ICET Mathematical Ability - Algebra 2 — Questions and Answers
Question 1: If 3x − 2y = 8 and x + y = 6, what is the value of x?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Substituting y = 6 − x into the first equation: 3x − 2(6 − x) = 8 → 5x = 20 → x = 4.
Question 2: What is the value of x if 4(x − 2) = 2(x + 6)?
- 6
- 8
- 10 (Correct answer)
- 12
Correct answer: 10
4x − 8 = 2x + 12 → 2x = 20 → x = 10.
Question 3: If a = 2 and b = −3, what is the value of a³ − b²?
- −1 (Correct answer)
- 1
- 17
- −17
Correct answer: −1
a³ − b² = 8 − 9 = −1.
Question 4: The product of two consecutive positive integers is 56. What is the smaller integer?
- 6
- 7 (Correct answer)
- 8
- 9
Correct answer: 7
7 × 8 = 56, so the smaller integer is 7.
Question 5: If f(x) = 2x² + 3x − 5, what is f(2)?
- 7
- 9 (Correct answer)
- 11
- 13
Correct answer: 9
f(2) = 2(4) + 3(2) − 5 = 8 + 6 − 5 = 9.
Question 6: What is the value of x in the proportion: 3/x = 12/20?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
Cross-multiplying: 3 × 20 = 12x → 60 = 12x → x = 5.
ICET Mathematical Ability - Algebra 2
If 3x − 2y = 8 and x + y = 6, what is the value of x?