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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 7

Chapter 4: Simple Equations

Name: ________________________
Date: ______________
Marks: ____ / 10

Forming and solving linear equations in one variable.

Questions

  1. Solve 5x−7=3x+55x - 7 = 3x + 5.
  2. Solve 2x3+1=5\dfrac{2x}{3} + 1 = 5.
  3. Twice a number reduced by 77 equals 1515. Find the number.
  4. Solve 2x+5=152x + 5 = 15.
  5. Solve x/3=7x/3 = 7.
  6. Solve 3(x−2)=123(x - 2) = 12.
  7. Sum of two consecutive numbers is 1919; find them.
  8. Solve 5x−3=2x+65x - 3 = 2x + 6.
  9. Solve x2+3=7\dfrac{x}{2} + 3 = 7.
  10. 55 times a number minus 33 is 1717: find the number.

Extra Practice (Optional)

  • Solve 4y+3=2y+154y + 3 = 2y + 15.
  • Solve 3x4−2=7\dfrac{3x}{4} - 2 = 7.
  • A number added to 23\dfrac{2}{3} of itself gives 2525.

Answer Key (For Teachers)

  1. Answer: x=6x = 6.
    Working: 2x=122x = 12.
  2. Answer: x=6x = 6.
    Working: 2x3=4⇒x=6\dfrac{2x}{3} = 4 \Rightarrow x = 6.
  3. Answer: n=11n = 11.
    Working: 2n−7=152n - 7 = 15.
  4. Answer: x=5x = 5
    Working: Subtract 55; divide by 22.
  5. Answer: x=21x = 21
    Working: Multiply by 33.
  6. Answer: x=6x = 6
    Working: Divide by 33: x−2=4x - 2 = 4.
  7. Answer: 9,109, 10
    Working: Let x,x+1x, x+1; 2x+1=192x+1 = 19.
  8. Answer: x=3x = 3
    Working: 3x=93x = 9.
  9. Answer: x=8x = 8
    Working: Subtract 33; multiply by 22.
  10. Answer: x=4x = 4
    Working: 5x−3=175x - 3 = 17.
Gyaan Maths · CBSE Class 7 · Chapter 4
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026