Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 228 · 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: 3x + 16 = x + 24. What is x?
2. 2.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
3. 3.A father is 48 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?
4. 4.The sum of two consecutive whole numbers is 47. What is the largest of them?
5. 5.A father is 26 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.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
7. 7.Solve: 8p + 15 = 5p + 42. What is p?
8. 8.Solve: m/6 + m/2 = 32. What is m?
9. 9.Solve: m/5 + m/2 = 42. What is m?
10. 10.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?
11. 11.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
12. 12.Solve: 4(y − 2) = 2y + 20. What is y?
13. 13.The sum of four consecutive whole numbers is 210. What is the smallest of them?
14. 14.Solve: y/6 + y/4 = 25. What is y?
15. 15.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
16. 16.The sum of three consecutive whole numbers is 141. What is the smallest of them?
17. 17.The sum of two consecutive whole numbers is 15. What is the largest of them?
18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
20. 20.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
21. 21.Solve: 6p + 11 = 4p + 23. What is p?
22. 22.The sum of four consecutive whole numbers is 226. What is the smallest of them?
23. 23.The sum of two consecutive whole numbers is 51. What is the largest of them?
24. 24.Solve: 8x + 3 = 2x + 75. What is x?
25. 25.Solve: 5(x − 4) = 2x + 7. What is x?
26. 26.Solve: 8m + 14 = m + 35. What is m?
27. 27.The sum of two consecutive whole numbers is 53. What is the smallest of them?
28. 28.Solve: n/2 + n/6 = 16. What is n?
29. 29.A father is 24 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?
30. 30.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
31. 31.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
32. 32.The sum of four consecutive whole numbers is 118. What is the smallest of them?
33. 33.Solve: 3(p − 1) = 2p + 1. What is p?
34. 34.Solve: 4(p − 4) = 3p + 5. What is p?
35. 35.Solve: x/2 + x/3 = 15. What is x?
36. 36.Solve: 6t + 10 = 5t + 16. What is t?
37. 37.Solve: 5m + 14 = 2m + 29. What is m?
38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
39. 39.The sum of two consecutive whole numbers is 57. What is the smallest of them?
40. 40.The sum of three consecutive whole numbers is 27. What is the largest of them?

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