Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 538 · 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 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
2. 2.Solve: 6(t − 1) = 3t + 36. What is t?
3. 3.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
4. 4.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
5. 5.A father is 36 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?
6. 6.Solve: 5(x − 3) = 4x + 12. What is x?
7. 7.Solve: 6(n − 2) = 2n + 24. What is n?
8. 8.Solve: 6p + 15 = 3p + 24. What is p?
9. 9.The sum of three consecutive whole numbers is 156. What is the smallest of them?
10. 10.The sum of two consecutive whole numbers is 107. What is the smallest of them?
11. 11.Solve: 4(x − 1) = 2x + 12. What is x?
12. 12.Solve: 7m + 18 = 4m + 39. What is m?
13. 13.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
14. 14.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
15. 15.The sum of three consecutive whole numbers is 117. What is the smallest of them?
16. 16.Solve: x/3 + x/6 = 9. What is x?
17. 17.The sum of four consecutive whole numbers is 194. What is the smallest of them?
18. 18.Solve: p/6 + p/2 = 16. What is p?
19. 19.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
20. 20.Solve: y/4 + y/6 = 5. What is y?
21. 21.A father is 14 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?
22. 22.Solve: 4(x − 3) = 3x + 3. What is x?
23. 23.The sum of three consecutive whole numbers is 162. What is the smallest of them?
24. 24.Solve: n/3 + n/2 = 30. What is n?
25. 25.Solve: 4x + 14 = 3x + 27. What is x?
26. 26.The sum of two consecutive whole numbers is 11. What is the largest of them?
27. 27.The sum of four consecutive whole numbers is 74. What is the largest of them?
28. 28.Solve: 9x + 16 = 3x + 40. What is x?
29. 29.Solve: m/2 + m/5 = 49. What is m?
30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
31. 31.Solve: 7x + 7 = 2x + 57. What is x?
32. 32.A father is 22 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?
33. 33.Solve: 4(m − 2) = m + 19. What is m?
34. 34.The sum of two consecutive whole numbers is 61. What is the smallest of them?
35. 35.Solve: 9y + 8 = 6y + 44. What is y?
36. 36.Solve: p/4 + p/3 = 49. What is p?
37. 37.Solve: 4m + 4 = m + 10. What is m?
38. 38.The sum of three consecutive whole numbers is 159. What is the largest of them?
39. 39.A father is 24 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?
40. 40.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?

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