Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 462 · 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/3 + m/4 = 35. What is m?
2. 2.Solve: x/2 + x/6 = 28. What is x?
3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
4. 4.The sum of four consecutive whole numbers is 182. What is the largest of them?
5. 5.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?
6. 6.A father is 12 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?
7. 7.The sum of two consecutive whole numbers is 109. What is the largest of them?
8. 8.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?
9. 9.The sum of four consecutive whole numbers is 178. What is the largest of them?
10. 10.The sum of two consecutive whole numbers is 33. What is the largest of them?
11. 11.A father is 21 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?
12. 12.Solve: 4(p − 2) = p + 13. What is p?
13. 13.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
14. 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
16. 16.Solve: x/5 + x/2 = 56. What is x?
17. 17.The sum of three consecutive whole numbers is 102. What is the smallest of them?
18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
19. 19.Solve: 5(m − 3) = 4m + 13. What is m?
20. 20.Solve: 4y + 10 = y + 52. What is y?
21. 21.Solve: 6(t − 5) = 5t + 1. What is t?
22. 22.Solve: 8x + 11 = 3x + 76. What is x?
23. 23.Solve: 6(n − 3) = 2n + 34. What is n?
24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
25. 25.Solve: m/6 + m/3 = 3. What is m?
26. 26.Solve: 4(m − 2) = 2m + 10. What is m?
27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
28. 28.Solve: 5p + 5 = 4p + 10. What is p?
29. 29.The sum of two consecutive whole numbers is 37. What is the smallest of them?
30. 30.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
31. 31.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
33. 33.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
34. 34.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
35. 35.The sum of three consecutive whole numbers is 18. What is the smallest of them?
36. 36.Solve: 5(y − 3) = 4y + 5. What is y?
37. 37.The sum of three consecutive whole numbers is 123. What is the largest of them?
38. 38.Solve: 3y + 4 = y + 6. What is y?
39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
40. 40.Solve: n/4 + n/6 = 5. What is n?

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