ICET Mathematical Ability - Algebra 1 — Questions and Answers
Question 1: If 2x + 3 = 11, what is the value of x?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
2x = 11 − 3 = 8, so x = 4.
Question 2: The sum of two numbers is 20 and their difference is 4. What is the larger number?
- 10
- 11
- 12 (Correct answer)
- 13
Correct answer: 12
Adding the two equations: 2x = 24, so the larger number x = 12.
Question 3: If x² − 5x + 6 = 0, what are the values of x?
- 2 and 4
- 2 and 3 (Correct answer)
- 3 and 4
- 1 and 6
Correct answer: 2 and 3
Factoring: (x − 2)(x − 3) = 0, so x = 2 or x = 3.
Question 4: What is the value of (a + b)² when a = 3 and b = 4?
- 25
- 49 (Correct answer)
- 50
- 58
Correct answer: 49
(a + b)² = (3 + 4)² = 7² = 49.
Question 5: If the ratio of x to y is 3:4 and x = 12, what is y?
- 14
- 15
- 16 (Correct answer)
- 18
Correct answer: 16
12/y = 3/4, so y = (12 × 4)/3 = 16.
Question 6: Simplify: (x² − 9) ÷ (x − 3)
- x − 3
- x + 3 (Correct answer)
- x² + 3
- x² − 3
Correct answer: x + 3
x² − 9 = (x − 3)(x + 3), so dividing by (x − 3) gives (x + 3).
ICET Mathematical Ability - Algebra 1
If 2x + 3 = 11, what is the value of x?