GED Math Test #6 — Questions and Answers

Question 1: What is the value of x that gives y = 15 - 3x and y = 0?

5 (Correct answer)
10
15
3

Correct answer: 5

y =15 - 3x and y = 0 Hence 15 - 3x = 0 Plug 5 in for x. 15 - 3(5) = 0 x=5

Question 2: What is the distance between -3/7 and -2/3 on a number line?

5/21 (Correct answer)
-23/21
23/21
1/4

Correct answer: 5/21

Absolute values (|a| or abs(a)) can be used to find the distance between two numbers. abs(-3/7 -2/3) is the distance between these two values. = abs(-(3/7 -2/3)) = abs(3/7 -2/3) = abs(9/21 - 14/21) = abs(-5/21 ) =5/21

Question 3: Johnny invests $100 in 100 shares of stock. He sells 50 shares after the price rises by 10%. Then, after a 10% reduction in price, he sells his remaining 50 shares. What did he get paid for the last 50?

$4,950 (Correct answer)
$5,050
$4,900
$5,000

Correct answer: $4,950

The stock first climbed by 10%, or $10 (10% of $100), to $110 per share. The price was then reduced by $11 (10 percent of $110), resulting in a sale price of $110-$11 = $99 per share, and a sale price of 99 x $50 = $4950 for 50 shares.

Question 4: Ryan is interested in booking a party room at the Fun Zone Arcade for his daughter. He has a maximum spending limit of $275. The price is $21 per child, plus a $40 reservation fee. What is the maximum number of youngsters that will be able to attend the party?

9
13
15
12 (Correct answer)

Correct answer: 12

Subtract the reservation charge from the total budget as follows: 275−40=235 Then divide the remaining funds by the cost per child to get the number of children who will be able to attend: 235÷21=11.19 Rounding up to 12 children would exceed the budget, and 11.19 children are impossible, so round down to 11.

Question 5: 1 meter = 100 centimeters in the metric system, and 1 meter: 1 foot = 3.25:1.

646.15 (Correct answer)
68.25
6.4615
6825

Correct answer: 646.15

3.25 feet = 1 meter 1 foot = 1÷3.25 meters 21 feet = 21×1÷3.25 = 6.4615 meters

Question 6: Sort the following four fractions from smallest to largest:1/4, 2/3, 4/7, 1/2

1/4, 1/2, 2/3, 4/7
1/4, 4/7, 1/2, 2/3
1/4, 1/2, 4/7, 2/3 (Correct answer)
1/2, 2/3, 1/4, 4/7

Correct answer: 1/4, 1/2, 4/7, 2/3

If 1/4, 2/3, 4/7, 1/2 are converted to decimals we get 0.25, 0.6666...., 0.571....., 0.5 then the correct order is obvious or If 1/4, 2/3, 4/7, 1/2 are converted to fractions with a common denominator 21/84, 56/84, 48/84, 42/84 then the correct order is obvious.

Question 7: In 5 days, ten people can paint a building. How much of the building could 7 individuals paint in 5 days if each person paints as quickly as the others?

7/10 (Correct answer)
7/5
10/7
5/7

Correct answer: 7/10

In 5 days, ten people can paint a building. In 5 days, each person paints a tenth of the building. 7 individuals would paint 7/10 of the building in 5 days. Seven individuals would paint 7/10 of the building in five days.

Question 8: Two equal sides make up an isosceles triangle. What is the perimeter of a triangle with two sides of 5 inches and two sides of 2 inches?

10 inches
19 inches
12 inches (Correct answer)
None of the above

Correct answer: 12 inches

If the other side is only 5 inches long, the two shorter sides will not be able to meet. The perimeter is 5 + 5 + 2 = 12 and is the distance around the edge of the triangle.

Question 9: Based on a study of 300 New York consumers, the market share of five cleaning products is shown in this pie chart. Which two brands' market shares are comparable?

A and B
C and E
D and B
A and D (Correct answer)

Correct answer: A and D

According to the sectors, the market share is proportionate. The size of the sectors for A and D is comparable. The market shares of A and D are comparable.

