Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 309 · 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 11. What is the largest of them?
2. 2.Solve: 6(y − 2) = 2y + 44. What is y?
3. 3.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
6. 6.Solve: 3(m − 2) = 2m + 8. What is m?
7. 7.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
8. 8.Solve: 6(m − 1) = m + 14. What is m?
9. 9.Solve: m/6 + m/3 = 21. What is m?
10. 10.The sum of three consecutive whole numbers is 144. What is the largest of them?
11. 11.Solve: 3(n − 4) = 2n + 11. What is n?
12. 12.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 8x + 6 = 2x + 84. What is x?
14. 14.Solve: 4(y − 2) = 2y + 16. What is y?
15. 15.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
16. 16.Solve: 3(n − 1) = 2n + 11. What is n?
17. 17.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
18. 18.The sum of four consecutive whole numbers is 126. What is the smallest of them?
19. 19.Solve: 4(m − 4) = m + 26. What is m?
20. 20.Solve: y/4 + y/3 = 35. What is y?
21. 21.The sum of four consecutive whole numbers is 210. What is the smallest of them?
22. 22.Solve: 4(n − 1) = n + 17. What is n?
23. 23.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: 3(x − 4) = 2x + 8. What is x?
25. 25.Solve: 5(x − 3) = 3x + 3. What is x?
26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
27. 27.Solve: 4(n − 4) = 3n + 2. What is n?
28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
29. 29.The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
30. 30.Solve: 5(n − 1) = n + 51. What is n?
31. 31.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
32. 32.Solve: 3x + 6 = x + 22. What is x?
33. 33.The sum of two consecutive whole numbers is 21. What is the smallest of them?
34. 34.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
37. 37.A father is 18 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?
38. 38.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?
39. 39.Solve: 6t + 2 = 4t + 10. What is t?
40. 40.Solve: 4(t − 3) = t + 12. What is t?

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