Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 611 · 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 117. What is the smallest of them?
2. 2.A father is 32 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?
3. 3.Solve: x/6 + x/3 = 18. What is x?
4. 4.The sum of two consecutive whole numbers is 27. What is the smallest of them?
5. 5.A father is 24 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?
6. 6.The sum of two consecutive whole numbers is 81. What is the smallest of them?
7. 7.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
8. 8.The sum of four consecutive whole numbers is 94. What is the smallest of them?
9. 9.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
10. 10.Solve: t/5 + t/2 = 21. What is t?
11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
12. 12.Solve: 4n + 13 = n + 43. What is n?
13. 13.Solve: 6(p − 1) = 3p + 3. What is p?
14. 14.The sum of two consecutive whole numbers is 59. What is the smallest of them?
15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
17. 17.The sum of three consecutive whole numbers is 24. What is the largest of them?
18. 18.Solve: n/4 + n/3 = 28. What is n?
19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
20. 20.The sum of four consecutive whole numbers is 66. What is the smallest of them?
21. 21.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: 3(t − 1) = t + 13. What is t?
23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
24. 24.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
25. 25.Solve: 5(p − 3) = p + 9. What is p?
26. 26.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?
27. 27.A father is 10 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?
28. 28.Solve: p/3 + p/2 = 40. What is p?
29. 29.Solve: 6(x − 4) = 5x + 10. What is x?
30. 30.Solve: 6t + 12 = 2t + 40. What is t?
31. 31.Solve: 9t + 15 = 8t + 20. What is t?
32. 32.Solve: 8p + 4 = 3p + 34. What is p?
33. 33.Solve: 9t + 11 = t + 99. What is t?
34. 34.A father is 36 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?
35. 35.Solve: 4(n − 4) = n + 14. What is n?
36. 36.Solve: 3n + 19 = 2n + 21. What is n?
37. 37.Solve: 8m + 1 = 7m + 7. What is m?
38. 38.Solve: 3(m − 2) = m + 18. What is m?
39. 39.The sum of two consecutive whole numbers is 47. What is the largest of them?
40. 40.The sum of three consecutive whole numbers is 126. What is the smallest of them?

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