Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 321 · 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 four consecutive whole numbers is 26. What is the smallest of them?
2. 2.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
3. 3.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
4. 4.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?
5. 5.A father is 18 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
6. 6.Solve: n/5 + n/3 = 16. What is n?
7. 7.The sum of three consecutive whole numbers is 144. What is the smallest of them?
8. 8.Solve: 4(m − 3) = m + 30. What is m?
9. 9.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
10. 10.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?
11. 11.Solve: 5(m − 2) = 3m + 20. What is m?
12. 12.Solve: 6(n − 4) = 3n + 36. What is n?
13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
14. 14.Solve: y/2 + y/5 = 14. What is y?
15. 15.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
16. 16.The sum of four consecutive whole numbers is 142. What is the smallest of them?
17. 17.Solve: 4m + 8 = m + 20. What is m?
18. 18.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
19. 19.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
20. 20.The sum of two consecutive whole numbers is 27. What is the largest of them?
21. 21.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
23. 23.Solve: m/5 + m/2 = 7. What is m?
24. 24.Solve: 3x + 5 = 2x + 20. What is x?
25. 25.The length of a rectangle is 10 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
26. 26.Solve: p/2 + p/6 = 8. What is p?
27. 27.Solve: 3(t − 1) = 2t + 10. What is t?
28. 28.Solve: m/4 + m/6 = 20. What is m?
29. 29.Solve: 7t + 16 = 3t + 32. What is t?
30. 30.The sum of three consecutive whole numbers is 168. What is the smallest of them?
31. 31.The length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
32. 32.The sum of two consecutive whole numbers is 61. What is the smallest of them?
33. 33.Solve: 3(m − 1) = 2m + 1. What is m?
34. 34.The sum of two consecutive whole numbers is 59. What is the smallest of them?
35. 35.The sum of four consecutive whole numbers is 74. What is the largest of them?
36. 36.Solve: x/5 + x/2 = 56. What is x?
37. 37.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
38. 38.The sum of two consecutive whole numbers is 43. What is the smallest of them?
39. 39.Solve: 3(m − 1) = 2m + 10. What is m?
40. 40.Solve: 6(t − 1) = t + 34. What is t?

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