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The scatterplot shows the ages and finishing times of seven men who ran a charity 5 cap k run. Use the labeled points to create a linear model that predicts the race time in minutes, y , of a man of any age, x Which equation represents this linear model?

A
y is equal to 2 point 1 4 6 x minus 27 point 5 7
B
y is equal to 2 point 1 4 6 x minus 2 point 0 7
C
y is equal to 0 point 4 7 x plus 7 point 7 2
D
y is equal to 0 point 4 7 x plus 29 point 1 5
2
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Assuming only positive domain values, which statement is true of the graph that represents the total cost, y , in dollars for shipping items that weigh x ounces?

A
The graph is discontinuous at x is equal to 5 , x is equal to 10 , and x is equal to 15 .
B
For every 1 -ounce increase in weight, the total shipping cost increases by 3 point 7 5 dollars .
C
The range values for the set of the data are 10 , 14 , 17 , and 21 .
D
The left side of each horizontal interval is a closed circle, and the right side is an open circle.
3

The scores of an eighth-grade math test have a normal distribution with a mean mu is equal to 83 and a standard deviation sigma is equal to 5 If Din’s test score was 92 , which expression would she write to find the z -score of her test score?

A
z is equal to the fraction with numerator 92 minus 83 and denominator 83
B
z is equal to the fraction with numerator 92 minus 83 and denominator 5
C
z is equal to the fraction with numerator 5 minus 83 and denominator 92
D
z is equal to the fraction with numerator 83 minus 92 and denominator 5
4

Which graph represents the following piecewise defined function? f of x equals enlarged left-brace first row negative 2 x comma x less than negative 1. Second row negative 1 comma negative 1 less than or equal to x less than 2. Third row x minus 1 comma x greater than or equal to 2.

A
Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and a closed circle at (2 comma negative 1).
B
Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has an open circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 2) and a closed circle at (1 comma negative 2).
C
Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has a filled-in circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).
D
Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).
5

Which expression is equivalent to negative 8 ?

A
open paren negative 1 half close paren to the negative 3 power
B
1 half to the negative 3 power
C
2 to the negative 3 power
D
negative 2 to the negative 3 power
7

Which step is included in the graph of the function f of x is equal to lceil x minus 1 rceil ?

A
y is equal to negative 5 for negative 4 is less than x comma x is less than or equal to negative 3
B
y is equal to negative 2 for negative 2 is less than x comma x is less than or equal to negative 1
C
y is equal to negative 5 for negative 4 is less than or equal to x comma x is less than negative 3
D
y is equal to negative 2 for negative 2 is less than or equal to x comma x is less than negative 1
8

What are the domain and range of the function f of x is equal to negative square root of x plus 3 end root minus 2 ?

A
domain: negative 3 is less than or equal to x comma x is less than or equal to negative 2 range: y is greater than or equal to negative 2
B
domain: x is greater than or equal to negative 3 range: y is greater than or equal to negative 2
C
domain: negative 3 is less than or equal to x comma x is less than or equal to negative 2 range: y is less than or equal to negative 2
D
domain: x is greater than or equal to negative 3 range: y is less than or equal to negative 2
9

An ice hockey team is considering changing their team name and mascot and would like to measure city support for the change. Which of the following methods would not provide a voluntary response sample?

A
The team allows fans to call in to a sports radio talk show to share their opinions.
B
The team places a table at a shopping center for fans to visit and share their opinions.
C
A survey is placed on the team website where fans can register their opinions.
D
At one of the team’s games, a person surveys the first 50 people who arrive at the game.
12

Which expression is equivalent to open paren 2 raised to the 1 half power times 2 raised to the 3 fourths power close paren squared ?

A
4th root of 2 cubed
B
4th root of 4 cubed
C
square root of 2 to the 5th power end root
D
square root of 4 to the 5th power end root
13

What is the value of the log base 0 point 5 of 16 ?

