Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 563 · 40 sums

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

1. 1.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
2. 2.Solve: y/3 + y/5 = 56. What is y?
3. 3.The sum of two consecutive whole numbers is 41. What is the smallest of them?
4. 4.The sum of two consecutive whole numbers is 23. What is the largest of them?
5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
6. 6.Solve: 9t + 18 = 5t + 26. What is t?
7. 7.Solve: m/3 + m/2 = 40. What is m?
8. 8.Solve: x/4 + x/2 = 21. What is x?
9. 9.Solve: x/5 + x/6 = 22. What is x?
10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
12. 12.Solve: 6y + 2 = 4y + 28. What is y?
13. 13.Solve: 5t + 7 = t + 67. What is t?
14. 14.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: 3(m − 3) = 2m + 1. What is m?
16. 16.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
18. 18.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
19. 19.The sum of three consecutive whole numbers is 21. What is the smallest of them?
20. 20.Solve: p/5 + p/4 = 36. What is p?
21. 21.Solve: y/5 + y/3 = 24. What is y?
22. 22.Solve: 5(x − 3) = x + 45. What is x?
23. 23.The sum of four consecutive whole numbers is 110. What is the largest of them?
24. 24.Solve: 5(x − 1) = 2x + 1. What is x?
25. 25.Solve: 3(t − 1) = 2t + 9. What is t?
26. 26.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
27. 27.Solve: 3(y − 1) = y + 1. What is y?
28. 28.Solve: 7m + 11 = 6m + 25. What is m?
29. 29.Solve: 5p + 1 = 4p + 8. What is p?
30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
31. 31.A father is 16 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
32. 32.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
34. 34.Solve: 4(p − 2) = 3p + 7. What is p?
35. 35.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
36. 36.Solve: n/2 + n/4 = 6. What is n?
37. 37.Solve: 5x + 1 = 4x + 4. What is x?
38. 38.Solve: 5(y − 4) = y + 20. What is y?
39. 39.Solve: 8y + 16 = 6y + 38. What is y?
40. 40.A father is 10 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?

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