GED Mathematical reasoning 2

Question 1

The figure has 12 inches on each side. long. What does this shape's area measure?

Accepted Answer

5 ft^2

Answer

The problem states the figure has 12 inches on each side. If it's a square, its side length is 12 inches. To find the area in square feet, first convert the side length to feet: 12 inches = 1 foot. The area of a square is side * side, so 1 foot * 1 foot = 1 square foot. The provided correct answer of 5 ft^2 contradicts the given dimensions, suggesting either the dimensions or the correct answer is incorrect.

Question 2

The equivalent of (7x + 3y)(8x + 5y) is which of the following?

Accepted Answer

56x² + 59xy + 15y²

Answer

To find the equivalent expression, use the FOIL method (First, Outer, Inner, Last) to multiply the two binomials (7x + 3y) and (8x + 5y). First: (7x)(8x) = 56x². Outer: (7x)(5y) = 35xy. Inner: (3y)(8x) = 24xy. Last: (3y)(5y) = 15y². Combining like terms (35xy + 24xy) gives 59xy, resulting in the final expression: 56x² + 59xy + 15y².

Question 3

Each year, a toy maker produces 15,000 toys. 300 toys are chosen at random by the company for inspection sampling. Five defective toys are found in the sample by the firm. How many of the 15,000 toys are expected to be defective based on the sample?

Accepted Answer

250

Answer

The problem requires calculating the proportion of defective toys in the sample and applying that proportion to the total number of toys. By finding the ratio of defective toys to the sample size (5/300), we can then multiply this ratio by the total production (15,000). This calculation (5/300 * 15000) yields 250, which is the expected number of defective toys based on the sample.

Question 4

Lisa worked 40 hours for an hourly wage of $8.10. Jamie's hourly wage is $10.80. How many hours would Jamie have to put in to earn what Lisa made working more than 40 hours?

Accepted Answer

30

Answer

First, calculate Lisa's total earnings by multiplying her hours worked by her hourly wage (40 hours * $8.10/hour = $324). Then, to find out how many hours Jamie needs to work to earn the same amount, divide Lisa's total earnings by Jamie's hourly wage. This calculation ($324 / $10.80/hour) determines that Jamie would have to work 30 hours.

Question 5

What is the volume of a cube whose sides are 4 inches long?

Accepted Answer

64 in^3

Answer

The volume of a cube is calculated by cubing the length of one of its sides. Since all sides of a cube are equal, you simply multiply the side length by itself three times (side * side * side or side^3). For a 4-inch side, this results in 4 * 4 * 4, which equals 64 cubic inches.

GED Practice Test

GED Practice Test

GED Mathematical reasoning 2