. Think about what 'increased by' means in mathematical terms.
Solution:
Let the unknown number be 'x'.
'Increased by 7' means adding 7 to the number, so it becomes x + 7.
'Is equal to 20' means setting the expression equal to 20.
Combining these, the equation is x + 7 = 20.
3What is the value of 'x' in the equation x - 8 = 15?
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Answer: 23
Hint: To isolate 'x', you need to perform the inverse operation of subtraction on both sides of the equation.
Solution:
Given the equation: x - 8 = 15.
To remove -8 from the left side, we add 8 to both sides to maintain balance. — x - 8 + 8 = 15 + 8
Simplifying both sides gives: — x = 23
4Which statement about solving equations is TRUE?
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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?
Solution:
The core principle of solving equations is to keep them balanced.
This means whatever operation you perform on one side of the equation, you must perform the exact same operation on the other side.
Therefore, adding the same number to both sides maintains the equality and keeps the equation true.
5What is the value of 'y' in the equation 4y = 28?
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Answer: 7
Hint: To find 'y', you need to undo the multiplication by 4. Remember to do the same operation on both sides.
Solution:
Given the equation: 4y = 28.
To isolate 'y', we need to divide both sides of the equation by 4. — 4y / 4 = 28 / 4
Simplifying both sides gives: — y = 7
6Consider the equation 6x = 30. Which operation maintains the equality?
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Answer: Dividing both sides by 6.
Hint: To keep an equation balanced, any operation performed on one side must also be performed on the other side.
Solution:
The principle of balancing equations states that performing the same operation on both sides maintains the equality.
To solve for 'x' in 6x = 30, we need to undo the multiplication by 6, which means dividing by 6.
Doing this to both sides (6x / 6 = 30 / 6) keeps the equation balanced and allows us to find the value of x.
7Ria solved the equation x + 9 = 20 as follows: x + 9 - 9 = 20 + 9. x = 29. What mistake did Ria make?
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Answer: She should have subtracted 9 from both sides of the original equation.
Hint: To isolate 'x' when 9 is added to it, you need to perform the inverse operation on both sides of the equation.
Solution:
The original equation is x + 9 = 20.
To isolate 'x', we need to undo the addition of 9. The inverse operation of adding 9 is subtracting 9.
Ria correctly subtracted 9 from the left side (x + 9 - 9), but she incorrectly added 9 to the right side (20 + 9). To maintain balance, she should have subtracted 9 from both sides: 20 - 9.
The correct step should be x + 9 - 9 = 20 - 9, which leads to x = 11.
8If a number decreased by 7 gives 12, what is the number?
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Answer: 19
Hint: Let the unknown number be 'n'. Write the mathematical statement as an equation and then solve for 'n'.
Solution:
Let the number be 'n'.
'A number decreased by 7' can be written as n - 7.
'Gives 12' means it is equal to 12. So, the equation is n - 7 = 12.
To solve for n, add 7 to both sides: n - 7 + 7 = 12 + 7, which simplifies to n = 19.
9Half of a number is 10. What is the number?
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Answer: 20
Hint: If half of the number is known, what operation would you perform to find the full number?
Solution:
Let the number be 'x'.
'Half of a number' can be written as x/2.
The equation is therefore: x/2 = 10.
To solve for x, multiply both sides by 2: (x/2) × 2 = 10 × 2, which simplifies to x = 20.
10An equation was solved by first subtracting 7 from both sides, which resulted in x = 15. What was the original equation?
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Answer: x + 7 = 22
Hint: Work backwards. If subtracting 7 led to x = 15, what must have been on the left side before the subtraction, and what was the original right side?
Solution:
The final step was x = 15, and this was obtained after subtracting 7 from both sides of the previous equation.
To reverse the operation, we need to add 7 to both sides of x = 15.
So, the equation before subtracting 7 must have been x + 7 = 15 + 7.
This simplifies to x + 7 = 22, which is the original equation.
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Tips for Simple Equations MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Simple Equations MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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