Practice Test

• 0

• -18

• -16

• 24

• 54

Answer explanation

A student's GPA is determined by assigning each letter grade a certain number and taking the average of those numbers. If a certain high school determines that A's are worth 4.0, B's are worth 3.0, C's are worth 2.0, D's are worth 1.0, and F's are worth 0 and that a student gets 6 A's, 2 B's, and 2 C's over the entire school year, what is the student's GPA for that year?

• 3.4

• 3.0

• 3.7

• 4.0

• 4.2

Answer explanation

A single shipping truck can transport either a maximum of 500 boxes with a volume of 30 cubic inches each or a maximum of 2 tons of weight. If a customer needs to ship 300 boxes, each with a volume of 30 cubic inches and weighing 6 pounds, how many shipping trucks will they need to use? (Note that 1 ton is equivalent to 2000 pounds)

• A) 1

• B) 2

• C) 5

• D) 10

• E) 150

Answer explanation

1. We need to calculate both the weight and volume of the customer's shipment to see which of the factors is going to limit the number of trucks used.

2. The customer is shipping 300 boxes, so the volume is 300 × 30 = 9000 cubic inches, which is smaller than the truck's capacity of 15000 cubic inches.

3. The weight of the customer's shipment is 300 × 6 = 1800 pounds, which is less than 2 tons, as each ton weighs 2000 pounds.

4. Thus, there is only one shipping truck required for this order.

If x and y are both real numbers, which of the following is equivalent to (2x + 3y)(2x - 3y)?

• A) 4x² + 6xy + 9y²

• B) 4x² + 12xy + 9y²

• C) 4x² + 12xy - 9y²

• D) 4x² + 9y²

• E) 4x² - 9y²

Answer explanation

What is the x-intercept of a line that passes through (3,7) and (0,13)?

• A) 6

• B) 6.5

• C) 7

• D) 7.5

• E) 8

Answer explanation

|5 − 15|³ + |15 − 5|² = ?

• -900.00

• -750.00

• 900.00

• 1,000.00

• 1,100.00

Answer explanation

Answer explanation

The square of a certain positive integer lies between 133 and 150. What is this positive integer?

• 9

• 10

• 11

• 12

• 13

Answer explanation

1. Know that the only square number between 133 and 150 is 144.

2. Thus, we have that the only positive integer for which this is its square is 12.

3. Alternatively, use your calculator to find the square root of 133 = 11.5325625947 and the square root of 150 = 12.2474487139. Thus, we know that the only integer between these two numbers is 12.

30% of 60 is 45% of what number?

• 35

• 40

• 45

• 65

• 70

Answer explanation

Annie is currently one third of her mother's age. 10 years ago, her mother was 5 times as old as Annie.

How old is Annie?

• 10

• 20

• 30

• 40

• 50

Answer explanation