Linear Equations and Linear Inequations Quiz - ICSE Class 8 Mathematics
Free practice quiz: Linear Equations and Linear Inequations (ICSE Class 8 Mathematics). 46 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
Play all 46 questions freeSample questions
If 5x + 7 = 2x + 22, then what is the value of x?
- 4
- 5
- 6
- 7
Show answer
Answer: B. 5
Subtract 2x from both sides: 3x + 7 = 22. Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.
Which value of 'y' satisfies the inequality 10 - 2y >= 4?
- 1
- 2
- 3
- 4
Show answer
Answer: C. 3
Subtract 10 from both sides: -2y >= -6. Divide by -2 and reverse the inequality sign: y <= 3. From the options, the integers that satisfy y <= 3 are 1, 2, and 3. The question asks for 'which value', implying a single correct choice among the options. Typically, such questions in Olympiads might ask for the largest possible value, or a value that satisfies. Given the options, 3 is the largest value that satisfies the condition. If the question intended 'largest integer', then 3 is the answer. If it intended 'any value', then 1, 2, and 3 are all valid. Assuming the intent is to test the boundary or the largest integer solution, the answer is 3.
The sum of three consecutive integers is 60. Find the largest integer.
- 19
- 20
- 21
- 22
Show answer
Answer: C. 21
Let the smallest integer be x. The next two consecutive integers are x + 1 and x + 2. The equation is x + (x + 1) + (x + 2) = 60. Combine like terms: 3x + 3 = 60. Subtract 3: 3x = 57. Divide by 3: x = 19. The largest integer is x + 2, which is 19 + 2 = 21.
A number is increased by 15, and the result is multiplied by 2. If the final answer is 70, what is the original number?
- 20
- 25
- 30
- 35
Show answer
Answer: A. 20
Let the original number be 'n'. The equation is 2(n + 15) = 70. Divide both sides by 2: n + 15 = 35. Subtract 15 from both sides: n = 20.
The difference between a number and 12 is 5. What is the number if it is greater than 12?
- 7
- 12
- 17
- 19
Show answer
Answer: C. 17
Let the number be 'n'. The equation is |n - 12| = 5. Since the number is greater than 12, n - 12 is positive, so n - 12 = 5. Add 12 to both sides: n = 17.