A
negative 4 point 0 0
B
1 point 5 1
C
2 point 4 1
D
negative 0 point 2 5
14

What is the solution to 4 plus 5 e raised to the x plus 2 power is equal to 11 ?

A
x is equal to natural log 7 fifths minus 2
B
x is equal to natural log 7 fifths plus 2
C
x is equal to natural log 35 minus 2
D
x is equal to natural log 35 plus 2
17

What is the solution to the equation 1 over x is equal to the fraction with numerator x plus 3 and denominator 2 x squared ?

A
x is equal to negative 3 and x is equal to 0
B
x is equal to 3
C
x is equal to 0 and x is equal to 3
D
x is equal to negative 3
18

Which of the following is the graph of y is equal to the fraction with numerator 1 and denominator x plus 2 plus 1 ?

A
Image with description On a coordinate plane, the x and y axes list from negative 5 to 5 in increments of 1. 2 curves are shown. Both curves have an asymptote at x equals 2. One curve opens up and to the right in quadrant 1. The other curve opens down to the left and crosses the x axis at (1 comma 0).
B
Image with description On a coordinate plane, the x and y axes list from negative 5 to 5 in increments of 1. 2 curves are drawn. Both curves have an asymptote at x equals negative 2. One curve opens up and to the right in quadrants 1 and 2 and crosses the y axis at (0 comma 1 point 5). The other curve opens down to the left and crosses the x axis at (negative 3 comma 0).
C
Image with description On a coordinate plane, the x and y axes list from negative 5 to 5 in increments of 1. 2 curves are shown. Both curves have an asymptote at x equals negative 2. One curve opens up and to the right in quadrants 2, and 4. It crosses the x-axis at (negative 1 comma 0). The other curve opens down and to the left in quadrant 3.
D
Image with description On a coordinate plane, the x and y axes list from negative 5 to 5 in increments of 1. 2 curves are drawn. Both curves have an asymptote at x equals 2. One curve opens up and to the right in quadrants 1 and 4. The other curve opens down to the left and crosses the y axis at (0 comma negative 1 point 5).
19

What is the value of cap A in the matrix equation? cap A plus the 2 by 4 matrix, row 1, column 1, 3 column 2, 9 column 3, negative 1 column 4, negative 8 row 2, column 1, 16 column 2, negative 2 column 3, 3 column 4, 13 is equal to the 2 by 4 matrix, row 1, column 1, 0 column 2, negative 5 column 3, 6 column 4, 10 row 2, column 1, 3 column 2, 0 column 3, negative 2 column 4, 7

A
the 2 by 4 matrix, row 1, column 1, negative 3 column 2, negative 14 column 3, 7 column 4, 2 row 2, column 1, negative 13 column 2, 2 column 3, negative 5 column 4, negative 6
B
the 2 by 4 matrix, row 1, column 1, negative 3 column 2, negative 14 column 3, 7 column 4, 2 row 2, column 1, 19 column 2, 2 column 3, negative 5 column 4, negative 6
C
the 2 by 4 matrix, row 1, column 1, negative 3 column 2, negative 14 column 3, 7 column 4, 18 row 2, column 1, negative 13 column 2, 2 column 3, negative 5 column 4, negative 6
D
the 2 by 4 matrix, row 1, column 1, negative 3 column 2, negative 14 column 3, 7 column 4, 18 row 2, column 1, 19 column 2, 2 column 3, negative 5 column 4, negative 6
20

Which of the following is true regarding the solution to the logarithmic equation? log sub 2 of open paren x plus 11 close paren is equal to 4 x plus 11 is equal to 2 to the 4th power x plus 11 is equal to 16 x is equal to 5

A
x is equal to 5 is a true solution because log sub 4 of 16 is equal to 2
B
x is equal to 5 is not a true solution because log sub 5 of 16 is not equal to 2
C
x is equal to 5 is a true solution because log sub 2 of 16 is equal to 4
D
x is equal to 5 is not a true solution because log sub 5 of 16 is not equal to 4

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