MDTP Algebra

Question 1

Solve for x: 3x - 7 = 14

Accepted Answer

x = 7

Answer

Adding 7 to both sides gives 3x = 21, then dividing by 3 gives x = 7.

Question 2

Which of the following is equivalent to 2(x + 4) - 3x?

Accepted Answer

-x + 8

Answer

Distributing gives 2x + 8 - 3x, which simplifies to -x + 8.

Question 3

If f(x) = 2x² - 5, what is f(3)?

Accepted Answer

13

Answer

f(3) = 2(3)² - 5 = 2(9) - 5 = 18 - 5 = 13.

Question 4

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 5

Factor completely: x² - 9

Accepted Answer

(x - 3)(x + 3)

Answer

x² - 9 is a difference of squares, equal to (x - 3)(x + 3).

MDTP - Mathematics Diagnostic Testing Project Practice Test