Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 748 · 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(m − 5) = 3m + 1. What is m?
2. 2.Solve: 3t + 12 = t + 34. What is t?
3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
4. 4.Solve: p/2 + p/3 = 15. What is p?
5. 5.The sum of four consecutive whole numbers is 210. What is the smallest of them?
6. 6.Solve: 3(y − 5) = 2y + 13. What is y?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
8. 8.Solve: 4(x − 2) = x + 25. What is x?
9. 9.Solve: 6y + 14 = y + 29. What is y?
10. 10.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?
11. 11.Solve: 4(p − 2) = p + 16. What is p?
12. 12.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
13. 13.Solve: y/2 + y/3 = 25. What is y?
14. 14.Solve: 4(n − 4) = 2n + 14. What is n?
15. 15.The sum of two consecutive whole numbers is 69. What is the smallest of them?
16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
17. 17.A father is 26 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?
18. 18.Solve: 5y + 18 = 3y + 30. What is y?
19. 19.Solve: p/5 + p/4 = 72. What is p?
20. 20.Solve: n/5 + n/2 = 56. What is n?
21. 21.The sum of four consecutive whole numbers is 174. What is the smallest of them?
22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
24. 24.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
25. 25.A father is 12 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
27. 27.Solve: x/4 + x/2 = 12. What is x?
28. 28.Solve: 6p + 2 = 4p + 26. What is p?
29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
30. 30.Solve: 6x + 6 = 4x + 12. What is x?
31. 31.Solve: 4(m − 5) = 3m + 5. What is m?
32. 32.A father is 26 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?
33. 33.Solve: t/3 + t/5 = 32. What is t?
34. 34.Solve: 7x + 4 = 6x + 19. What is x?
35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 6 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
37. 37.The sum of two consecutive whole numbers is 55. What is the smallest of them?
38. 38.Solve: 8y + 1 = 7y + 12. What is y?
39. 39.Solve: x/2 + x/3 = 20. What is x?
40. 40.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?

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