GED Mathematical reasoning

Question 1

If a class has 10 men and 14 women, what is the ratio of men to the class?

Accepted Answer

10:24</label></li>

Answer

A ratio of men to the class means comparing the number of men to the total number of students in the class. There are 10 men and 14 women, so the total number of students is 10 + 14 = 24. Therefore, the ratio of men to the class is 10:24.

Question 2

If rope costs $3.20 per yard, or $0.15 per inch, which is the better deal?

NOTE: 1 yard equals 3 feet equals 36 inches

Accepted Answer

$3.20 per yard

Answer

To compare the deals, convert the price per inch to a price per yard. Since 1 yard equals 36 inches, the cost per yard at $0.15 per inch would be $0.15 * 36 = $5.40. Comparing this to the direct price of $3.20 per yard, it is clear that $3.20 per yard is the better deal.

Question 3

Which of the following ratio pairs forms a proportion?

Accepted Answer

¹⁷/₂₀=⁵¹/₆₀

Answer

A proportion exists when two ratios are equivalent. To check for equivalence, you can simplify the ratios or cross-multiply. For option B, 17/20 and 51/60, if you multiply the numerator and denominator of 17/20 by 3, you get (17*3)/(20*3) = 51/60, confirming they are proportional. Alternatively, cross-multiplying gives 17 * 60 = 1020 and 20 * 51 = 1020, showing they are equal.

Question 4

The line connecting points (3,-6) and (-9,2) has slope:

Accepted Answer

-2/3</label></li>

Answer

The slope of a line connecting two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1). For points (3, -6) and (-9, 2), substitute these values: m = (2 - (-6)) / (-9 - 3). This simplifies to m = (2 + 6) / (-12) = 8 / -12, which reduces to -2/3.

Question 5

>A line with the coordinates (7,y) and (-2,-4) has slope ³/₄. What is the value of y?

Accepted Answer

2.75</label></li>

Answer

Use the slope formula m = (y2 - y1) / (x2 - x1). Given m = 3/4, (x1, y1) = (-2, -4), and (x2, y2) = (7, y), substitute these values into the formula: 3/4 = (y - (-4)) / (7 - (-2)). This simplifies to 3/4 = (y + 4) / 9. Cross-multiply to solve for y: 3 * 9 = 4 * (y + 4), which becomes 27 = 4y + 16. Subtracting 16 from both sides gives 11 = 4y, so y = 11/4 = 2.75.

GED Practice Test

GED Practice Test

GED Mathematical reasoning