Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 580 · 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 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
2. 2.The sum of two consecutive whole numbers is 111. What is the largest of them?
3. 3.Solve: x/4 + x/2 = 21. What is x?
4. 4.Solve: m/4 + m/6 = 5. What is m?
5. 5.Solve: t/3 + t/2 = 40. What is t?
6. 6.Solve: 6(m − 5) = 3m + 12. What is m?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
8. 8.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
9. 9.Solve: 5(m − 3) = 3m + 7. What is m?
10. 10.A father is 16 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?
11. 11.Solve: 3p + 3 = p + 7. What is p?
12. 12.Solve: 4(n − 5) = 3n + 4. What is n?
13. 13.Solve: 6(m − 3) = 5m + 6. What is m?
14. 14.Solve: 5(m − 2) = m + 18. What is m?
15. 15.The sum of two consecutive whole numbers is 61. What is the largest of them?
16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
17. 17.A father is 36 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?
18. 18.Solve: 5(t − 2) = 2t + 32. What is t?
19. 19.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?
20. 20.The sum of two consecutive whole numbers is 23. What is the smallest of them?
21. 21.The sum of four consecutive whole numbers is 190. What is the largest of them?
22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
23. 23.Solve: p/2 + p/4 = 18. What is p?
24. 24.Solve: y/5 + y/3 = 64. What is y?
25. 25.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
26. 26.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
27. 27.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?
28. 28.The sum of three consecutive whole numbers is 54. What is the smallest of them?
29. 29.Solve: p/2 + p/6 = 4. What is p?
30. 30.A father is 60 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?
31. 31.The sum of two consecutive whole numbers is 93. What is the largest of them?
32. 32.Solve: 5t + 20 = 4t + 31. What is t?
33. 33.Solve: 6(t − 5) = 4t + 4. What is t?
34. 34.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
35. 35.The sum of three consecutive whole numbers is 51. What is the smallest of them?
36. 36.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?
37. 37.Solve: 5p + 14 = 3p + 36. What is p?
38. 38.Solve: n/3 + n/5 = 16. What is n?
39. 39.Solve: 6x + 18 = 5x + 30. What is x?
40. 40.Solve: 3p + 19 = 2p + 32. What is p?

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