Linear equations in one variable Quiz - ICSE Class 7 Mathematics

Free practice quiz: Linear equations in one variable (ICSE Class 7 Mathematics). 59 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 59 multiple-choice questions on Linear equations in one variable, and 59 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. If 3x + 5 = 20, what is the value of x?

   1. 5
   2. 6
   3. 7
   4. 8
   Show answer

   Answer: A. 5

   To find x, subtract 5 from both sides of the equation: 3x = 20 - 5. This gives 3x = 15. Then, divide both sides by 3: x = 15 / 3, which equals 5.

2. If 7x - 3 = 4x + 9, what is the value of x?

   1. 3
   2. 4
   3. 5
   4. 6
   Show answer

   Answer: B. 4

   Subtract 4x from both sides: 7x - 4x - 3 = 9, so 3x - 3 = 9. Add 3 to both sides: 3x = 9 + 3, which means 3x = 12. Divide by 3: x = 12 / 3, so x = 4.

3. The difference between twice a number and 5 is equal to the number increased by 3. Find the number.

   1. 7
   2. 8
   3. 9
   4. 10
   Show answer

   Answer: B. 8

   Let the number be 'x'. The equation is 2x - 5 = x + 3. Subtract x from both sides: 2x - x - 5 = 3, so x - 5 = 3. Add 5 to both sides: x = 3 + 5, which is 8.

4. If 3/5 of a number is 21, what is the number?

   1. 30
   2. 32
   3. 35
   4. 38
   Show answer

   Answer: C. 35

   Let the number be 'z'. The equation is (3/5)z = 21. Multiply both sides by the reciprocal of 3/5, which is 5/3: z = 21 * (5/3). This calculates to z = 105/3, so z = 35.

5. If 20 is subtracted from twice a number, the result is 10. Find the number.

   1. 10
   2. 15
   3. 20
   4. 25
   Show answer

   Answer: B. 15

   Let the number be 'x'. The equation is 2x - 20 = 10. Add 20 to both sides: 2x = 10 + 20, so 2x = 30. Divide by 2: x = 30 / 2, which is 15.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Solve for y: 2(y - 3) = 10
2. What is the value of m if 5m - 7 = 3m + 9?
3. If the sum of a number and 15 is 32, what is the number?
4. The difference between twice a number and 11 is 19. Find the number.
5. If one-third of a number is 9, what is the number?
6. Solve for k: 4k + 7 = 2k + 15
7. A number when multiplied by 6 and then decreased by 8 equals 22. Find the number.
8. If 2/5 of a number is 10, what is the number?
9. What is the value of p if p/4 + 3 = 7?
10. The sum of three consecutive integers is 51. Find the smallest integer.
11. A number is divided by 5 and then 6 is added to the result, giving 11. Find the number.
12. Solve for a: 3(a + 2) = 18
13. If 9 is subtracted from a number, the result is 23. What is the number?
14. The product of 4 and a number is equal to 16 more than the number. Find the number.
15. If a number is multiplied by 5 and then 7 is subtracted, the result is 18. What is the number?
16. Solve for b: 9b - 5 = 6b + 10
17. The sum of two numbers is 45. One number is 5 more than the other. Find the smaller number.
18. If 3/4 of a number is 18, what is the number?
19. Solve for x: 2(x + 5) - 3 = 19
20. A number is increased by 10 and the result is multiplied by 3, giving 75. Find the number.
21. What is the value of n if 11n + 12 = 7n + 28?
22. If 5 is added to one-fifth of a number, the result is 7. Find the number.
23. Solve for x: 6x + 7 = 3x + 19
24. A number is decreased by 9 and then multiplied by 2, resulting in 24. Find the number.
25. What is the value of y if 10y - 15 = 6y + 5?
26. The sum of three consecutive even integers is 72. Find the largest integer.
27. If 2/3 of a number is 14, what is the number?
28. Solve for m: 5(m - 3) = 20
29. A number when added to 12 and then divided by 4 gives 8. Find the number.
30. If 15 is subtracted from three times a number, the result is 30. Find the number.
31. Solve for p: 8p + 3 = 5p + 15
32. The sum of a number and twice the number is 51. Find the number.
33. Solve for x: 4(2x - 1) = 28
34. A number is multiplied by 7 and then 5 is added, giving 47. Find the number.
35. What is the value of k if 13k + 10 = 9k + 22?
36. The sum of two consecutive numbers is 35. Find the larger number.
37. If 1/4 of a number is 7, what is the number?
38. Solve for x: 3(x + 4) - 5 = 16
39. A number is increased by 8 and the result is multiplied by 3, giving 57. Find the number.
40. What is the value of y if 12y + 5 = 8y + 17?
41. The sum of three consecutive odd integers is 75. Find the middle integer.
42. If 5/6 of a number is 30, what is the number?
43. Solve for x: 7(x + 1) = 49
44. Solve for n: 14n + 8 = 10n + 24
45. The sum of two consecutive multiples of 5 is 105. Find the smaller multiple.
46. If 7/8 of a number is 21, what is the number?
47. Solve for x: 5(3x - 2) = 35
48. A number is multiplied by 6 and then 7 is subtracted, giving 29. Find the number.
49. What is the value of k if 15k + 12 = 11k + 24?
50. The sum of two consecutive odd integers is 84. Find the larger integer.
51. If 1/3 of a number is 9, what is the number?
52. Solve for x: 4(x + 2) = 24
53. A number is multiplied by 5 and then 3 is added, giving 33. Find the number.
54. What is the value of n if 9n + 15 = 7n + 25?

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