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1
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Which best describes the strength of the correlation, and what is true about the causation between the variables?

A
It is a strong positive correlation, and it is likely causal.
B
It is a weak positive correlation, and it is not likely causal.
C
It is a strong positive correlation, and it is not likely causal.
D
It is a weak positive correlation, and it is likely causal.
2
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Which is the best description of the graph of the function f of x is equal to 60 times 1 third to the x th power ?

A
The graph has an initial value of 60 , and each successive term is determined by subtracting 1 third .
B
The graph has an initial value of 60 , and each successive term is determined by multiplying by 1 third .
C
The graph has an initial value of 20 , and each successive term is determined by multiplying by 1 third .
D
The graph has an initial value of 20 , and each successive term is determined by subtracting 1 third .
3

The first three steps in determining the solution set of the system of equations, y is equal to negative x squared minus 2 x plus 8 and y is equal to 2 x plus 11 , algebraically are shown in the table. Step Equation Step 1 negative x squared minus 2 x plus 8 is equal to 2 x plus 11 Step 2 0 is equal to x squared plus 4 x plus 3 Step 3 0 is equal to open paren x plus 1 close paren times open paren x plus 3 close paren Which represents the solution(s) of this system of equations?

A
negative 3 comma 5 and negative 1 comma 9
B
negative 3 comma 5
C
negative 3 comma negative 1
D
1 comma 13 and 3 comma 20
4

What is the midpoint of the x -intercepts of f of x is equal to open paren x minus 4 close paren times open paren x plus 4 close paren ?

A
0 comma 0
B
2 comma 0
C
0 comma 4
D
negative 4 comma 0
5

What is the product? 3 A open paren 8 A minus 6 b close paren

A
24 A squared minus 6 b
B
24 A squared minus 6 A b
C
24 A squared minus 18 b squared
D
24 A squared minus 18 A b
6

Which term can be added to the list so that the greatest common factor of the three terms is 12 h cubed ? 36 h cubed , 12 6th power of h , __________

A
48 5th power of h
B
30 4th power of h
C
6 h cubed
D
12 h raised to the 2 power
7

Which graph represents a reflection of f of x is equal to 1 third times 9 to the x th power across the x -axis?

A
Image with description A coordinate plane with an exponential curve. The x-axis is labeled from negative 2 to 8 in increments of 1 and the y-axis is labeled from negative 8 to 2 in increments of 1. The curve begins in the lower-left area of the plane near x equals 0 and y equals negative 7, and rises steeply with a positive slope before becoming nearly flat and approaching the x-axis from below as it extends to the right. The curve does not extend to the left of x equals 0.
B
Image with description A coordinate plane with an exponential curve. The x-axis is labeled from negative 7 to 3 in increments of 1 and the y-axis is labeled from negative 2 to 8 in increments of 1. The curve is nearly flat and very close to the x-axis across the left portion of the plane, then curves sharply upward with a steep positive slope in the right portion of the plane, rising past y equals 8 near x equals 1. The curve does not extend to the right of x equals 1.
C
Image with description A coordinate plane with an exponential curve. The x-axis is labeled from negative 8 to 2 in increments of 1 and the y-axis is labeled from negative 8 to 2 in increments of 1. The curve is nearly flat and very close to the x-axis across the left portion of the plane, then descends steeply with a steep negative slope in the right portion of the plane, falling past y equals negative 8 near x equals 0. The curve does not extend to the right of x equals 0.
D
Image with description A coordinate plane with an exponential curve. The x-axis is labeled from negative 2 to 8 in increments of 1 and the y-axis is labeled from negative 2 to 8 in increments of 1. The curve begins in the upper-left area of the plane near x equals 0 and y equals 7, and descends steeply with a negative slope, becoming nearly flat and approaching the x-axis as it extends to the right. The curve does not extend to the left of x equals 0.
8

Which expressions are equivalent to cube root of 128 to the x th power ? Choose three correct answers.

