Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 795 · 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.The sum of two consecutive whole numbers is 45. What is the smallest of them?
2. 2.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
3. 3.Solve: 3t + 1 = t + 31. What is t?
4. 4.Solve: 6(x − 2) = 5x + 4. What is x?
5. 5.Solve: 9y + 15 = y + 39. What is y?
6. 6.A father is 36 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
7. 7.Solve: 7m + 17 = m + 71. What is m?
8. 8.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
9. 9.The sum of four consecutive whole numbers is 122. What is the smallest of them?
10. 10.Solve: 7m + 5 = 6m + 17. What is m?
11. 11.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
12. 12.Solve: 9x + 3 = 4x + 38. What is x?
13. 13.Solve: x/4 + x/6 = 40. What is x?
14. 14.Solve: 6(m − 1) = m + 19. What is m?
15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
16. 16.Solve: m/3 + m/4 = 7. What is m?
17. 17.The sum of four consecutive whole numbers is 110. What is the largest of them?
18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
19. 19.The sum of two consecutive whole numbers is 71. What is the largest of them?
20. 20.The sum of two consecutive whole numbers is 89. What is the largest of them?
21. 21.Solve: p/3 + p/5 = 32. What is p?
22. 22.Solve: m/3 + m/4 = 14. What is m?
23. 23.A father is 20 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?
24. 24.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
26. 26.The sum of two consecutive whole numbers is 63. What is the largest of them?
27. 27.Solve: 3(y − 2) = 2y + 2. What is y?
28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
29. 29.Solve: 6t + 5 = 2t + 41. What is t?
30. 30.The sum of two consecutive whole numbers is 55. What is the smallest of them?
31. 31.The sum of four consecutive whole numbers is 186. What is the largest of them?
32. 32.Solve: 3(y − 4) = 2y + 9. What is y?
33. 33.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
34. 34.Solve: 6(x − 2) = 4x + 8. What is x?
35. 35.Solve: 6(x − 3) = 4x + 8. What is x?
36. 36.A father is 20 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?
37. 37.Solve: 3(n − 3) = n + 13. What is n?
38. 38.Solve: 6x + 6 = 5x + 13. What is x?
39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
40. 40.Solve: 5(p − 5) = p + 23. What is p?

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