PSAT/NMSQT Algebra & Functions 2

Question 1

If 3x - 7 = 11, what is the value of x?

Accepted Answer

6

Answer

Add 7 to both sides to get 3x = 18, then divide by 3 to get x = 6.

Question 2

What is the slope of the line passing through the points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 - 3)/(6 - 2) = 8/4 = 2.

Question 3

If f(x) = 2x^2 - 3, what is f(4)?

Accepted Answer

29

Answer

f(4) = 2(16) - 3 = 32 - 3 = 29.

Question 4

Which expression is equivalent to 4(x + 3) - 2x?

Accepted Answer

2x + 12

Answer

Distribute to get 4x + 12 - 2x, which simplifies to 2x + 12.

Question 5

If 5x + 2y = 20 and x = 2, what is the value of y?

Accepted Answer

5

Answer

Substitute x = 2 to get 10 + 2y = 20, so 2y = 10 and y = 5.

PSAT/NMSQT Practice Test