Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 367 · 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: 3(y − 1) = y + 17. What is y?
2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
3. 3.A father is 28 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?
4. 4.Solve: 5(n − 5) = 4n + 4. What is n?
5. 5.Solve: 7t + 3 = 2t + 78. What is t?
6. 6.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: y/4 + y/2 = 9. What is y?
8. 8.The sum of four consecutive whole numbers is 210. What is the largest of them?
9. 9.The sum of three consecutive whole numbers is 33. What is the smallest of them?
10. 10.A father is 14 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?
11. 11.A father is 40 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?
12. 12.A father is 45 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?
13. 13.The sum of two consecutive whole numbers is 33. What is the smallest of them?
14. 14.Solve: 3(p − 4) = p + 18. What is p?
15. 15.Solve: 5x + 11 = 3x + 37. What is x?
16. 16.Solve: 3(y − 5) = 2y + 1. What is y?
17. 17.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
18. 18.Solve: 6(p − 2) = 3p + 24. What is p?
19. 19.Solve: 5(y − 1) = y + 19. What is y?
20. 20.Solve: 5t + 7 = t + 43. What is t?
21. 21.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
22. 22.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
23. 23.Solve: 6p + 13 = 5p + 22. What is p?
24. 24.Solve: 6(y − 1) = 3y + 30. What is y?
25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
26. 26.A father is 18 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?
27. 27.Solve: 3(p − 2) = 2p + 7. What is p?
28. 28.The sum of three consecutive whole numbers is 129. What is the largest of them?
29. 29.Solve: 7t + 5 = 3t + 57. What is t?
30. 30.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
31. 31.Solve: 7p + 16 = 2p + 46. What is p?
32. 32.The sum of four consecutive whole numbers is 142. What is the largest of them?
33. 33.A father is 45 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
34. 34.Solve: 6(y − 1) = 2y + 18. What is y?
35. 35.Solve: 3t + 19 = 2t + 28. What is t?
36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
38. 38.Solve: m/6 + m/4 = 10. What is m?
39. 39.Solve: p/5 + p/3 = 48. What is p?
40. 40.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?

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