Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 767 · 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 length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
2. 2.The sum of three consecutive whole numbers is 69. What is the largest of them?
3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
5. 5.Solve: 4n + 14 = 3n + 19. What is n?
6. 6.Solve: 6(m − 5) = 5m + 2. What is m?
7. 7.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
8. 8.Solve: x/5 + x/6 = 66. What is x?
9. 9.Solve: 5y + 13 = 2y + 31. What is y?
10. 10.Solve: 6(x − 5) = 2x + 2. What is x?
11. 11.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
12. 12.The sum of two consecutive whole numbers is 33. What is the largest of them?
13. 13.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?
14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
15. 15.The sum of two consecutive whole numbers is 107. What is the smallest of them?
16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
18. 18.Solve: 7p + 11 = 2p + 21. What is p?
19. 19.The sum of two consecutive whole numbers is 101. What is the largest of them?
20. 20.Solve: 4(p − 2) = 2p + 8. What is p?
21. 21.Solve: x/6 + x/2 = 24. What is x?
22. 22.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?
23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
24. 24.Solve: 3x + 11 = x + 17. What is x?
25. 25.Solve: 7x + 6 = 4x + 30. What is x?
26. 26.Solve: 3(y − 3) = 2y + 4. What is y?
27. 27.A father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
28. 28.Solve: m/3 + m/4 = 14. What is m?
29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
31. 31.Solve: m/4 + m/3 = 14. What is m?
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
33. 33.A father is 18 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?
34. 34.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
35. 35.Solve: 3(x − 2) = x + 6. What is x?
36. 36.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
37. 37.A father is 27 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?
38. 38.A father is 10 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?
39. 39.Solve: x/6 + x/3 = 15. What is x?
40. 40.Solve: n/6 + n/3 = 24. What is n?

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