ICET Mathematical Ability - Algebra 2

Question 1

If 3x − 2y = 8 and x + y = 6, what is the value of x?

Accepted Answer

4

Answer

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)?

Accepted Answer

10

Answer

4x − 8 = 2x + 12 → 2x = 20 → x = 10.

Question 3

If a = 2 and b = −3, what is the value of a³ − b²?

Accepted Answer

−1

Answer

a³ − b² = 8 − 9 = −1.

Question 4

The product of two consecutive positive integers is 56. What is the smaller integer?

Accepted Answer

7

Answer

7 × 8 = 56, so the smaller integer is 7.

Question 5

If f(x) = 2x² + 3x − 5, what is f(2)?

Accepted Answer

9

Answer

f(2) = 2(4) + 3(2) − 5 = 8 + 6 − 5 = 9.

ICET - Integrated Common Entrance Test Practice Test