MPT Technical Foundations 3

Question 1

What is the GCF of 36 and 60?

Accepted Answer

12

Answer

The greatest common factor of 36 and 60 is 12.

Question 2

Solve for x: x² − 9 = 0

Accepted Answer

x = ±3

Answer

x² = 9 gives x = ±3 (both positive and negative roots).

Question 3

Which expression is equivalent to (a + b)²?

Accepted Answer

a² + 2ab + b²

Answer

Expanding (a+b)² using FOIL gives a² + 2ab + b².

Question 4

Convert 0.375 to a fraction in lowest terms.

Accepted Answer

3/8

Answer

0.375 = 375/1000 = 3/8 after dividing numerator and denominator by 125.

Question 5

What is the LCM of 8 and 12?

Accepted Answer

24

Answer

The smallest number divisible by both 8 and 12 is 24.

(MPT) UCF Math Placement Test Practice Test