Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 132 · 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: 3n + 11 = 2n + 14. What is n?
2. 2.Solve: 3(m − 5) = m + 9. What is m?
3. 3.The sum of two consecutive whole numbers is 47. What is the largest of them?
4. 4.Solve: 5(n − 1) = n + 23. What is n?
5. 5.Solve: y/5 + y/3 = 64. What is y?
6. 6.Solve: t/2 + t/4 = 18. What is t?
7. 7.Solve: 5p + 14 = p + 26. What is p?
8. 8.Solve: 5p + 1 = 3p + 15. What is p?
9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
10. 10.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: y/4 + y/6 = 15. What is y?
12. 12.Solve: p/2 + p/6 = 12. What is p?
13. 13.The sum of four consecutive whole numbers is 242. What is the largest of them?
14. 14.Solve: x/4 + x/3 = 7. What is x?
15. 15.The sum of two consecutive whole numbers is 27. What is the smallest of them?
16. 16.Solve: t/4 + t/5 = 36. What is t?
17. 17.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?
18. 18.The sum of two consecutive whole numbers is 101. What is the largest of them?
19. 19.Solve: x/2 + x/5 = 7. What is x?
20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
21. 21.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
22. 22.Solve: 5y + 14 = y + 34. What is y?
23. 23.Solve: 4p + 11 = 3p + 15. What is p?
24. 24.Solve: y/3 + y/6 = 9. What is y?
25. 25.The sum of four consecutive whole numbers is 86. What is the largest of them?
26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
27. 27.Solve: x/4 + x/3 = 21. What is x?
28. 28.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
29. 29.Solve: 5(n − 1) = 3n + 5. What is n?
30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
31. 31.Solve: y/2 + y/3 = 30. What is y?
32. 32.The sum of four consecutive whole numbers is 78. What is the largest of them?
33. 33.Solve: 3x + 18 = 2x + 22. What is x?
34. 34.A father is 45 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?
35. 35.A father is 57 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?
36. 36.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
37. 37.A father is 14 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?
38. 38.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?
39. 39.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
40. 40.Solve: 9m + 14 = m + 110. What is m?

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