Algebra II Comprehensive Exam

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If the amounts of rainfall in an area over a month are 1.7”, 2.2”, 0.5”, 0.72”, and 1.1”, what is the mean amount of rainfall in the area for the month? *

1 point

1.2”

1.3”

7.8”

1.1”

1.6”

If the mean of 6 numbers increased by 3, by how much would the sum of the 6 numbers have to increase? *

1 point

Consider all positive integers that are multiples of 10 and are less than or equal to 200. What fraction of those integers are multiples of 15? *

1 point

Julie asked 15 people how many times a week they eat out for supper. The responses are summarized below. Which interval contains the mode of the data? *

1 point

0-1

Cannot determine from this information

6-7

4-5

2-3

If a and b are reciprocals and 0 < a < 1, then b must be: *

1 point

Less than -1

Between -1 and 0

Equal to 0

Between 0 and 1

Greater than 1

If Mac bought 20 pens, 5 notebooks priced at $4.00 per notebook, and 20 folders priced at $1.50 for 4, what was the total price of pens, notebooks, and folders, without tax? *

1 point

$75.50

$81.50

$115.50

$121.50

$125.50

If 3 feet of concrete is added all around the edge of the 15’ x 30’ rectangular pool (creates a larger rectangle), the area of the pool and concrete is what percent of the area of the 75’ x 50’ back yard? *

1 point

12%

20.16%

36%

48%

52.2%

The circumference of a circle is 30 cm. What is the length, in cm, of the radius of the circle? *

1 point

If the midpoint of MN is (4, 1) and M is at (2, -2) and N has the coordinates (x, y), what is the value of x + y? *

1 point

-5

2.5

12.5

1 point

If 8 + 2x = 20, then 3x = ? *

1 point

-2 and -1

-⅔ and -1

⅔ and 1

2 and 1

2 and 2

Which of the following is the slope of a line parallel to the line y = ¼ x + 5 in the standard (x, y) coordinate plane? *

1 point

-4

What is the 100th term in the sequence beginning with -45, -43, -41, -39, …? *

1 point

150

153

155

200

1 point

If it is found that there is a correlation of exactly -1.0 between 2 variables, which of the following is NOT true? *

1 point

There is a strong association between the two variables.

There is a negative association between the two variables.

This is an example of perfect correlation.

There is no association between the two variables.

The relation of the two variables is inverse.

1 point

(-2, 1)

(-½, 1)

(1, -2)

(1, -½ )

(1, 1)

What is the intersection of a non-parallel plane A and line B (that is contained in a separate plane C)? *

1 point

line

line segment

point

plane

angle

1 point

- tan x

sin 2x

A bag contains 8 identically sized, solid-colored chips. Two chips are blue, 3 are red, and 3 are green. A chip is drawn at random and returned to the bag. Then a second chip is drawn at random. What is the probability that the first chip is green and the second is blue? *

1 point

Mike, Sam, and Josh shared a pizza. If Mike ate ⅓ of the pizza, Sam ate ¼ of the pizza, and Josh ate the rest. What is the ratio of Mike’s share to Sam’s share to Josh’s share? *

1 point

4:3:12

3:4:12

4:3:5

3:4:5

12:3:4

Which quantity of pens purchased is the least total price? *

1 point

If 3 feet of concrete is added all around the edge of the 15’ x 30’ rectangular pool (creates a larger rectangle), what is the area of the grass remaining inside the 75’ x 50’ fenced yard? *

1 point

160

250

2994

3300

3636

Which of the following expresses the number of meters a contestant must travel in a 4-lap race where the course is a circle of radius R meters? *

1 point

In the standard (x, y) coordinate plane, the midpoint of AB is (-3, 2), and A is located at (0, -1). What are the coordinates of B? *

1 point

(-1.5, 0.5)

(-6, 5)

(0, -4)

(2, 3)

(2, -1)

