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CBSE Class 8  >  Class 8 Test  >  Mathematics (Maths)   >  Test: Linear Equations- 1 - Class 8 MCQ

Linear Equations- 1 - Class 8 Maths Free MCQ Test with solutions


MCQ Practice Test & Solutions: Test: Linear Equations- 1 (10 Questions)

You can prepare effectively for Class 8 Mathematics (Maths) Class 8 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Linear Equations- 1". These 10 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Linear Equations- 1 - Question 1
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Solve 2x − 3 = x + 2

Detailed Solution: Question 1

Given, 2x - 3 = x + 2
Transposing 'x' to L.H.S
⇒ 2x - x - 3 = 2
⇒ x - 3 = 2
Transposing '3' to R.H.S
⇒ x = 2 + 3
⇒ x = 5.
Therefore, option (b) is the correct answer.

Test: Linear Equations- 1 - Question 2
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Solve: 5x−2(2x−7) = 2(3x−1)+7/2

Detailed Solution: Question 2

Given equation is 5x−2(2x−7) = 2(3x−1)+7/2

after opening the brackets
5x-4x+14 = 6x-2+7/2
taking x to one side constants to other side
6x+4x-5x=14+2-7/2
or 5x = 16-7/2
or 5x = (32-7)/2
or 5x = 25/2
or x = 25/10
or x = 5/2 (answer)

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Test: Linear Equations- 1 - Question 3
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Find the solution of 2x - 3 = 7 

Detailed Solution: Question 3

Given, 2x-3=7
Transposing -3 to R.H.S
2x=7+3
⇒ 2x=10
Transposing '2' to R.H.S, we get
x=10/2
⇒ x=5.
Therefore, the correct option is c.

Test: Linear Equations- 1 - Question 4
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Solve 2y + 9 = 4.

Detailed Solution: Question 4

Given, 2y + 9 =4
Transposing '9' to R.H.S, we get
2y = 4-9
⇒ 2y = -5
Therefore, y = -5/2
Hence, option 'A' is correct.

Test: Linear Equations- 1 - Question 5
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Solve: 3x−7=2x+5

Detailed Solution: Question 5

Given, 3x−7=2x+5

Transposing 2x to LHS:

3x−2x−7=5

x−7=5

Transposing −7 to RHS:

x=5+7

x=12

Therefore, option (C) is correct.

Test: Linear Equations- 1 - Question 6
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An algebraic equation is an _________ involving variables.

Detailed Solution: Question 6

An algebraic equation is an equality that involves variables. It states that two expressions are equal to each other, typically connected by an equals sign =. For example, in the equation 2x+3=7, the expression 2x+3 is equal to 7. The equation shows the relationship between the variable x and the constants.

Test: Linear Equations- 1 - Question 7
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Solve: 4(y−2)+3=2(y+1)+5

Detailed Solution: Question 7

Expanding both sides:

4y−8+3=2y+2+5

4y−5=2y+7

Transposing 2y to LHS and −5 to RHS:

4y−2y=7+5

2y=12

Dividing by 2:

y=6

Therefore, option (A) is correct.

Test: Linear Equations- 1 - Question 8
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Solve: 3x = 12

Detailed Solution: Question 8

Given, 3x = 12
Transposing '3' to R.H.S, we get
x = 12/3
⇒ x = 4

or
Divide both sides by '3' to get the value of x
3x/3 = 12/3 
⇒ x = 4

Test: Linear Equations- 1 - Question 9
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Solve the following linear equations:
 4x + 5 = 9

Detailed Solution: Question 9

We have 4x + 5 = 9
⇒ 4x = 9 – 5 (Transposing 5 to RHS)
⇒ 4x = 4
⇒ x = 1 (Transposing 4 to RHS)

Test: Linear Equations- 1 - Question 10
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Solve: 6a+5=3a+14

Detailed Solution: Question 10

Given, 6a+5=3a+14
Transposing 3a to LHS and 5 to RHS:

6a−3a=14−5

3a=9

Dividing by 3:

a=3

Therefore, option (A) is correct.

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About this Class 8 Practice Test

This test contains 10 MCQs on Linear Equations- 1 with detailed solutions for each question. It is part of the Mathematics (Maths) Class 8 course on EduRev, designed to align with the current Class 8 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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