Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 765 · 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 79. What is the smallest of them?
2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
3. 3.The sum of three consecutive whole numbers is 90. What is the largest of them?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
5. 5.Solve: p/2 + p/4 = 18. What is p?
6. 6.Solve: 5(p − 3) = p + 5. What is p?
7. 7.Solve: m/2 + m/4 = 15. What is m?
8. 8.A father is 34 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?
9. 9.The sum of two consecutive whole numbers is 25. What is the smallest of them?
10. 10.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: 5(m − 5) = 4m + 11. What is m?
12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
14. 14.Solve: 3m + 14 = m + 34. What is m?
15. 15.The length of a rectangle is 7 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
16. 16.Solve: 6(x − 3) = 2x + 18. What is x?
17. 17.The sum of two consecutive whole numbers is 97. What is the smallest of them?
18. 18.The sum of two consecutive whole numbers is 41. What is the largest of them?
19. 19.Solve: 6(x − 5) = 2x + 42. What is x?
20. 20.A father is 20 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?
21. 21.Solve: t/4 + t/2 = 21. What is t?
22. 22.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: 9p + 16 = 2p + 100. What is p?
24. 24.Solve: y/2 + y/3 = 5. What is y?
25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
26. 26.Solve: 3x + 12 = x + 20. What is x?
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
28. 28.Solve: 6(y − 3) = 2y + 2. What is y?
29. 29.Solve: 3x + 20 = x + 28. What is x?
30. 30.A father is 8 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
31. 31.The sum of two consecutive whole numbers is 115. What is the smallest of them?
32. 32.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
33. 33.The sum of three consecutive whole numbers is 78. What is the smallest of them?
34. 34.A father is 20 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?
35. 35.Solve: 5t + 3 = 3t + 25. What is t?
36. 36.Solve: 3n + 12 = n + 34. What is n?
37. 37.The sum of three consecutive whole numbers is 69. What is the largest of them?
38. 38.Solve: t/3 + t/4 = 14. What is t?
39. 39.The sum of two consecutive whole numbers is 75. What is the smallest of them?
40. 40.Solve: 3t + 8 = t + 22. What is t?

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