GED Math Test (Calculator Allowed)

Which of the following expressions is equivalent to \(3x (2 + 5y)\) ?

A phone company charges $2 for the first five minutes of a phone call and 30 cents per minute thereafter. If Bill makes a phone call that lasts 25 minutes, what will be the total cost of the phone call?

If \(y = 3ab + 2b^3\), what is \(y\) when \(a = 1\) and \(b = 2\) ?

Data from a Sanford C. Bernstein research study indicates that in a recent year, 9.6 billion cases of soft drinks were sold in the United States. The pie chart below summarizes the distribution of soft drink sales by location.

Based on the pie chart, the four largest locations for soft drink sales account for approximately what percentage of total soft drink sales in the year under consideration?

Emma needs to order liquid fertilizer for her landscaping company. She plans to keep the fertilizer in a large cylindrical storage tank, but isn’t sure how much it will hold. The tank is 10 feet tall and the circular base has a radius of 5 feet. What is the volume of her storage tank?

How many different passcodes can be formed from the letters {A, B, C, D} if each letter can only be used once?

Factor: \(4y(3x + 2) − 2(3x + 2)\)

During an examination of defective products at a manufacturing plant, inspectors assigned a rating of 1–5 for the severity of the defects found. A total of 800 defective products were examined. A rating of 1 represents the lowest severity while a rating of 5 represents the highest severity. A frequency tally of the severity ratings follows:

What is the median severity rating?

Which of the following is the graph of \(2y = 5x − 2\)?

If \(\, a = −4\), and \(\, b = 3\), what is \(|a − b|\)?

If 10 inches on a map represents an actual distance of 100 feet, then what actual distance does 25 inches on the map represent?

Alex drives from city A to city B at a rate of 60 kilometers per hour. If he uses 2 gallons of fuel every 50 miles, how many gallons of fuel will he need to drive five hours to visit his family in city B? (1 mile = 1.6 kilometers)

Which answer choice shows the arrangement of the following numbers from least to greatest?
 
\(0.4, \; \frac{1}{6}, \; \frac{1}{3}, \; 0.16, \; \frac{3}{22}\)

If the radius of the semi-circular region shown is 4”, what is the area of the semi-circular region in \(\pi\) square inches?

The table shows the number of students in the Algebra, Biology, and Calculus classes along with the respective average scores on final exams. What is the weighted average score across the three classes, rounded to the nearest whole number?

Five years ago, Amy was three times as old as Mike. If Mike is 10 years old now, how old is Amy?

Joe has a budget of $300 for his holiday spending. Joe decides to buy shoes for his grandchildren. If each pair of shoes costs $40, and Joe has \(n\) grandchildren, which of the following inequalities represents Joe’s budget constraint?

The area of the circle shown below is 100\(π\). What is the diameter (D) of the circle?

What is the probability of selecting a male from a group of 4 males and 8 females?

At the end of every month, Katie saves 20 percent of her take home pay after taxes. If Katie is taxed at a 25 percent tax rate, and \(S\) represents Katie’s monthly salary before taxes, which of the following expressions represents Katie’s total savings at the end of six months?

What are the solutions to the following equation:

\(x^2 + 8x + 15 = 0\)

What is the slope of the following line:

\(y = 3x − 7\)

How many different committees of 3 people can be formed by selecting from a group of 5 people?

A beverage manufacturer would like to test the reliability of two processes for manufacturing orange juice and apple cider, respectively. A review of the orange juice manufacturing process found that 10% of the bottles are under filled. A review of the apple cider manufacturing process found that 15% of the bottles are under filled.

If two cans are selected at random (one from each process), what is the probability of selecting one under filled orange juice bottle and one under filled apple cider bottle?

On April 15, 2015, Jorge buys 10 shares of Bling-Bling Inc. stock at a price of $450 per share. The share price of Bling-Bling increases to $600 on July 15, 2015. What is the percentage increase in the value of Jorge’s shares rounded to the nearest percent?

The bar chart shows the top six pharmaceutical companies in the United States and their sales figures ($ millions) for a recent year.

If BMY had a 6.3% share of the total sales of pharmaceuticals in the United States in the given year, what percentage of the total sales did JNJ have in the given year?

\((3x + 4y)(2x + 5y) = \; ?\)

A factory produces 500 smartphones per month. The cost of manufacturing each phone is $200. If the company wants to make a total profit of $10,000 or more on the 500 phones, which of the following inequalities will yield the sales price, \(Y\), at which the factory must sell each phone in order to earn the desired profit?

In the coordinate plane shown, what point represents (−1, 3)?

A rectangle is cut in half to create two squares that each has an area of 25. What is the perimeter of the original rectangle? Type your answer in the box below.

What is the equation of a line that passes through points A (1, 2) and B (4, 3)?

Given \(f(x) = x^2 + 4x − 3\), find \(f(−3)\)

Sofía is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7 hour time period what was Sofía’s average speed?

44 is 80% of what number?

The graph provided shows the change in velocity of a rocket from time 0 to time 10. During what span of time is the rocket’s velocity decreasing?

Solve for \(x\):
 
\(14.5x − 5(x + 2) ≤ 4 + 4(4 − \frac{1}{8}x)\)

Which of the following represents a function?

Reyansh is interested in reserving a party room for his daughter at the Fun Zone Arcade. The most he can spend is $275. The cost is $21 per child and there is a reservation fee of $40. How many children will be able to attend the party?

Calculate the value of \(x\) for the right triangle shown below.