Math – Module 2 – PrepSyncResources

Welcome to your Math – Module 2

In a deck of 52 playing cards, what is the probability of drawing a face card (Jack, Queen, King) or a heart in a single draw?

What is the solution to the equation 5(x - 2) = 3x + 4?

Deselect Answer

x = 7

x = 4

x = 3

x = 8

None

For the quadratic equation x^2 + 4x + c = 0, if one of its roots is 2, what is the value of c?

Deselect Answer

c = -8

c = -4

c = 8

c = 4

None

Solve for x: 3x^2 + 2x - 5 = 0 using the quadratic formula.

Deselect Answer

x = 1, x = -5/3

x = 5/3, x = -1

x = -1, x = 5/3

x = -5/3, x = 1

None

Find the value of z if 2z + 3 = 3z - 4.

Deselect Answer

z = 1

z = -1

z = 7

z = -7

None

What are the roots of the quadratic equation 2x^2 - 4x - 6 = 0?

Deselect Answer

x = 3, x = 1

x = 3, x = -1

x = 2, x = -3

x = -3, x = 1

None

This table shows the heights of the five starting players in tonight’s playoff basketball game between Corpus Christi Academy and St. Bartholomew’s High School. Which of the following is the most accurate statistical interpretation of the data in this table?

Deselect Answer

Both teams have the same range, but Corpus Christi has a greater standard deviation.

Both teams have the same range, but St. Bartholomew’s has a greater standard deviation.

Corpus Christi has both a greater range and a greater standard deviation.

St. Bartholomew’s has both a greater range and a greater standard deviation.

None

If 5 workers can complete a task in 12 days, how many days would it take for 3 workers to complete the same task, assuming they work at the same rate?

Deselect Answer

10 days

15 days

18 days

20 days

None

A train travels from City A to City B at a speed of 60 miles per hour. If the total distance between the two cities is 180 miles, how long will the journey take?

Deselect Answer

5 hours

2 hours

3 hours

4 hours

None

10.

If f(x) = x^2 - 6x + 8, what is the vertex of the parabola?

Deselect Answer

(3, -2)

(2, 0)

(4, 0)

(3, -1)

None

11.

If 3x - 7 = 2x + 5, what is the value of x?

Deselect Answer

x = -7

x = 7

x = -12

x = 12

None

12.

A car rental service charges $50 per day and an additional $0.20 per mile driven. If a customer drives 150 miles in one day, what is the total cost?

Deselect Answer

$90

$70

$100

$80

None

13.

In a survey, 60% of respondents prefer coffee over tea. If 4 people are randomly chosen, what is the probability that exactly 3 of them prefer coffee?

14.

A fair six-sided die is rolled three times. What is the probability that the sum of the numbers rolled is exactly 10?

15.

A bag contains 5 red balls, 3 blue balls, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are red?

16.

If 7 - 4p = 3p + 2, what is the value of p?

Deselect Answer

p = 1

p = 5/7

p = 0.5

p = 0.71

None

17.

A cyclist travels at a constant speed of 15 miles per hour. If they start at 9:00 AM and need to travel 45 miles, at what time will they arrive at their destination?

Deselect Answer

12:00 PM

2:00 PM

1:00 PM

11:00 AM

None

18.

A rectangle has a length that is twice its width. If the perimeter of the rectangle is 54 units, what is the width of the rectangle?

Deselect Answer

18 units

12 units

6 units

9 units

None

19.

In a class of 30 students, the probability that a student is left-handed is 0.2. If two students are randomly selected, what is the probability that both are left-handed?

20.

Solve for y: 4y + 9 = 25 - 2y.

Deselect Answer

y = 8/3

y = 2.67

y = 6

y = 5.67

None

21.

The preceding table defines a linear function. What is the value of n?