Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 168 · 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 two consecutive whole numbers is 73. What is the largest of them?
2. 2.Solve: n/2 + n/3 = 25. What is n?
3. 3.Solve: n/3 + n/2 = 25. What is n?
4. 4.Solve: 4y + 6 = y + 9. What is y?
5. 5.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: 5(t − 1) = t + 11. What is t?
7. 7.Solve: y/6 + y/4 = 25. What is y?
8. 8.Solve: 4(p − 3) = 2p + 20. What is p?
9. 9.Solve: 6(m − 4) = 4m + 20. What is m?
10. 10.The sum of two consecutive whole numbers is 37. What is the smallest of them?
11. 11.Solve: 5n + 1 = n + 25. What is n?
12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
14. 14.Solve: 3p + 20 = p + 26. What is p?
15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
16. 16.Solve: m/6 + m/4 = 40. What is m?
17. 17.Solve: y/3 + y/2 = 30. What is y?
18. 18.A father is 18 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?
19. 19.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
20. 20.Solve: 6(x − 2) = 5x + 13. What is x?
21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
22. 22.The sum of two consecutive whole numbers is 47. What is the largest of them?
23. 23.Solve: 3(p − 1) = 2p + 11. What is p?
24. 24.The length of a rectangle is 2 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
25. 25.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?
26. 26.A father is 26 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?
27. 27.Solve: 3x + 8 = 2x + 16. What is x?
28. 28.Solve: t/5 + t/4 = 27. What is t?
29. 29.Solve: 3(t − 2) = 2t + 3. What is t?
30. 30.Solve: 5(p − 1) = 2p + 1. What is p?
31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
32. 32.Solve: x/6 + x/4 = 20. What is x?
33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
34. 34.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
35. 35.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
36. 36.Solve: 7y + 15 = 5y + 37. What is y?
37. 37.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: p/2 + p/5 = 35. What is p?
39. 39.The length of a rectangle is 9 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
40. 40.Solve: t/4 + t/2 = 18. What is t?

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