Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 888 · 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: 4(t − 2) = 2t + 24. What is t?
2. 2.The sum of four consecutive whole numbers is 106. What is the smallest of them?
3. 3.Solve: y/2 + y/6 = 8. What is y?
4. 4.The sum of four consecutive whole numbers is 26. What is the largest of them?
5. 5.Solve: x/6 + x/3 = 12. What is x?
6. 6.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
7. 7.Solve: 3(n − 5) = n + 9. What is n?
8. 8.Solve: 5(m − 5) = 4m + 1. What is m?
9. 9.Solve: y/2 + y/3 = 10. What is y?
10. 10.The sum of three consecutive whole numbers is 63. What is the smallest of them?
11. 11.Solve: 9y + 12 = 2y + 110. What is y?
12. 12.A father is 28 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?
13. 13.The length of a rectangle is 6 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
15. 15.Solve: 4y + 7 = y + 37. What is y?
16. 16.Solve: 4(y − 3) = 2y + 2. What is y?
17. 17.Solve: 3(m − 1) = 2m + 11. What is m?
18. 18.Solve: 3(p − 1) = 2p + 2. What is p?
19. 19.Solve: 5(p − 4) = p + 36. What is p?
20. 20.The sum of three consecutive whole numbers is 156. What is the smallest of them?
21. 21.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
22. 22.Solve: 6y + 9 = 2y + 41. What is y?
23. 23.A father is 51 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?
24. 24.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
25. 25.Solve: 7p + 1 = p + 79. What is p?
26. 26.A father is 48 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?
27. 27.A father is 28 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?
28. 28.Solve: 8y + 19 = 7y + 26. What is y?
29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
31. 31.The sum of three consecutive whole numbers is 30. What is the largest of them?
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
36. 36.Solve: m/2 + m/4 = 15. What is m?
37. 37.Solve: 3m + 8 = m + 28. What is m?
38. 38.Solve: 3(y − 2) = y + 16. What is y?
39. 39.Solve: x/4 + x/3 = 14. What is x?
40. 40.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?

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