Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 202 · 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.Solve: x/6 + x/5 = 22. What is x?
2. 2.Solve: 5p + 6 = 4p + 17. What is p?
3. 3.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
4. 4.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: 4y + 2 = 2y + 22. What is y?
6. 6.Solve: 5(m − 3) = m + 13. What is m?
7. 7.The sum of two consecutive whole numbers is 15. What is the smallest of them?
8. 8.Solve: y/3 + y/2 = 20. What is y?
9. 9.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?
10. 10.The sum of two consecutive whole numbers is 55. What is the smallest of them?
11. 11.A father is 22 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?
12. 12.The sum of three consecutive whole numbers is 126. What is the smallest of them?
13. 13.A father is 20 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?
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
15. 15.Solve: 9x + 16 = 6x + 49. What is x?
16. 16.The sum of four consecutive whole numbers is 86. What is the smallest of them?
17. 17.A father is 36 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
18. 18.The sum of four consecutive whole numbers is 46. What is the largest of them?
19. 19.The sum of four consecutive whole numbers is 150. What is the smallest of them?
20. 20.Solve: 6(p − 5) = 4p + 20. What is p?
21. 21.Solve: 4(t − 4) = 3t + 6. What is t?
22. 22.Solve: 5(m − 3) = m + 41. What is m?
23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
24. 24.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
25. 25.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
26. 26.Solve: 7x + 11 = 3x + 31. What is x?
27. 27.The length of a rectangle is 14 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
28. 28.Solve: 3p + 8 = p + 26. What is p?
29. 29.Solve: t/2 + t/5 = 7. What is t?
30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
31. 31.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
32. 32.Solve: 4x + 17 = x + 29. What is x?
33. 33.The sum of three consecutive whole numbers is 96. What is the largest of them?
34. 34.Solve: m/5 + m/3 = 40. What is m?
35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
36. 36.The sum of two consecutive whole numbers is 21. What is the largest of them?
37. 37.Solve: n/5 + n/6 = 11. What is n?
38. 38.Solve: 3(m − 2) = 2m + 3. What is m?
39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
40. 40.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

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