Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 615 · 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 sum of four consecutive whole numbers is 90. What is the largest of them?
2. 2.Solve: 4(x − 4) = 3x + 1. What is x?
3. 3.Solve: 3t + 3 = t + 5. What is t?
4. 4.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
5. 5.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
6. 6.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
7. 7.Solve: 3(m − 2) = m + 20. What is m?
8. 8.The sum of three consecutive whole numbers is 90. What is the largest of them?
9. 9.A father is 51 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?
10. 10.Solve: 7p + 4 = p + 16. What is p?
11. 11.A father is 15 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: p/2 + p/5 = 35. What is p?
13. 13.Solve: 6(p − 5) = 2p + 2. What is p?
14. 14.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: 6t + 19 = 5t + 21. What is t?
16. 16.Solve: 8t + 12 = 7t + 24. What is t?
17. 17.Solve: t/2 + t/4 = 24. What is t?
18. 18.A father is 54 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?
19. 19.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
20. 20.A father is 36 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
21. 21.Solve: 6(t − 5) = 5t + 1. What is t?
22. 22.Solve: n/3 + n/5 = 24. What is n?
23. 23.Solve: p/5 + p/3 = 24. What is p?
24. 24.Solve: 4(t − 5) = 3t + 9. What is t?
25. 25.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
27. 27.The sum of four consecutive whole numbers is 210. What is the smallest of them?
28. 28.Solve: 3(p − 1) = 2p + 6. What is p?
29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
30. 30.Solve: 8x + 1 = x + 99. What is x?
31. 31.A father is 10 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?
32. 32.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
33. 33.Solve: 4(x − 1) = 3x + 4. What is x?
34. 34.Solve: 7y + 1 = 5y + 7. What is y?
35. 35.Solve: 3(t − 2) = 2t + 5. What is t?
36. 36.Solve: 6x + 3 = x + 13. What is x?
37. 37.Solve: n/2 + n/5 = 49. What is n?
38. 38.A father is 24 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?
39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
40. 40.Solve: 4m + 6 = 2m + 24. What is m?

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