QR Test #6

A container has 4 blue marbles, 2 green marbles, and 2 yellow marbles. If you draw 3 marbles with replacement, what is the probability the third marble is the only blue marble that is drawn?

A. 

¹/₈

B. 

¹/₄

C. 

C¹/₃

D. 

¹/₁₆

E. 

¹/₂

A. 

¹/₈

If there are 10 people in a room, and each person shakes hands with every other person once, how many handshakes will there be?

A. 

10

B. 

33

C. 

40

D. 

45

D. 

45

In a class of 20 students, 5 students do not own any pets. Of the remaining students, everyone either owns a dog, a cat, or both. If 10 have a dog and 8 have a cat, how many students have both?

A. 

0

B. 

3

C. 

5

D. 

18

B. 3

Simplify the expression:

A. 

B. 

C. 

D. 

E. 

A.

Max rolls two six-sided dice.

Quantity A		Quantity B
The probability that Max rolls two even prime numbers

A. 

Quantity A is greater

B. 

Quantity B is greater

C. 

The two quantities are equal

D. 

The relationship cannot be determined from the information given

B.

Evaluate the following expression:

A. 

B. 

C. 

D. 

C.

Two planes left the airport at the same time, one heading east and the other heading west. The plane heading east travels at 540 miles per hour, while the plane heading west travels at 480 miles per hour. How many minutes will it take for the planes to be exactly 400 miles apart?

A. 

23 minutes

B. 

26 minutes

C. 

34 minutes

D. 

39 minutes

E. 

52 minutes

A. 23 minutes

Factor the following expression: 81a⁴² - 16b⁸

A. 

(3a²¹ + 4b⁴)(27a²¹ - 4b⁴)

B. 

9a²¹ + 4b⁴)(9a²¹ + 4b⁴)

C. 

(9a²¹ - 4b⁴)(9a²¹ - 4b⁴)

D. 

(3a²¹ - 4b⁴)(27a²¹ - 4b⁴)

E. 

(9a²¹ + 4b⁴)(9a²¹ - 4b⁴)

E. 

(9a²¹ + 4b⁴)(9a²¹ - 4b⁴)

FOIL the answer choices

Solve the following expression to the nearest tenth:

A. 

2,999

B. 

299.9

C. 

29.9

D. 

300.1

E. 

3,001

D. 

300.1

Jeff takes 8 hours to paint a house. If he works with his cousin, Simon, it takes them 3 hours to paint. How many hours does it take for Simon to paint the house alone?

A. 

1 hour and 52 minutes

B. 

2 hours and 16 minutes

C. 

3 hours and 34 minutes

D. 

4 hours and 48 minutes

E. 

5 hours and 8 minutes

D. 

4 hours and 48 minutes

The state fair holds a coloring contest every year, awarding the top 3 winners with prizes. First place gets a gold medal, second place gets silver, and third place bronze. If 12 kids participate, how many ways can this contest be won?

A. 

36

B. 

220

C. 

580

D. 

1,320

E. 

2,160

D. 

1,320

Order mattered, so no r! (random) in denominator

What is the area encompassed underneath the following line equation in the first quadrant?

A. 

13.5

B. 

18.5

C. 

27

D. 

36

A. 

13.5

just find the x and y intercepts, its that easy

In an airplane, 12 passengers on board are in business class, ¹/₅ of the passengers are in first class, while ²/₃ of the passengers are in economy class. How many total passengers are onboard?

A. 

72

B. 

76

C. 

82

D. 

90

E. 

98

D. 

90