1 point

35 + 6i

35 - 12i

36 + 6i

1 point

If the midpoint of two complex points is (2 + 4i) and one of the complex points is (-1 + 3i), what is the other complex point? *

1 point

-6 and 3

-3 and 0

-3 and 6

0 and 3

4 and 8

In the standard (x, y) coordinate plane, which of the following lines is perpendicular to the line 2y = 3x + 1? *

1 point

y = -3/2 x - 1

y = -⅔ x + 3

y = ⅔ x - 1

y = 3/2 x + 2

3y = 2x + 3

In the standard (x, y) coordinate plane, the center of a circle lies on the x-axis at x = -3. If the circle is tangent to the y-axis, which of the following is an equation of the circle. *

1 point

125

1 point

Vertical

Horizontal

Oblique

Vertical and Horizontal

Vertical and Oblique

What are the quadrants of the standard (x,y) coordinate plane that contain points on the graph of the equation 2x + 3y = 4? *

1 point

I and II

II and III

II, III, and IV

III and IV

I, II, and IV

1 point

6.5

9.3

10.2

12.3

15.1

What is the equation of the circle tangent to the origin that passes through the point (0, 8)? *

1 point

The breakfast shop has 5 different kinds of bagels, 6 different kinds of smoothies, and 3 different pieces of fruit to choose from. How many possible orders consisting of a bagel, a smoothie, and a piece of fruit can a person order? *

1 point

150

Given the set {3, 3, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation? *

1 point

Unable to determine

For all positive integers x, what is the greatest common factor of the two numbers 128x and 240x? *

1 point

16x

64x

1 point

If 2 cars traveling towards one another are 100 miles apart and car A is traveling at 55 miles/hour, while car B is traveling at 60 miles/hour, which time is closest to when they meet if it is 2:00 pm now? *

1 point

2:52 PM

2:59 PM

3:40 PM

3:49 PM

4:02 PM

If x and y are real numbers such that x > 0 and y < 0, then which of the following inequalities must be true? *

1 point

-4

-3

There is no such value of x.

1 point

-30

-18

1 point

x = -1

x = 0

x = 1

x = 0, x = 1

x = -1, x = 1

Below is the graph of f(x) = sin(x). Is this function even, odd, or neither? *

1 point

Even

Odd

Neither even, nor odd

Both even and odd

Unable to determine

If point A has a non-zero x-coordinate and a non-zero y-coordinate and the coordinates have different signs, then point A must be located in which of the 4 quadrants labeled below? *

1 point

II only

I and II

I and IV

II and IV

III and IV

In the figure below, lines l and m are parallel and intersected by lines s and t. Given the angle measures below, what is the measure of angle x? *

1 point

A cube has a total surface area of 36x square units. Which of the following expressions gives the area, in square units, of a single face of the cube. *

1 point

Parabola

Circle

Ellipse

Hyperbola

Not a Conic Section

1 point

Coffee sizes come in small and large, can be hot or cold, and are available in 3 different flavors. How many different possible orders of coffee can there be? *

1 point

In a bag of 200 marbles, 20% are green. If you randomly pick a marble from the bag, what is the probability that the marble you picked is NOT one of the green marbles? *

1 point

Which of the following data sets has the smallest standard deviation? *

1 point

1, 1, 1, 10, 10, 10

1, 2, 3, 4, 5, 6

2, 6, 6, 10, 10, 12

5, 5, 5, 5, 5, 5

5, 6, 7, 8, 9, 10

Which shows the least correlation? *

1 point

-0.99

-0.25

0.25

0.99

Which of the following lists all the positive factors of 10? *

1 point

1,10

2, 5

2, 4, 5

10, 20, 30

1, 2, 5, 10

1 point

Sara and 3 of her friends went to lunch one day. Each person paid for her own lunch, but they agreed to split the tip. If the tip amount was 15% of the total, and the 4 lunches totaled to $60, what was the portion of each person’s tip amount? *

1 point

$1.50

$2.25

$2.40

$3.00

$3.25

1 point