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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 8

Chapter 2: Linear Equations in One Variable

Name: ________________________
Date: ______________
Marks: ____ / 10

Solving equations with variables on both sides and word problems.

Questions

  1. Solve 2(x+1)−3=5(x−2)2(x+1) - 3 = 5(x-2).
  2. Solve 3x4=15\dfrac{3x}{4} = 15.
  3. Sum of three consecutive even numbers is 5454. Find them.
  4. Solve 2(x−3)=82(x-3) = 8.
  5. Solve 4x+5=3x+124x + 5 = 3x + 12.
  6. Solve x+23=5\dfrac{x+2}{3} = 5.
  7. The sum of two consecutive numbers is 4545; find them.
  8. Solve 5(x−1)=3(x+2)5(x-1) = 3(x+2).
  9. Solve 2x−13+x+24=3\dfrac{2x-1}{3} + \dfrac{x+2}{4} = 3.
  10. Half a number added to 88 equals 2020: find it.

Extra Practice (Optional)

  • Solve 2y−13=y+24\dfrac{2y-1}{3} = \dfrac{y+2}{4}.
  • Present age of a father is 4×4\times son. In 55 years father =3×= 3\times son. Find ages.
  • x−8=15x-8 = 15.

Answer Key (For Teachers)

  1. Answer: x=3x=3.
    Working: 2x−1=5x−10⇒3x=92x-1 = 5x-10 \Rightarrow 3x=9.
  2. Answer: x=20x=20.
    Working: 3x=603x=60.
  3. Answer: 16,18,2016, 18, 20.
    Working: 3x+6=543x+6=54.
  4. Answer: x=7x = 7
    Working: x−3=4x - 3 = 4.
  5. Answer: x=7x = 7
    Working: x=7x = 7.
  6. Answer: x=13x = 13
    Working: x+2=15x + 2 = 15.
  7. Answer: 22,2322, 23
    Working: 2x+1=452x + 1 = 45.
  8. Answer: x=11/2x = 11/2
    Working: 5x−5=3x+65x - 5 = 3x + 6; 2x=112x = 11.
  9. Answer: x=34/11x = 34/11
    Working: Multiply through by 1212: 4(2x−1)+3(x+2)=364(2x-1) + 3(x+2) = 36; 11x+2=3611x + 2 = 36; x=34/11x = 34/11.
  10. Answer: x=24x = 24
    Working: x/2+8=20x/2 + 8 = 20.
Gyaan Maths · CBSE Class 8 · Chapter 2
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026