FSA Practice Test (8th Grade: Math)

Question 1

For the first 44 hours of labor in a week, King is paid $616, and for any further hours, he is paid 1.5 times his regular hourly rate. King requires $826 this week to cover his rent, bills, and other expenses. How many hours must he work this week to make enough money?

Accepted Answer

54

Answer

First, calculate King's regular hourly rate: $616 / 44 hours = $14/hour. He needs an additional $826 - $616 = $210. His overtime rate is 1.5 * $14 = $21/hour. To earn the extra $210, he must work $210 / $21 = 10 overtime hours. Therefore, King must work a total of 44 (regular) + 10 (overtime) = 54 hours this week.

Question 2

Richard designed a triangle-shaped flag with the measurements indicated below.
Which of the following is the most closest to X's value?

Accepted Answer

10.4

Answer

To find the value of X in a right-angled triangle, the Pythagorean theorem (a² + b² = c²) is used. Assuming the image shows a right triangle with legs of 6 and X, and a hypotenuse of 12 (a common scenario for such problems), the equation is 6² + X² = 12². This simplifies to 36 + X² = 144, so X² = 108. Taking the square root, X ≈ 10.39, which rounds to 10.4.

Question 3

Which of the following is a number that is an integer?

Accepted Answer

-3

Answer

An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts. Among the given options, -3 is the only number that fits this definition. Options like -12.5, 0.454545..., and 1/4 are decimals or fractions, and thus are not integers.

Question 4

Customers can rent a small cargo truck from a hardware store to transport any large items they buy. To rent the truck, the shop charges a rental fee of $20 plus $7.50 per hour. Which equation is the most accurate representation of the situation?

Accepted Answer

y=7.5x + 20

Answer

This situation describes a linear relationship where the total cost (y) depends on the number of hours (x). The $20 rental fee is a fixed cost, acting as the y-intercept (b). The $7.50 per hour charge is the variable cost, representing the slope (m). Therefore, the equation follows the slope-intercept form y = mx + b, resulting in y = 7.5x + 20.

Question 5

A scatter plot is displayed. Which of the following statements about the scatter plot is correct?

Accepted Answer

The data show a positive correlation.

Answer

A positive correlation in a scatter plot indicates that as the values of one variable increase, the values of the other variable also tend to increase. This relationship is visually represented by data points generally trending upwards from the bottom-left to the top-right of the plot. This suggests a direct relationship between the two variables being measured.