A
128 raised to the x over 3 power
B
open paren 2 cube root of 4 close paren to the x th power
C
128 raised to the 3 over x power
D
open paren 4 cube root of 2 close paren to the x th power
E
open paren 4 times open paren 2 raised to the 1 third power close paren close paren to the x th power
9

The monomial 36 x to the 4th power is a perfect square. What is the square root of 36 x to the 4th power ?

A
6 x to the 4th power
B
6 x squared
C
18 x to the 4th power
D
18 x squared
10

The variables cap A , cap b , and cap c represent polynomials where cap A is equal to x plus 1 , cap b is equal to x squared plus 2 x minus 1 , and cap c is equal to 2 x What is cap A cap b plus cap c in simplest form?

A
x cubed plus 4 x minus 1
B
x cubed plus 2 x squared minus x plus 1
C
x cubed plus 3 x squared plus 3 x minus 1
D
x cubed plus 3 x minus 1
11

The graph of y is equal to x squared plus 11 x plus 24 is equivalent to the graph of which equation?

A
y is equal to open paren x plus 4 close paren times open paren x plus 6 close paren
B
y is equal to open paren x plus 8 close paren times open paren x plus 3 close paren
C
y is equal to open paren x plus 9 close paren times open paren x plus 2 close paren
D
y is equal to open paren x plus 7 close paren times open paren x plus 4 close paren
12

Joline is solving the equation 0 is equal to x squared minus 5 x minus 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

A
negative 1
B
negative 4
C
negative 5 point 7
D
negative 0 point 7
13

Solve x squared plus 12 x is equal to negative 11 by completing the square. Which is the solution set of the equation?

A
start set 11 comma 1 end set
B
start set 11 comma negative 1 end set
C
start set negative 11 comma 1 end set
D
start set negative 11 comma negative 1 end set
14

Shenika factored the polynomial completely. What is the value of cap A ? 5 x cubed plus 35 x squared plus 6 x plus 42 open paren 5 x squared plus cap A close paren times open paren x plus cap b close paren

A
7
B
6
C
1
D
5
15

A poll is being taken on Wednesday to predict which movie will be the most popular at the city’s movie theaters the next weekend: an animated movie, an action movie, or a romantic comedy. Which group would best represent a sample population?

A
every fifth person walking down the street in several different locations throughout town at different times of day
B
every fifth person coming out of the high school
C
every fifth person in the mall’s food court at lunchtime
D
every fifth person coming out of the downtown grocery store at different times throughout the day
16

The equation x squared minus 1 x minus 90 is equal to 0 has solutions start set A comma b end set What is A plus b ?

A
1
B
negative 19
C
10
D
negative 9
17

Which is a zero of the quadratic function f of x is equal to 4 x squared plus 24 x plus 11 ?

A
x is equal to 0 point 5
B
x is equal to 3 point 2 5
C
x is equal to negative 9 point 2 5
D
x is equal to negative 5 point 5
18

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Subject Taught English Not English Total Math 34 22 56 Not Math 40 8 48 Total 74 30 104 Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

A
21 percent
B
38 percent
C
8 percent
D
33 percent
19

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. Television Viewing Method Average Household Age Under 40 Average Household Age 40 or Older Total Internet 54 23 77 Cable 81 92 173 Total 135 115 250 Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method Average Household Age Under 40 Average Household Age 40 or Older Total Internet cap w cap x 1 point 0 Cable cap y cap z 1 point 0 Total 0 point 5 4 0 point 4 6 1 point 0 Which value should she use for cap x ? Round to the nearest hundredth.

A
0 point 3 0
B
0 point 2 0
C
0 point 2 5
D
0 point 0 9
20

Which polynomial is prime?

A
x cubed plus 3 x squared minus 2 x minus 6
B
10 x squared minus 10 x plus 6 x minus 6
C
10 x squared minus 4 x plus 3 x plus 6
D
x cubed plus 3 x squared plus 2 x plus 6

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