Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 16 · 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 43. What is the smallest of them?
2. 2.Solve: t/2 + t/3 = 5. What is t?
3. 3.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
4. 4.Solve: 4(y − 5) = 3y + 10. What is y?
5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
6. 6.The sum of four consecutive whole numbers is 146. What is the largest of them?
7. 7.Solve: 8p + 3 = 6p + 9. What is p?
8. 8.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?
9. 9.The sum of four consecutive whole numbers is 86. What is the smallest of them?
10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
11. 11.Solve: 5m + 18 = m + 74. What is m?
12. 12.A father is 15 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?
13. 13.The sum of two consecutive whole numbers is 97. What is the smallest of them?
14. 14.Solve: n/3 + n/2 = 5. What is n?
15. 15.Solve: 7y + 18 = 3y + 34. What is y?
16. 16.Solve: 6x + 11 = 2x + 27. What is x?
17. 17.The sum of three consecutive whole numbers is 132. What is the largest of them?
18. 18.A father is 48 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?
19. 19.Solve: t/6 + t/2 = 16. What is t?
20. 20.A father is 17 years older than his son. In 8 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 82 cm. What is its width (in cm)?
22. 22.Solve: x/2 + x/4 = 18. What is x?
23. 23.Solve: 8t + 14 = 5t + 47. What is t?
24. 24.The sum of four consecutive whole numbers is 142. What is the largest of them?
25. 25.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
26. 26.Solve: 3x + 1 = 2x + 5. What is x?
27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
28. 28.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
29. 29.Solve: 4(p − 2) = p + 34. What is p?
30. 30.Solve: 4(x − 1) = 3x + 4. What is x?
31. 31.Solve: 6(p − 2) = 4p + 8. What is p?
32. 32.Solve: p/3 + p/4 = 35. What is p?
33. 33.Solve: 4(y − 5) = y + 10. What is y?
34. 34.Solve: 3(n − 3) = n + 17. What is n?
35. 35.The sum of three consecutive whole numbers is 78. What is the largest of them?
36. 36.The sum of two consecutive whole numbers is 89. What is the smallest of them?
37. 37.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: 6(x − 4) = 2x + 40. What is x?
39. 39.Solve: 5(t − 3) = 4t + 3. What is t?
40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?

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