Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 975 · 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: p/5 + p/6 = 44. What is p?
2. 2.The sum of four consecutive whole numbers is 66. What is the largest of them?
3. 3.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
4. 4.The sum of three consecutive whole numbers is 150. What is the largest of them?
5. 5.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
8. 8.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
9. 9.The sum of three consecutive whole numbers is 102. What is the smallest of them?
10. 10.Solve: y/6 + y/3 = 21. What is y?
11. 11.Solve: 4(x − 1) = 2x + 14. What is x?
12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
13. 13.Solve: 6y + 17 = y + 82. What is y?
14. 14.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: 9x + 20 = 7x + 32. What is x?
16. 16.A father is 33 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
17. 17.Solve: 3(p − 3) = p + 1. What is p?
18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
19. 19.A father is 51 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?
20. 20.Solve: n/3 + n/2 = 10. What is n?
21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
22. 22.Solve: 4(y − 4) = 3y + 2. What is y?
23. 23.Solve: 3(m − 3) = 2m + 3. What is m?
24. 24.Solve: m/2 + m/3 = 30. What is m?
25. 25.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
26. 26.Solve: p/2 + p/3 = 35. What is p?
27. 27.A father is 13 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.Solve: 5(n − 2) = 3n + 2. What is n?
29. 29.Solve: 4(x − 3) = x + 30. What is x?
30. 30.Solve: x/5 + x/2 = 21. What is x?
31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
32. 32.The sum of four consecutive whole numbers is 90. What is the smallest of them?
33. 33.Solve: 3(m − 2) = 2m + 6. What is m?
34. 34.The sum of four consecutive whole numbers is 222. What is the smallest of them?
35. 35.The sum of three consecutive whole numbers is 87. What is the smallest of them?
36. 36.Solve: 8t + 14 = 7t + 16. What is t?
37. 37.Solve: 4(t − 3) = 2t + 2. What is t?
38. 38.Solve: 4m + 11 = m + 29. What is m?
39. 39.Solve: t/6 + t/2 = 8. What is t?
40. 40.A father is 30 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?

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