GED Math Test #5

Question 1

Which of the following answer options depicts the order of the following integers from least to greatest?
0.4, 1/6, 1/3, 0.16, 3/22

Accepted Answer

3/22 0.16 1/6 1/3 0.4

Answer

To compare the fractions to the decimal values already provided, first convert them to decimals:
1/6=0.1667
1/3=0.333
3/22=0.13636
The correct order of the numbers will be:
0.13636
0.16
0.1667
0.333
0.4

Question 2

What is the actual distance represented by 25 inches on a map if 10 inches on a map represents an actual distance of 100 feet?

Accepted Answer

250 feet

Answer

A percentage can be utilized to solve for the unknown distance because the ratio of inches to actual distance is constant. Create a scale to depict the scenario. The question asks for the distance represented by 25 inches using a ratio of 10 inches to 100 feet. Write a proportion that equates the supplied and unknown data, making sure that the units of each ratio are consistent (all inches on top or all inches on bottom):
10 in/100 ft=25 in/x ft
To solve for the unknown, x feet, use cross multiplication as follows:
10x=25∗100
x=25∗100/10
x=250 ft

Question 3

How many separate three-person committees can be established from a group of five people?

Accepted Answer

10

Answer

Given that the sequence in which committees are constituted has no bearing on the overall number of possible committees (committee A, B, C is the same as committee B, A, C), the total number of possible committees can be computed using a combination. The formula gives the number of possibilities to choose r elements from a group of n elements:
nCr = n!/r!(n−r)!
nCr = 5!3/!(5–3)!
nCr = 5∗4∗3∗2∗1/(3∗2∗1)(2∗1) = 5∗4/2∗1
nCr = 10

Question 4

Solve for x as follows:
14.5x−5(x+2) ≤ 4+4 (4−1/8x)

Accepted Answer

x ≤  3

Answer

To solve for x, perform the relevant operations to simplify the issue, then combine like terms. To get rid of the parentheses, start by dispersing the terms.
Through the parentheses, multiply the 5 and the 4:
14.5x−5x−10≤4+16−1/2x
Combine like terms on both sides of the inequality:
9.5x−10≤20−1/2x
Add 1/2x to both sides:
10x−10≤20
Add 10 to both sides:
10x≤30
Divide both sides by 10:
x≤3
It was not essential in this situation, but keep in mind that when both sides of an inequality are multiplied or divided by a negative number, the inequality's direction changes.

Question 5

What is the following line's slope:
y=3x−7

Accepted Answer

3

Answer

A linear equation is an equation that connects an input variable to an output variable by raising both variables to the first power. The slope is the constant ratio of the change in y coordinates to the change in x coordinates in a linear equation. The algebraic expression for the slope is:
m=y2−y1x2−x1
The slope-intercept form of the equation for a line is y=mx+b, where m is the slope, b is the y-intercept, and (x,y) is a line point. The slope is 3 in this question, and the slope-intercept form of the line is provided.

GED Practice Test

GED Practice Test

GED Math Test #5