Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 485 · 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 three consecutive whole numbers is 81. What is the smallest of them?
2. 2.Solve: 3p + 5 = p + 23. What is p?
3. 3.Solve: m/2 + m/3 = 5. What is m?
4. 4.The sum of four consecutive whole numbers is 118. What is the smallest of them?
5. 5.Solve: 3(t − 1) = 2t + 4. What is t?
6. 6.The sum of four consecutive whole numbers is 194. What is the smallest of them?
7. 7.A father is 45 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?
8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
9. 9.The sum of three consecutive whole numbers is 156. What is the largest of them?
10. 10.A father is 24 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?
11. 11.Solve: 4t + 16 = 2t + 18. What is t?
12. 12.A father is 18 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
15. 15.Solve: 3(n − 5) = 2n + 8. What is n?
16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
18. 18.Solve: 6(n − 3) = 2n + 10. What is n?
19. 19.The sum of two consecutive whole numbers is 39. What is the largest of them?
20. 20.Solve: 5t + 1 = t + 5. What is t?
21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
22. 22.The sum of two consecutive whole numbers is 31. What is the largest of them?
23. 23.Solve: 5(n − 2) = 2n + 35. What is n?
24. 24.A father is 36 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?
25. 25.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
26. 26.The sum of two consecutive whole numbers is 97. What is the largest of them?
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
28. 28.Solve: 4(p − 1) = p + 29. What is p?
29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
30. 30.Solve: 8y + 4 = 4y + 20. What is y?
31. 31.Solve: 5(x − 5) = x + 15. What is x?
32. 32.Solve: y/3 + y/2 = 40. What is y?
33. 33.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
35. 35.Solve: 8x + 15 = 7x + 25. What is x?
36. 36.Solve: 5(x − 2) = 3x + 2. What is x?
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
38. 38.Solve: 5n + 2 = 3n + 30. What is n?
39. 39.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?
40. 40.Solve: 4(y − 1) = y + 35. What is y?

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