MPT Algebra 2

Question 1

Solve for x: 3(2x - 4) = 2(x + 6)

Accepted Answer

x = 6

Answer

Expanding gives 6x - 12 = 2x + 12, so 4x = 24 and x = 6.

Question 2

Which of the following is a factor of x² - 7x + 12?

Accepted Answer

(x - 3)

Answer

x² - 7x + 12 = (x - 3)(x - 4), so (x - 3) is a factor.

Question 3

If f(x) = 2x² - 3x + 1, what is f(-2)?

Accepted Answer

15

Answer

f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

Question 4

What is the slope of the line passing through (1, 3) and (4, 9)?

Accepted Answer

2

Answer

Slope = (9 - 3)/(4 - 1) = 6/3 = 2.

Question 5

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients (3·4 = 12) and add exponents: x^(2+1) = x³ and y^(1+3) = y⁴.

(MPT) UCF Math Placement Test Practice Test