FREE PSSA Mathematics Questions and Answers

Question 1

Mary was three times as old as Mark was five years ago. If Mark is 10 years old now, how old is Mary?

Accepted Answer

20

Answer

25

Answer

15

Answer

10

Question 2

How long was your nap on Tuesday if you napped 1 1/6 hours on Monday and 2 1/2 times as long on Tuesday?

Accepted Answer

2 11/12 hours

Answer

1 1/2 hours

Answer

2 1/2 hours

Answer

2 1/12 hours

Question 3

Which of the following best describes a linear equation with steps starting at 5 and increasing by 8?

Accepted Answer

y = 8x + 5

Answer

y = -5x + 8

Answer

y = 5x + 8

Answer

5x + y = 8

Question 4

ABC Car Rentals charges $100 upfront, plus 10 cents per mile.
Orange Car Rentals charges 25 cents per mile with no upfront fee.

Which of the following best represents the situation If TC represents the total cost for the car, and N represents the number of miles?

Accepted Answer

TC = 100 + 0.10n
TC = 0.25n

Answer

TC = 100 - 0.10n
TC = 0.25 - n

Answer

TC = 100 + 0.10 / n
TC = 0.25 / n

Answer

n = 100 + 0.10 / TC
n = 0.25 / TC

Question 5

Using a substitution method to solve this system of equations, which of the following is a valid first step?

2x - y = 7
x = 2y - 1

Accepted Answer

2(2y - 1)- y = 7

Answer

x= 2(2x-y) - 1

Answer

2x - (2y - 1) = 7

Answer

2x-y = 2y - 1

Question 6

Which of the following points is included in the graph of f(x) = 2x - 2?

Accepted Answer

(3, 4)

Answer

(-3, -4)

Answer

(-4, 3)

Answer

(4,-3)

Question 7

Solve for the value of X:
8x - 7 = 5x + 8

Accepted Answer

5

Answer

-5

Answer

-3

Answer

-1/3

Question 8

Which of the following statements would an inequality represent?

Accepted Answer

You have to be at least four feet tall to ride the roller coaster.

Answer

Each ticket for the concert is $75.

Answer

It is a 12-foot-long fence.

Answer

It takes precisely four hours to roast the turkey.

Question 9

A math teacher goes shopping and sets his budget using the following:
{x | x > 50 and x < 75} where x is the amount he will spend.

Which of the following is within his budget?

Accepted Answer

$55

Answer

$40

Answer

$45

Answer

$75

Question 10

When resolving a 1-variable absolute value inequality, which rule should you remember?

Accepted Answer

When undoing an absolute value, you must flip the inequality symbol on the negative solution.

Answer

You have to invert the inequality symbol on the positive solution in order to undo an absolute value.

Answer

You must flip the inequality symbol for one of them but leave the other two positive in order to undo an absolute value.

Answer

The inequality symbol needs to be reversed when dividing or multiplying both sides by a negative value.