Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 673 · 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 71. What is the largest of them?
2. 2.Solve: 4(t − 2) = 3t + 9. What is t?
3. 3.Solve: 4m + 15 = 2m + 23. What is m?
4. 4.Solve: t/2 + t/3 = 10. What is t?
5. 5.Solve: 7y + 12 = y + 60. What is y?
6. 6.The sum of four consecutive whole numbers is 30. What is the smallest of them?
7. 7.A father is 16 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?
8. 8.Solve: n/6 + n/5 = 66. What is n?
9. 9.Solve: p/6 + p/4 = 35. What is p?
10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
11. 11.The sum of three consecutive whole numbers is 183. What is the smallest of them?
12. 12.Solve: 6(m − 4) = m + 11. What is m?
13. 13.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?
14. 14.The length of a rectangle is 12 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
15. 15.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
16. 16.Solve: 5(y − 2) = 4y + 6. What is y?
17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
18. 18.Solve: 6n + 15 = n + 55. What is n?
19. 19.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?
20. 20.Solve: 9y + 18 = 2y + 74. What is y?
21. 21.The sum of three consecutive whole numbers is 132. What is the smallest of them?
22. 22.The sum of two consecutive whole numbers is 51. What is the smallest of them?
23. 23.Solve: 6(p − 1) = 4p + 12. What is p?
24. 24.A father is 45 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
25. 25.Solve: t/5 + t/2 = 28. What is t?
26. 26.The sum of three consecutive whole numbers is 27. What is the largest of them?
27. 27.Solve: 4(y − 5) = y + 25. What is y?
28. 28.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
29. 29.Solve: 6(p − 2) = 3p + 15. What is p?
30. 30.Solve: 7x + 19 = 2x + 94. What is x?
31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
32. 32.A father is 16 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?
33. 33.A father is 24 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?
34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
35. 35.Solve: y/4 + y/2 = 12. What is y?
36. 36.Solve: t/5 + t/6 = 11. What is t?
37. 37.Solve: 7p + 20 = 3p + 24. What is p?
38. 38.Solve: 5(x − 2) = 3x + 4. What is x?
39. 39.Solve: 3(y − 5) = 2y + 10. What is y?
40. 40.A father is 18 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?

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