Question 10: Based on a study of 300 New York consumers, the market share of five cleaning products is shown in this pie chart. 45 of the customers bought D. What is the size of the D sector angle?

54 degrees (Correct answer)
61 degree
79 degree
84 degree

Correct answer: 54 degrees

Of the 300 customers present, 45 bought brand D. The angle for D is 0.15 360 = 54 degrees, which is the sector angle for D. The percentage of shoppers that bought D was 45/300.

Question 11: Based on a study of 300 New York consumers, the market share of five cleaning products is shown in this pie chart. B has a 198 degree angle. How many customers bought B?

72
96
165 (Correct answer)
201

Correct answer: 165

There were 300 persons that bought cleaner in total, and there are 360 degrees in a circle. The number of people that purchased B was 198/360 x 300, which is 165.

Question 12: A 12% sales tax is applied. A cell phone costs $280 before taxes. How much tax is due on this cell phone?

$47.53
$33.60 (Correct answer)
$69.86
$93.56

Correct answer: $33.60

The phone costs $1.12 x 280, or $313.60, to buy. $33.60 - $280 = $33.60 is the tax.

Question 13: Find the value of a for s = 7, b = 13, and c = -24 using the formula a = s^2 + 3b - c.

79
112 (Correct answer)
145
151

Correct answer: 112

In substitute for s, b, and c. a = 7^2 + 3(13) – (-24) a = 49 + 39 + 24 = 112.

Question 14: Eight equal sectors make up the circle. What is the possibility that B or C will be present in a sector selected at random?

37.50%
48.51%
62.50% (Correct answer)
77.51%

Correct answer: 62.50%

8 sectors are present. B or C are present in 5 of the sectors. 8 divided by 5 equals 62.5%. There is a 62.5% chance that B or C are present in the sector.

Question 15: Information about one employee is listed on a small business wage sheet. When an employee works longer than their regular 26 hours, they are paid $40 per hour. What number can substitute for x?

5 (Correct answer)
7
2
0

Correct answer: 5

Their salary for 26 hours is 26 x 25 = $650, and their overtime pay is $850 x 650 = $200. The total amount of hours worked in overtime is $200÷$40 = 5. x is 5.

Question 16: Which one of the following is accurate?

√(-3) is positive
√(-3) is negative
√(-3) is an integer
√(-3) is undefined (Correct answer)

Correct answer: √(-3) is undefined

√ is the representation of the square root. Negative values have undefined square roots.

Question 17: Come up with a number, add 10 then multiplies the number that is generated by 3 and get 42. If the number is n then write a formula.

3n + 10 = 42
3(n + 10) = 42 (Correct answer)
10n - 3 = 42
42n - 10 = 3

Correct answer: 3(n + 10) = 42

10 is added to n to give n + 10. The result of multiplying the integer by three is 3(n + 10). This is equal to 42 when multiplied by 3(n + 10).

Question 18: The temperature in a refrigerator at time t hours after midday is represented by the graph, which is a portion of the graph for the function T = (t + 1)(t - 3). Which collection of t values has a temperature below zero?

-1< t < 3 (Correct answer)
t >= 3
-1< t < -3
1< t < 3

Correct answer: -1< t < 3

Even though T is negative for 1 < t < 3, when t= 3 T = 0. T >= 0 for t >= 3 T > 0 for t < -1. T < 0 or negative when -1< t < 3

Question 19: −x(4x+2)=

4x^2+2x
4x^2−2x
−4x^2+2x
−4x^2−2x (Correct answer)

Correct answer: −4x^2−2x

−x(4x+2) =(−x)(4x)+(−x)(2) =−4x^2+(−2x) =−4x^2−2x

Question 20: x^2+5x+4

(x+5)(x−1)
(x+4)(x+1) (Correct answer)
(x−4)(x−1)
(x−5)(x+1)

Correct answer: (x+4)(x+1)

x^2+5x+4=(x+a)(x+b) where a+b = 5 and ab = 4 Both 4 and 1 meet these requirements. Hence, x^2+5x+4=(x+1)(x+4) Using the FOIL method, you can verify the answer.

GED Math Test #6

What is the value of x that gives y = 15 - 3x and y = 0?