# Ged Math practice quiz 3 - online test

What is the greatest common factor of 45 and 135?

5

5

5

5

Because 45 divides both numbers, it is the greatest common factor.

For which of the following lines is the slope undefined?

y=-x

y=-x

y=-x

y=-x

Because x = 2 represents a vertical line, it has an undefined slope.

The probability of a coin being flipped and landing on tails is 1/2, and the probability of drawing an ace of spades out of a deck of cards is 1/52. What is the probability of a coin flip resulting in tails AND drawing an ace of spades out of a deck of cards?

1/104

1/105

1/23

1/50

For this compound event, multiply the probabilities of each respective event because they are independent:  Which of the following best describes the solution set of the following inequality?

x>12

x>12

x>12

x>12

When you multiply both sides of the inequality by -2, the inequality sign must be reversed. This results in the inequality x - 66 >-18. The solution can then be found by adding 66 to both sides.

(x+3)-[(x2 +5)(x-17)]=

-x3 -17x2 -4x+82

-x3 -17x2 -4x+82

-x3 -17x2 -4x+82

-x3 -17x2 -4x+82

Option C is correct. A right triangle has legs of length 22 meters and 6 meters.
To the nearest square meter, what is the area of the triangle?

14

14

14

14

The area of a triangle is given by the formula A=1/2 bh. Using the given values, A=1/2 (22)(6)=66.

Two containers of yogurt are on sale at the local grocery store. Brand A is available in a 6-pack of 4-ounce cups for 2.29. The other brand, Brand B, is priced at 2.50 for an 8-pack of 3-ounce containers.
Choose the letter of the option that correctly completes the sentence.
Based on the unit price, ________ is a better deal.

Brand A

Brand A

Brand A

Brand A

Based on the unit price, Brand A is a better deal. Brand A is a better deal at approximately 0.095 per ounce, whereas Brand B is priced at approximately 0.104 per ounce.

For the equation 6-3y=(x+2)(3x+9), what are the values of x when y = 0?

-2 and -3

-2 and -3

-2 and -3

-2 and -3

Using FOIL on the right-hand of the equation yields 6-3y=3x2 +9x+6x+18. When y = 0, this is equivalent to 6=3x2 +9x+6x+18 or 0=3x2 +15x+12. Dividing both sides of the equation by 3 and factoring, 0=(x+4)(x+1).

In physics, the acceleration due to gravity of an object falling toward the ground is g=9.8 m/s2.
If one meter is equivalent to approximately 3.3 feet, which of the following is equivalent to the value of g when it is measured in feet per squared second?

10.8 ft/s2

10.8 ft/s2

10.8 ft/s2

10.8 ft/s2

What is the value of g(-2) if g(x)=x2 -10?

-14

-14

-14

-14

g(-2)=(-2)2 -10=4-10=-6

Marquis runs a food cart selling hot dogs and cans of soda. He sells each hot dog for 1.50 and each can of soda for 0.75.
If he sold 80 hot dogs and made a total of \$174, how many cans of soda did he sell?

48

48

48

48

If c represents the number of cans sold, the equation 1.5(80) + 0.75c = 174 must be true. This equation is equivalent to the equation 0.75c = 54, which has a solution of 72.

A regular octagon has side lengths of 5 units.
What is the perimeter of this figure?

5

5

5

5

A regular octagon has 8 sides of equal length. Therefore the perimeter is 8(5) = 40.

The function C(x)=12.5x+14,500 represents the total cost of manufacturing x items per month.
What does the y-intercept of this function represent?

the cost of manufacturing 12.5 items

the cost of manufacturing 12.5 items

the cost of manufacturing 12.5 items

the cost of manufacturing 12.5 items

The y intercept is the value of C when x = 0. This would represent the cost, which is the same regardless of how many items are produced.

Which of the following is equivalent to ?

50

50

50

50 