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CBSE Class 8  >  Class 8 Test  >  Mathematics (Maths)   >  Test: Linear Equations- 2 - Class 8 MCQ

Linear Equations- 2 - Free MCQ Practice Test with solutions, Class 8 Maths


MCQ Practice Test & Solutions: Test: Linear Equations- 2 (17 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- 2". These 17 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: 20 minutes
  • - Number of Questions: 17

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Linear Equations- 2 - Question 1
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Solve: 4y = 20

Detailed Solution: Question 1

To solve the equation 4y = 20, follow these steps:

  • Divide both sides by 4:

y = 20 ÷ 4

  • This simplifies to y = 5.

Thus, the solution is correct and complete.

Test: Linear Equations- 2 - Question 2
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Solve: 3x = 2x+ 18

Detailed Solution: Question 2

Starting with the equation:

3x = 2x + 18

To solve for x, follow these steps:

  • Subtract 2x from both sides:

    • 3x - 2x = 18

  • Simplify the left side:

    • x = 18

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Test: Linear Equations- 2 - Question 3
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Solve: x = 4/5*(x+10)

Detailed Solution: Question 3

x = 4/5*(x + 10)

=> x = 4x/5 + 8

=> x - 4x/5 = 8

=> (5x - 4x)/5 = 8

=> x = 8 * 5 = 40

Verification / Checking-

LHS = x = 40

RHS = 4/5*(x + 10) = 4/5*(40 + 10) = 4/5 * 50 = 40

Test: Linear Equations- 2 - Question 4
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The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.

Detailed Solution: Question 4

The sum of three consecutive multiples of 7 equals 357. The average of these numbers is 357 divided by 3 = 119, which is the middle multiple. Subtracting 7 gives the smallest multiple: 119 - 7 = 112.

Test: Linear Equations- 2 - Question 5
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In an equation the values of the expressions on the LHS and RHS are _______.

Detailed Solution: Question 5

In an equation, by definition, the left-hand side (LHS) and right-hand side (RHS) must be equal for the equation to hold true. Therefore, the correct answer is that their values are equal.

Test: Linear Equations- 2 - Question 6
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Solve: x − 2 = 7

Detailed Solution: Question 6

To solve the equation, follow these steps:

1. Add 2 to both sides of the equation:

  • x - 2 + 2 = 7 + 2

2. Simplifying gives:

  • x = 9

Test: Linear Equations- 2 - Question 7
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Solve: 5t – 3 = 3t – 5

Detailed Solution: Question 7

To solve the equation 5t - 3 = 3t - 5:

  1. Subtract 3t from both sides:
    • 5t - 3t - 3 = -5
    • Simplifying, we get: 2t - 3 = -5
  2. Add 3 to both sides:
    • 2t - 3 + 3 = -5 + 3
    • Simplifying, we get: 2t = -2
  3. Divide both sides by 2:
    • t = -2/2 = -1

Thus, the solution is t = -1.

Test: Linear Equations- 2 - Question 8
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The present age of Sahil’s mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.

Detailed Solution: Question 8

Let present age of sahil is 'x'
his mother age is '3x'
after five yearssahil's age is 'x+5'
his mother's age is '3x+5'
according to problem, given sum of their ages after five years is 66
⇒(x+5)+(3x+5)=66
4x+10=664x=66-10
4x=56
x=56/4
x=14sahil's age is x=14=14 years
sahil's mother age is 3x=3(14)= 42=42 years.

Test: Linear Equations- 2 - Question 9
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Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Detailed Solution: Question 9

Let she thoughts the no x
according to question ,she subtract the 5/2 from the no.= x-5/2
now ,she multiply the result by 8 =8(x-5/2)
according to statement
3x = 8(x-5/2)
3x=8x -20
20=5x
x=4
she thought the no. as 4

Test: Linear Equations- 2 - Question 10
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Solve: 7x = 21

Detailed Solution: Question 10

To solve the equation 7x = 21, divide both sides by 7. This simplifies to x = 3. Therefore, the correct answer is option A.

Test: Linear Equations- 2 - Question 11
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Solve: 5x+ 9 = 5 + 3x

Detailed Solution: Question 11

To solve the equation 5x + 9 = 5 + 3x, follow these steps:

  • Step 1: Subtract 3x from both sides:
    • 5x - 3x + 9 = 5
    • Simplifies to: 2x + 9 = 5
  • Step 2: Subtract 9 from both sides:
    • 2x = 5 - 9
    • 2x = -4
  • Step 3: Divide both sides by 2:
    • x = -2

Test: Linear Equations- 2 - Question 12
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Solve: y + 3 = 10

Detailed Solution: Question 12

To solve the equation y + 3 = 10:

  • Subtract 3 from both sides:
  • y + 3 - 3 = 10 - 3
  • Simplify:
  • y = 7

Test: Linear Equations- 2 - Question 13
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Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

Detailed Solution: Question 13

Let the number be x.
So, the other number is (x + 15).
(x + 15) + x = 95
2x + 15 = 95
2x = 95 - 15
2x = 80
x = 40
So, the numbers are 40 and 55.

Test: Linear Equations- 2 - Question 14
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The value of the expression on one side of the equality sign is _____ to the value of the expression on the other side.

Detailed Solution: Question 14

In an equation, the equality sign (=) indicates that the values of the expressions on both sides are equal. Therefore:

  • The value of the expression on one side is equal to the value of the expression on the other side.

Test: Linear Equations- 2 - Question 15
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Solve (2x/3) + 1 = (7x/15) + 3

Detailed Solution: Question 15

To solve the equation, we start with:

(2x/3) 1 = (7x/15) 3

First, we can eliminate the fractions by multiplying both sides by 15:

  • Multiply the left side: 15 * (2x/3) = 10x
  • Multiply the right side: 15 * (7x/15) = 7x

This gives us:

10x + 15 = 7x + 45

Next, we simplify the equation:

  • Subtract 7x from both sides: 10x - 7x + 15 = 45
  • This simplifies to: 3x + 15 = 45

Now, we isolate x:

  • Subtract 15 from both sides: 3x = 30
  • Finally, divide by 3: x = 10

The solution is:

x = 10

Test: Linear Equations- 2 - Question 16
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Solve: 5a = 30

Detailed Solution: Question 16

To solve for a, divide both sides of the equation by 5. This gives a = 30/5 = 6. Therefore, the correct answer is D) 6.

Test: Linear Equations- 2 - Question 17
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What is the solution of the linear equation 3x + 5 = 20?

Detailed Solution: Question 17

Subtract 5 from both sides to get 3x = 15. Dividing both sides by 3 gives x = 5.

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About this Class 8 Practice Test

This test contains 17 MCQs on Linear Equations- 2 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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