GED Math Practice Test

(Use π ≅ 3.14)

Find the value of the expression using the order of operations (PEMDAS):

5.5\times\left(\frac{2}{11}+\frac{1}{16.5}\right)-\left(\frac{7}{2}\div7\right)+5.25

A water tank is in the shape of a cube that holds a volume of 216 cubic meters. If this tank is used to store water for a city’s daily consumption needs, what is the length of each side of this cube-shaped water tank?

John is an architect designing a model for a building. He uses a scale where 1 inch represents 5 feet. After completing the model, he measures the height of the building in his model and finds it to be 9.5 inches. What is the actual height of the building in feet?

Charter bus rentals for day trips have a base fee of $300 plus an additional $4 per mile traveled. In addition, a 10% tax is added to the total cost. Let x denote the number of miles traveled in a trip.

Which of the following expressions represents the total cost (in dollars) of renting a charter bus, including taxes?

Find the mean, median, and mode for the data in the table below:

What is the value of the given expression at x = \frac{3}{4} and y = \frac{4}{3} ?

16x² + 24xy + 9y²

If the equation of the line with a slope of 2 passing through the points (5, 3) and (1, y), then what is the value of y?

Tom is three times as old as Alex. If T represents Tom’s age and A represents Alex’s age, which of the following expressions represents Alex’s age in terms of Tom’s age?

If the dimensions of the rectangle is given as: 3x² + 5y for the length and -2x² + 3y for the width, then the perimeter of the rectangle is (choose a, b, or c). Also, the perimeter of the rectangle when x = 2 and y = 2 is (choose d, e, or f).

Find the value of the constant α in the following equation:

-7x\left(x-5\right)+6\left(x-5\right)=\alpha x^2+\beta x+\gamma

Tom and Lisa both work at a local cafe. Tom earns $10 per hour, while Lisa earns $8 per hour. They worked for a total of 40 hours in a week. Together, they earn a total of $380. How many hours did they each work during the week?

y + 3 is a factor of which of the following polynomials?

1. a(y) = y² – 2y – 3
2. b(y) = y² – 4y + 3
3. c(y) = y³ + 3y² – y – 3
4. d(y) = y³ + 3y² – 4y – 12

Simplify: 5+\frac{3}{5}\times\left(2.5-\frac{1}{3}\right)+{0.2}^2

Which of the following is the equivalent form of the expression \frac{7}{3x-1}-\frac{2}{x+3}-\frac{2}{3x-1} ?

Alex drives for a ride-sharing service and earns $150 for a 5-hour shift. He wants to represent his earnings as a linear equation, with x representing the number of hours he works and y representing the amount of money earned.

What is the slope of the linear equation in this case?

If there are 0.0833 feet in an inch, and the height of a building is 1131 inches, then what is the height of the same building in feet? (Round to two decimal places.)

A consultant earns a fixed fee of $350 per project plus a 12% commission on the total project cost. If the total cost of a project is $5,800, how much will the consultant earn for that project?

Lisa is currently planning a road trip from one city to another. On her map, 4 centimeters represents 60 kilometers. She measures the distance between the two cities on the map and finds it to be 20 centimeters. How many kilometers apart are the two cities?

From a set of numbers 1-20, one number is selected at random. What is the probability that the number selected is a multiple of 3?