Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 749 · 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: 9y + 2 = y + 26. What is y?
2. 2.The sum of three consecutive whole numbers is 24. What is the smallest of them?
3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
4. 4.The sum of two consecutive whole numbers is 97. What is the largest of them?
5. 5.Solve: 5p + 19 = p + 75. What is p?
6. 6.Solve: p/4 + p/2 = 12. What is p?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
8. 8.Solve: 3(m − 3) = 2m + 7. What is m?
9. 9.A father is 26 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?
10. 10.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
11. 11.A father is 26 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?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
13. 13.Solve: 6(n − 5) = 3n + 15. What is n?
14. 14.The length of a rectangle is 6 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
15. 15.The sum of two consecutive whole numbers is 51. What is the largest of them?
16. 16.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 3(x − 3) = x + 3. What is x?
18. 18.A father is 20 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
19. 19.Solve: 7t + 4 = t + 88. What is t?
20. 20.Solve: 6(m − 1) = 2m + 14. What is m?
21. 21.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: 3y + 13 = y + 15. What is y?
23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
24. 24.Solve: y/4 + y/6 = 20. What is y?
25. 25.Solve: 5(t − 4) = 2t + 1. What is t?
26. 26.Solve: 5(n − 2) = 4n + 4. What is n?
27. 27.Solve: 9p + 15 = 7p + 31. What is p?
28. 28.The sum of two consecutive whole numbers is 43. What is the smallest of them?
29. 29.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
30. 30.Solve: 4p + 14 = 2p + 38. What is p?
31. 31.Solve: 4(p − 4) = 2p + 20. What is p?
32. 32.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
33. 33.Solve: 9p + 15 = 6p + 24. What is p?
34. 34.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
35. 35.The sum of two consecutive whole numbers is 95. What is the smallest of them?
36. 36.Solve: 3(p − 4) = 2p + 9. What is p?
37. 37.Solve: 4(n − 4) = 2n + 16. What is n?
38. 38.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?
39. 39.Solve: n/2 + n/5 = 35. What is n?
40. 40.A father is 6 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?

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