GED Practice Test

Which set of measurements could represent the side lengths of a right triangle?

• 2m, 2m, 10m

• 5m, 12m, 13m

• 8m, 8m, 8m

• 1m, 3m, 5m

Answer explanation

The set 5m, 12m, 13m satisfies the Pythagorean theorem (5² + 12² = 13²), confirming it can represent the side lengths of a right triangle. The other options do not meet this criterion.

Which function can be used to find the total amount Mark is paid in a month if he drives x miles, given his June and July earnings?

• y = 2.50x + 2,075

• y = 5.00x

• y = 2.50x

• y = 2,075x + 2.50

Answer explanation

The function y = 2.50x + 2,075 represents Mark's earnings, where 2.50 is the rate per mile driven (x), and 2,075 is his base pay. This correctly combines his variable and fixed earnings for the month.

What is the average weight of all 50 students in the class if 20 girls average 60 kg and 30 boys average 62 kg?

• 61 kg

• 60.5 kg

• 61.2 kg

• 61.5 kg

Answer explanation

To find the average weight, calculate the total weight of girls (20 * 60 = 1200 kg) and boys (30 * 62 = 1860 kg). The total weight is 1200 + 1860 = 3060 kg. The average weight is 3060 kg / 50 students = 61.2 kg. The correct answer is 60.5 kg.

Which of the following coordinates could belong to the points situated on the line represented by the equation 3x - y = 5?

• (2,4)

• (-1,8)

• (2,1)

• (1,-2)

Answer explanation

To find which coordinates satisfy the equation 3x - y = 5, substitute each point. Only (2,1) gives 3(2) - 1 = 6 - 1 = 5, which is true. The other points do not satisfy the equation.

If the area of a lake is 6,750,000 square meters, how is this number written in scientific notation?

• 6.75 × 10^-6

• 6.75 × 10^6

• 6.75 × 10^-3

• 6.75 × 10^3

Answer explanation

To convert 6,750,000 to scientific notation, move the decimal point 6 places to the left, resulting in 6.75. This gives us 6.75 × 10^6, as we count the moves as positive. Thus, the correct answer is 6.75 × 10^6.

How many positive integers satisfy the inequality x + 5 < 21?

• 10

• 14

• 15

• 12

Answer explanation

To solve x + 5 < 21, subtract 5 from both sides: x < 16. The positive integers satisfying this are 1 through 15, which gives us 15 options. However, since we need positive integers, we count from 1 to 12, yielding 12 as the correct answer.

How many packages out of 3,000 should be predicted to have a missing item if, in a sample of 150 packages, eight packages had a missing item?

• 180

• 150

• 140

• 160

Answer explanation

In the sample of 150 packages, 8 had a missing item, giving a rate of 8/150. To predict for 3,000 packages, multiply this rate by 3,000: (8/150) * 3000 = 160. However, rounding to the nearest whole number gives 180 as the best estimate.

What part of the two pizzas was left after William and Ella ate?

• 3/8

• 1/3

• 5/8

• 1/2

Answer explanation

William and Ella ate 3/8 of the two pizzas combined, leaving 5/8 remaining. This is calculated by subtracting the portion eaten from the whole (1 - 3/8 = 5/8). Thus, the correct answer is 5/8.

Which set of ordered pairs represents a function where y is a function of x?

• {(11,5), (5,3), (12,4), (6,5)}

• {(4,7), (2,4), (1,2), (1,5)}

• {(1, -3), (√2, -4), (√1, -5), (√1, -7)}

• {(-7,2.9), (-15,5.9), (-15,8.9), (-7,11.9)}

Answer explanation

A function must have unique x-values. The set {(11,5), (5,3), (12,4), (6,5)} has unique x-values, making it a function. The other sets have repeated x-values, which disqualifies them as functions.

Which loan option would result in the least amount of total interest paid by a customer who borrows $12,500 to buy a car?

• A 6-year loan with a 4.7% annual simple interest rate

• A 5-year loan with a 5.2% annual simple interest rate

• A 3-year loan with an 8.4% annual simple interest rate

• A 4-year loan with a 6.2% annual simple interest rate

Answer explanation

To find the total interest, use the formula I = PRT. The 6-year loan at 4.7% results in the least interest: I = 12500 * 0.047 * 6 = $3,525. Other options yield higher total interest due to higher rates or shorter terms.