Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 806 · 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: m/6 + m/3 = 24. What is m?
2. 2.A father is 18 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?
3. 3.The sum of four consecutive whole numbers is 118. What is the largest of them?
4. 4.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
6. 6.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?
7. 7.A father is 12 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?
8. 8.Solve: 5y + 13 = 3y + 29. What is y?
9. 9.The sum of four consecutive whole numbers is 30. What is the smallest of them?
10. 10.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
11. 11.Solve: 3y + 3 = y + 31. What is y?
12. 12.Solve: n/6 + n/3 = 24. What is n?
13. 13.Solve: 3(n − 4) = n + 24. What is n?
14. 14.The sum of two consecutive whole numbers is 45. What is the largest of them?
15. 15.The sum of four consecutive whole numbers is 82. What is the largest of them?
16. 16.Solve: 4(m − 2) = m + 37. What is m?
17. 17.A father is 33 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?
18. 18.A father is 20 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?
19. 19.Solve: y/2 + y/5 = 14. What is y?
20. 20.The sum of three consecutive whole numbers is 171. What is the largest of them?
21. 21.Solve: 9p + 12 = 3p + 78. What is p?
22. 22.Solve: 3x + 13 = 2x + 14. What is x?
23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
24. 24.Solve: 4(t − 2) = t + 7. What is t?
25. 25.Solve: 3t + 7 = 2t + 17. What is t?
26. 26.Solve: 7n + 10 = 6n + 13. What is n?
27. 27.The sum of two consecutive whole numbers is 31. What is the largest of them?
28. 28.Solve: 5(y − 1) = 4y + 12. What is y?
29. 29.Solve: 6m + 17 = 5m + 28. What is m?
30. 30.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
31. 31.Solve: 4p + 1 = 3p + 10. What is p?
32. 32.A father is 42 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?
33. 33.Solve: 3(t − 3) = 2t + 8. What is t?
34. 34.Solve: p/4 + p/2 = 12. What is p?
35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
36. 36.Solve: y/2 + y/3 = 5. What is y?
37. 37.Solve: 3(m − 4) = m + 10. What is m?
38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
39. 39.Solve: 4(x − 3) = 3x + 1. What is x?
40. 40.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?

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