Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 33 · 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 length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
2. 2.Solve: 8p + 16 = 2p + 64. What is p?
3. 3.Solve: t/3 + t/4 = 28. What is t?
4. 4.Solve: x/4 + x/2 = 24. What is x?
5. 5.Solve: 6t + 1 = 2t + 33. What is t?
6. 6.Solve: 9y + 18 = y + 130. What is y?
7. 7.The sum of two consecutive whole numbers is 79. What is the smallest of them?
8. 8.Solve: 5(y − 1) = y + 23. What is y?
9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
10. 10.The sum of four consecutive whole numbers is 226. What is the largest of them?
11. 11.Solve: 4y + 6 = 3y + 7. What is y?
12. 12.A father is 32 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?
13. 13.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?
14. 14.Solve: 4n + 10 = n + 49. What is n?
15. 15.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
16. 16.Solve: t/5 + t/3 = 40. What is t?
17. 17.A father is 27 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.Solve: 3m + 1 = m + 27. What is m?
19. 19.The sum of three consecutive whole numbers is 177. What is the largest of them?
20. 20.Solve: 3p + 14 = p + 20. What is p?
21. 21.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
22. 22.The sum of two consecutive whole numbers is 87. What is the smallest of them?
23. 23.Solve: t/6 + t/3 = 18. What is t?
24. 24.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
25. 25.The sum of four consecutive whole numbers is 50. What is the smallest of them?
26. 26.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
27. 27.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?
28. 28.The sum of two consecutive whole numbers is 119. What is the smallest of them?
29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
30. 30.Solve: 4(y − 2) = 2y + 2. What is y?
31. 31.A father is 36 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?
32. 32.Solve: 5(n − 5) = 2n + 2. What is n?
33. 33.Solve: 6(m − 5) = 5m + 11. What is m?
34. 34.Solve: 3p + 15 = p + 21. What is p?
35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
36. 36.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
37. 37.The sum of two consecutive whole numbers is 71. What is the largest of them?
38. 38.Solve: 5(m − 3) = 3m + 7. What is m?
39. 39.Solve: 6(n − 1) = n + 49. What is n?
40. 40.Solve: x/6 + x/2 = 20. What is x?

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