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Important Questions

Linear Equations in one Variable — Important Questions

ICSE · Class 8 · Mathematics

47 important questions from Linear Equations in one Variable for ICSE Class 8 Mathematics, with answers. Part of the ICSE Class 8 Mathematics syllabus.

47 questions24 flashcards13 formulas & key relations5 concepts

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47 Questions·
multiple choicetrue falsemultiple correct

Important Questions from Linear Equations in one Variable

1multiple choice
3 marks

Solve the equation and then find y from 1/x + 1/y = 3, where x is the solution of (2x + 1)/10 - (3 - 2x)/15 = (x - 2)/6. What is the value of y?

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7/26

First solve (2x + 1)/10 - (3 - 2x)/15 = (x - 2)/6. LCM of 10, 15, and 6 is 30. Multiply each term by 30: 3(2x + 1) - 2(3 - 2x) = 5(x - 2). 6x + 3 - 6 + 4x = 5x - 10. 10x - 3 = 5x - 10. 5x = -7. x = -7/5. Now use 1/x + 1/y = 3. 1/x = -5/7. So, -5/7 + 1/y = 3. 1/y = 3 + 5/7 = 26/7. y = 7/26.

2multiple choice
3 marks

A rectangle is 8 cm long and 5 cm wide. Its perimeter becomes double when each side is increased by x cm. What is the new length of the rectangle?

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14.5 cm

Original perimeter = 2(length + width) = 2(8 + 5) = 26 cm. After increasing each side by x cm, new length = 8 + x and new width = 5 + x. New perimeter = 2(8 + x + 5 + x) = 26 + 4x. Given: new perimeter is double the original perimeter. So, 26 + 4x = 2 × 26 = 52. 4x = 26. x = 6.5 cm. New length = 8 + 6.5 = 14.5 cm.

3multiple choice
3 marks

Solve 21 - 3(a - 7) = a + 20. What is the value of a?

Show answer

11/2

Expand the bracket: 21 - 3a + 21 = a + 20. So, 42 - 3a = a + 20. 42 - 20 = a + 3a. 22 = 4a. a = 22/4 = 11/2.

4multiple choice
3 marks

Solve (y + 2)/4 - (y - 3)/3 = 1/2. What is the value of y?

Show answer

12

LCM of 4, 3, and 2 is 12. Multiply each term by 12: 3(y + 2) - 4(y - 3) = 6. 3y + 6 - 4y + 12 = 6. -y + 18 = 6. -y = -12. y = 12.

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What are the important topics in Linear Equations in one Variable for ICSE Class 8 Mathematics?
Key topics in Linear Equations in one Variable include Basic ideas and definitions, Solving equations by balancing both sides, Fractional and cross-multiplication equations, Word problems based on linear equations. Study these first, then practise questions on each for Class 8 exams.
How many important questions are there in Linear Equations in one Variable?
Super Tutor has 47 practice questions for Linear Equations in one Variable, including multiple choice, true false, multiple correct questions. A sample with answers is on this page.

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