Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 981 · 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 113. What is the smallest of them?
2. 2.A father is 32 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?
3. 3.Solve: 3(n − 1) = n + 23. What is n?
4. 4.Solve: 5(y − 1) = 4y + 10. What is y?
5. 5.Solve: 4(t − 5) = 2t + 26. What is t?
6. 6.A father is 54 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?
7. 7.Solve: t/4 + t/6 = 20. What is t?
8. 8.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
9. 9.Solve: 3(p − 1) = 2p + 4. What is p?
10. 10.The sum of two consecutive whole numbers is 103. What is the smallest of them?
11. 11.Solve: 3x + 6 = 2x + 19. What is x?
12. 12.Solve: 3(n − 5) = n + 19. What is n?
13. 13.Solve: 4(t − 4) = 3t + 11. What is t?
14. 14.The sum of two consecutive whole numbers is 41. What is the largest of them?
15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
16. 16.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
17. 17.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
18. 18.Solve: n/2 + n/3 = 40. What is n?
19. 19.A father is 12 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.A father is 21 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?
21. 21.The sum of three consecutive whole numbers is 141. What is the largest of them?
22. 22.A father is 24 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?
23. 23.The sum of four consecutive whole numbers is 206. What is the smallest of them?
24. 24.Solve: 3(t − 4) = t + 14. What is t?
25. 25.Solve: p/4 + p/3 = 35. What is p?
26. 26.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
27. 27.The sum of two consecutive whole numbers is 107. What is the largest of them?
28. 28.Solve: 4n + 11 = n + 32. What is n?
29. 29.Solve: m/2 + m/5 = 42. What is m?
30. 30.Solve: 5(m − 5) = 2m + 11. What is m?
31. 31.Solve: 5(x − 3) = 3x + 17. What is x?
32. 32.Solve: 4(m − 5) = m + 19. What is m?
33. 33.The sum of four consecutive whole numbers is 174. What is the largest of them?
34. 34.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?
35. 35.The sum of three consecutive whole numbers is 165. What is the largest of them?
36. 36.A father is 21 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?
37. 37.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: 8n + 1 = 2n + 31. What is n?
39. 39.A father is 26 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?
40. 40.Solve: 5(y − 4) = 2y + 25. What is y?

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