Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 609 · 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 length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
2. 2.Solve: n/3 + n/5 = 40. What is n?
3. 3.Solve: 5(m − 1) = 4m + 9. What is m?
4. 4.Solve: 3(p − 3) = 2p + 2. What is p?
5. 5.Solve: 5m + 12 = m + 72. What is m?
6. 6.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
7. 7.A father is 48 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?
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
9. 9.Solve: 8y + 2 = 5y + 32. What is y?
10. 10.Solve: n/2 + n/6 = 16. What is n?
11. 11.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
12. 12.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
13. 13.Solve: y/2 + y/6 = 16. What is y?
14. 14.Solve: 5y + 11 = 2y + 38. What is y?
15. 15.A father is 39 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?
16. 16.Solve: 3t + 3 = t + 25. What is t?
17. 17.Solve: p/4 + p/2 = 9. What is p?
18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
19. 19.Solve: 9m + 16 = 4m + 81. What is m?
20. 20.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
22. 22.Solve: 4(x − 1) = x + 8. What is x?
23. 23.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
24. 24.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?
25. 25.Solve: x/6 + x/2 = 12. What is x?
26. 26.The sum of four consecutive whole numbers is 38. What is the largest of them?
27. 27.Solve: n/3 + n/4 = 14. What is n?
28. 28.A father is 22 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
29. 29.Solve: 5(m − 2) = 2m + 29. What is m?
30. 30.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?
31. 31.A father is 21 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?
32. 32.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
33. 33.A father is 39 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?
34. 34.Solve: 7p + 12 = 6p + 24. What is p?
35. 35.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?
36. 36.A father is 30 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
37. 37.The sum of four consecutive whole numbers is 98. What is the largest of them?
38. 38.The sum of three consecutive whole numbers is 159. What is the largest of them?
39. 39.Solve: 3p + 15 = p + 39. What is p?
40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?

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