Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 362 · 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: 5(t − 3) = 3t + 11. What is t?
2. 2.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
3. 3.The sum of three consecutive whole numbers is 93. What is the largest of them?
4. 4.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: 4(n − 5) = 2n + 2. What is n?
6. 6.The sum of two consecutive whole numbers is 91. What is the largest of them?
7. 7.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?
8. 8.Solve: m/2 + m/5 = 28. What is m?
9. 9.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
10. 10.The sum of four consecutive whole numbers is 66. What is the smallest of them?
11. 11.Solve: 5x + 8 = x + 48. What is x?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
13. 13.Solve: 6(m − 2) = 2m + 36. What is m?
14. 14.A father is 24 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?
15. 15.Solve: n/3 + n/5 = 8. What is n?
16. 16.Solve: p/4 + p/3 = 14. What is p?
17. 17.Solve: x/2 + x/3 = 15. What is x?
18. 18.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
19. 19.Solve: 9x + 4 = 5x + 12. What is x?
20. 20.Solve: 4(m − 1) = m + 20. What is m?
21. 21.Solve: m/6 + m/4 = 20. What is m?
22. 22.A father is 60 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
23. 23.Solve: 4t + 17 = 2t + 47. What is t?
24. 24.The sum of two consecutive whole numbers is 47. What is the smallest of them?
25. 25.Solve: 7m + 12 = 2m + 77. What is m?
26. 26.Solve: t/3 + t/6 = 24. What is t?
27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
29. 29.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
30. 30.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
31. 31.The sum of two consecutive whole numbers is 75. What is the smallest of them?
32. 32.Solve: p/2 + p/5 = 21. What is p?
33. 33.Solve: t/3 + t/4 = 21. What is t?
34. 34.The length of a rectangle is 10 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
35. 35.Solve: 3y + 15 = y + 43. What is y?
36. 36.Solve: 8y + 17 = 3y + 52. What is y?
37. 37.The sum of three consecutive whole numbers is 18. What is the largest of them?
38. 38.Solve: 4(t − 1) = 2t + 14. What is t?
39. 39.Solve: 8p + 8 = 5p + 38. What is p?
40. 40.Solve: 3y + 15 = 2y + 19. What is y?

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