Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 514 · 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 90 cm. What is its width (in cm)?
2. 2.Solve: y/3 + y/5 = 8. What is y?
3. 3.The sum of two consecutive whole numbers is 47. What is the smallest of them?
4. 4.Solve: 4(p − 1) = p + 32. What is p?
5. 5.Solve: 8x + 3 = 2x + 15. What is x?
6. 6.The length of a rectangle is 8 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
8. 8.Solve: 6(n − 2) = 5n + 5. What is n?
9. 9.The length of a rectangle is 1 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
10. 10.Solve: t/3 + t/4 = 49. What is t?
11. 11.The sum of three consecutive whole numbers is 75. What is the smallest of them?
12. 12.Solve: n/2 + n/4 = 21. What is n?
13. 13.Solve: m/3 + m/2 = 15. What is m?
14. 14.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
15. 15.The sum of four consecutive whole numbers is 134. What is the largest of them?
16. 16.Solve: 3n + 16 = n + 22. What is n?
17. 17.Solve: x/4 + x/2 = 24. What is x?
18. 18.Solve: 6(y − 5) = y + 35. What is y?
19. 19.Solve: y/3 + y/6 = 15. What is y?
20. 20.Solve: 7p + 9 = 6p + 15. What is p?
21. 21.Solve: 5(y − 1) = y + 31. What is y?
22. 22.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
23. 23.Solve: 8n + 15 = 5n + 45. What is n?
24. 24.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?
25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
26. 26.A father is 16 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?
27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
28. 28.Solve: p/4 + p/3 = 21. What is p?
29. 29.The sum of two consecutive whole numbers is 31. What is the smallest of them?
30. 30.Solve: 3(m − 4) = m + 10. What is m?
31. 31.The sum of two consecutive whole numbers is 115. What is the smallest of them?
32. 32.The sum of four consecutive whole numbers is 150. What is the largest of them?
33. 33.Solve: 3(x − 2) = x + 2. What is x?
34. 34.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?
35. 35.The sum of four consecutive whole numbers is 30. What is the smallest of them?
36. 36.Solve: 4n + 8 = 3n + 13. What is n?
37. 37.A father is 39 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?
38. 38.Solve: 4n + 3 = 2n + 29. What is n?
39. 39.Solve: m/4 + m/6 = 20. What is m?
40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?

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