PSAT/NMSQT Math: Heart of Algebra 2

Question 1

If 5x - 3 = 2x + 12, what is the value of x?

Accepted Answer

5

Answer

Subtract 2x and add 3: 3x = 15, so x = 5.

Question 2

A line has slope 2 and passes through (0, -4). What is its equation?

Accepted Answer

y = 2x - 4

Answer

With slope 2 and y-intercept -4, the line is y = 2x - 4.

Question 3

What is the solution to the system y = x + 1 and y = 3x - 5?

Accepted Answer

(3, 4)

Answer

Set x + 1 = 3x - 5, giving 2x = 6, x = 3, y = 4.

Question 4

If 3(x - 2) = 18, what is x?

Accepted Answer

8

Answer

Divide by 3 to get x - 2 = 6, so x = 8.

Question 5

A taxi charges $3 plus $2 per mile. Which expression gives the cost for m miles?

Accepted Answer

3 + 2m

Answer

The flat fee is $3 plus $2 times the number of miles m.

PSAT/NMSQT Practice Test