Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 632 · 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 length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
2. 2.Solve: 3(t − 2) = t + 10. What is t?
3. 3.Solve: 3p + 5 = 2p + 17. What is p?
4. 4.Solve: 6(x − 2) = 5x + 4. What is x?
5. 5.The sum of two consecutive whole numbers is 79. What is the smallest of them?
6. 6.Solve: x/2 + x/3 = 15. What is x?
7. 7.Solve: 8x + 5 = 3x + 50. What is x?
8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
9. 9.Solve: 6(m − 2) = 3m + 6. What is m?
10. 10.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
11. 11.The sum of four consecutive whole numbers is 102. What is the largest of them?
12. 12.A father is 27 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?
13. 13.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
14. 14.Solve: 4(p − 3) = 2p + 22. What is p?
15. 15.A father is 16 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?
16. 16.The sum of three consecutive whole numbers is 183. What is the smallest of them?
17. 17.Solve: t/3 + t/6 = 3. What is t?
18. 18.The sum of three consecutive whole numbers is 129. What is the smallest of them?
19. 19.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?
20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
21. 21.Solve: 5(p − 2) = 4p + 7. What is p?
22. 22.Solve: 6(x − 5) = 3x + 30. What is x?
23. 23.The sum of two consecutive whole numbers is 113. What is the smallest of them?
24. 24.The sum of two consecutive whole numbers is 11. What is the largest of them?
25. 25.Solve: 3(x − 2) = x + 10. What is x?
26. 26.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
27. 27.Solve: 3(m − 3) = 2m + 12. What is m?
28. 28.Solve: p/3 + p/5 = 48. What is p?
29. 29.The sum of four consecutive whole numbers is 190. What is the smallest of them?
30. 30.The sum of two consecutive whole numbers is 81. What is the largest of them?
31. 31.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
32. 32.A father is 20 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?
33. 33.Solve: 8t + 15 = 2t + 99. What is t?
34. 34.Solve: 4p + 12 = p + 57. What is p?
35. 35.A father is 24 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?
36. 36.A father is 16 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?
37. 37.Solve: 5t + 5 = 4t + 11. What is t?
38. 38.Solve: 3(x − 2) = 2x + 10. What is x?
39. 39.Solve: 6(y − 3) = 2y + 38. What is y?
40. 40.Solve: 3(m − 2) = m + 10. What is m?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets