Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 4 · 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 sum of two consecutive whole numbers is 77. What is the smallest of them?
2. 2.The sum of two consecutive whole numbers is 93. What is the smallest of them?
3. 3.Solve: 3(x − 5) = x + 3. What is x?
4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
5. 5.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: m/5 + m/4 = 9. What is m?
7. 7.Solve: 4(y − 2) = 2y + 14. What is y?
8. 8.Solve: 4x + 13 = 3x + 24. What is x?
9. 9.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
11. 11.A father is 26 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
12. 12.Solve: 5(t − 5) = 3t + 7. What is t?
13. 13.Solve: 5y + 1 = y + 29. What is y?
14. 14.Solve: m/3 + m/5 = 32. What is m?
15. 15.The sum of four consecutive whole numbers is 234. What is the largest of them?
16. 16.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
17. 17.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
18. 18.A father is 24 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?
19. 19.Solve: m/2 + m/3 = 40. What is m?
20. 20.Solve: 9n + 13 = 3n + 25. What is n?
21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
22. 22.Solve: 5(p − 3) = 4p + 2. What is p?
23. 23.Solve: 6n + 1 = n + 6. What is n?
24. 24.Solve: p/6 + p/2 = 28. What is p?
25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
26. 26.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
28. 28.Solve: t/2 + t/6 = 8. What is t?
29. 29.Solve: m/2 + m/3 = 10. What is m?
30. 30.The sum of two consecutive whole numbers is 119. What is the smallest of them?
31. 31.Solve: 8m + 3 = 4m + 63. What is m?
32. 32.Solve: t/2 + t/6 = 12. What is t?
33. 33.The sum of three consecutive whole numbers is 54. What is the largest of them?
34. 34.Solve: 6(p − 2) = p + 13. What is p?
35. 35.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?
36. 36.The sum of four consecutive whole numbers is 90. What is the largest of them?
37. 37.The sum of two consecutive whole numbers is 119. What is the largest of them?
38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
40. 40.Solve: 8t + 2 = 6t + 20. What is t?

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