Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 922 · 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 61. What is the largest of them?
2. 2.The sum of four consecutive whole numbers is 130. What is the smallest of them?
3. 3.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
4. 4.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
5. 5.Solve: y/4 + y/6 = 5. What is y?
6. 6.The sum of two consecutive whole numbers is 115. What is the smallest of them?
7. 7.Solve: t/6 + t/3 = 6. What is t?
8. 8.Solve: y/2 + y/5 = 21. What is y?
9. 9.A father is 20 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
10. 10.Solve: 3x + 15 = 2x + 21. What is x?
11. 11.Solve: 6(y − 1) = 2y + 6. What is y?
12. 12.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
13. 13.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
14. 14.Solve: 3(t − 2) = 2t + 2. What is t?
15. 15.The sum of four consecutive whole numbers is 110. What is the smallest of them?
16. 16.Solve: 6t + 8 = 2t + 28. What is t?
17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
18. 18.The sum of two consecutive whole numbers is 35. What is the largest of them?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
20. 20.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
21. 21.Solve: 3n + 8 = 2n + 20. What is n?
22. 22.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?
23. 23.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
24. 24.Solve: 5(x − 4) = 2x + 34. What is x?
25. 25.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
26. 26.Solve: 6(t − 4) = 4t + 6. What is t?
27. 27.Solve: p/6 + p/4 = 10. What is p?
28. 28.Solve: y/3 + y/6 = 18. What is y?
29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
30. 30.A father is 36 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: 6(m − 2) = 2m + 32. What is m?
32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
33. 33.Solve: 7x + 15 = 4x + 42. What is x?
34. 34.Solve: p/4 + p/2 = 9. What is p?
35. 35.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
36. 36.Solve: 4(y − 5) = y + 1. What is y?
37. 37.The sum of three consecutive whole numbers is 183. What is the smallest of them?
38. 38.Solve: 3(m − 1) = 2m + 9. What is m?
39. 39.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
40. 40.The sum of four consecutive whole numbers is 210. What is the smallest of them?

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