ICET Mathematical Ability - Algebra 1

Question 1

If 2x + 3 = 11, what is the value of x?

Accepted Answer

4

Answer

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?

Accepted Answer

12

Answer

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?

Accepted Answer

2 and 3

Answer

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?

Accepted Answer

49

Answer

(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?

Accepted Answer

16

Answer

12/y = 3/4, so y = (12 × 4)/3 = 16.

ICET - Integrated Common Entrance Test Practice Test