Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 250 · 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 + 3 = n + 33. What is n?
2. 2.Solve: p/2 + p/3 = 20. What is p?
3. 3.Solve: 7t + 3 = 6t + 15. What is t?
4. 4.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: x/5 + x/4 = 45. What is x?
6. 6.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
9. 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
10. 10.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
11. 11.Solve: 5x + 15 = 2x + 51. What is x?
12. 12.Solve: t/5 + t/2 = 14. What is t?
13. 13.Solve: 5t + 9 = 3t + 35. What is t?
14. 14.Solve: y/3 + y/4 = 35. What is y?
15. 15.Solve: x/4 + x/5 = 9. What is x?
16. 16.The sum of three consecutive whole numbers is 78. What is the largest of them?
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
18. 18.Solve: p/5 + p/3 = 8. What is p?
19. 19.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
20. 20.The sum of two consecutive whole numbers is 97. What is the largest of them?
21. 21.Solve: t/3 + t/4 = 14. What is t?
22. 22.The sum of two consecutive whole numbers is 99. What is the largest of them?
23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
24. 24.The sum of three consecutive whole numbers is 180. What is the largest of them?
25. 25.Solve: p/5 + p/6 = 22. What is p?
26. 26.Solve: 3(y − 1) = 2y + 6. What is y?
27. 27.Solve: 3(m − 1) = m + 15. What is m?
28. 28.Solve: 4(y − 5) = y + 28. What is y?
29. 29.The sum of four consecutive whole numbers is 90. What is the largest of them?
30. 30.A father is 40 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?
31. 31.Solve: 5x + 2 = 2x + 35. What is x?
32. 32.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
33. 33.A father is 21 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?
34. 34.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
35. 35.A father is 22 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?
36. 36.The sum of four consecutive whole numbers is 134. What is the smallest of them?
37. 37.A father is 20 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?
38. 38.Solve: m/2 + m/4 = 12. What is m?
39. 39.Solve: t/3 + t/4 = 28. What is t?
40. 40.Solve: 4(y − 1) = y + 8. What is y?

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