Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 56 · 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: 7t + 1 = t + 73. What is t?
2. 2.The sum of two consecutive whole numbers is 79. What is the largest of them?
3. 3.Solve: 4(m − 1) = 3m + 3. What is m?
4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
6. 6.Solve: 5(t − 1) = 4t + 4. What is t?
7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
8. 8.Solve: 3(m − 4) = m + 22. What is m?
9. 9.Solve: 6(x − 5) = 2x + 38. What is x?
10. 10.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
11. 11.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
12. 12.The sum of three consecutive whole numbers is 45. What is the largest of them?
13. 13.Solve: 9p + 19 = 7p + 35. What is p?
14. 14.A father is 34 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?
15. 15.Solve: 3(y − 1) = y + 13. What is y?
16. 16.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?
17. 17.The sum of four consecutive whole numbers is 54. What is the smallest of them?
18. 18.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?
19. 19.Solve: t/3 + t/6 = 3. What is t?
20. 20.Solve: 5(y − 5) = 3y + 19. What is y?
21. 21.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: 5m + 20 = 4m + 25. What is m?
23. 23.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
24. 24.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
26. 26.The sum of two consecutive whole numbers is 119. What is the largest of them?
27. 27.Solve: 6(m − 5) = 3m + 9. What is m?
28. 28.The sum of two consecutive whole numbers is 107. What is the smallest of them?
29. 29.The sum of two consecutive whole numbers is 19. What is the largest of them?
30. 30.Solve: t/2 + t/5 = 42. What is t?
31. 31.The sum of four consecutive whole numbers is 218. What is the smallest of them?
32. 32.Solve: 8m + 10 = 4m + 30. What is m?
33. 33.A father is 12 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?
34. 34.Solve: 6(n − 5) = n + 60. What is n?
35. 35.Solve: 6p + 7 = 4p + 25. What is p?
36. 36.Solve: 8p + 16 = 7p + 25. What is p?
37. 37.Solve: 3t + 3 = 2t + 6. What is t?
38. 38.A father is 48 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?
39. 39.The sum of two consecutive whole numbers is 29. What is the largest of them?
40. 40.Solve: 3(t − 3) = t + 5. What is t?

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