Practice Exam Answers

36 verified answers
3

An exponential function f of x is reflected across the x -axis to create the function g of x Which is a true statement regarding f of x and g of x ?

A
The two functions will cross each other on the axis.
B
The two functions have opposite output values of each other for any given input value.
C
The two functions have reciprocal output values of each other for any given input value.
D
The two functions have the same initial value.
5

Which number line represents the solution set for the inequality 3 x is less than negative 9 ?

A
Image with description A number line from negative 4 to positive 4 in increments of 1. An open point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
B
Image with description A number line from negative 4 to positive 4 in increments of 1. A solid point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
C
Image with description A number line from negative 4 to positive 4 in increments of 1. An open point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
D
Image with description A number line from negative 4 to positive 4 in increments of 1. A solid point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
6

What is the equation of the line in slope-intercept form that is perpendicular to the line y is equal to 3 fourths x minus 2 and passes through the point negative 12 comma 10 ?

A
y is equal to 4 thirds x plus 26
B
y is equal to negative 4 thirds x minus 6
C
y is equal to negative 4 thirds x plus 6
D
y is equal to 4 thirds x plus 10
7

Which statements are true about the graph of the system of linear inequalities? Choose two correct answers. y is greater than 3 x minus 4 y is less than or equal to 1 half x plus 1

A
There are no solutions to the system.
B
The graphs of the two inequalities intersect the y -axis at 0 comma 1 and 0 comma 4 .
C
The graph of y is less than or equal to 1 half x plus 1 has shading below a dashed line.
D
The graph of y is greater than 3 x minus 4 has shading above a dashed line.
E
The graphs of the inequalities will intersect.
8

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for 3 dollars , and each cheeseburger sells for 3 point 50 dollars Which system of inequalities represents the number of hamburgers, h , and the number of cheeseburgers, c , he must sell to have sales of at least 80 dollars ?

A
h plus c is less than or equal to 100 3 h plus 3 point 5 c is greater than or equal to 80
B
h plus c is less than or equal to 80 3 h plus 3 point 5 c is greater than or equal to 100
C
h plus c is less than or equal to 100 3 h plus 3 point 5 c is less than or equal to 80
D
h plus c is less than or equal to 80 3 h plus 3 point 5 c is less than or equal to 100
9

Which graph represents a function?

A
Image with description On a coordinate plane, a curved line crosses the y-axis at (0, 1.5), the x-axis at (negative 2, 0), and the y-axis at (0, negative 1.5).
B
Image with description On a coordinate plane, a line with 2 angles crosses the x-axis at (negative .5, 0), the y-axis at (0, 1), turns at (1, 3), crosses the x-axis at (1, 0), turns at (1, negative 2), and crosses the x-axis at (2, 0).
C
Image with description On a coordinate plane, a line enters the plane at point (negative 5, 4), makes a 90-degree turn at (negative 1, 0), and leaves the plane at point (negative 5, negative 4).
D
Image with description On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
10

A direct variation function contains the points negative 9 comma negative 3 and negative 12 comma negative 4 Which equation represents the function?

A
y is equal to negative x over 3
B
y is equal to 3 x
C
y is equal to x over 3
D
y is equal to negative 3 x
12

Which statement about f of x and its translation, g of x , is true? f of x is equal to 2 fifths to the x th power g⁡(x)=((2)/(5))^x−3

A
The range of g of x is, start set y such that y is greater than 0 end set and the range of f of x is start set y such that y is greater than negative 3 end set .
B
The asymptote of g of x is the asymptote of f of x shifted three units up.
C
The asymptote of g of x is the asymptote of f of x shifted three units down.
D
The range of g of x is, start set y such that y is greater than 3 end set and the range of f of x is start set y such that y is greater than 0 end set .
13

Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

A
The line of g of x is steeper and has a lower y -intercept.
B
The line of g of x is steeper and has a higher y -intercept.
C
The line of g of x is less steep and has a lower y -intercept.
D
The line of g of x is less steep and has a higher y -intercept.
14

Last week, Lindsay earned 10 dollars per hour plus a 60 dollars bonus for good job performance. She spends 1 fifteenth of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1 tenth of her paycheck. Which equation can be used to find h , the number of hours Lindsay worked last week?

A
1 fifteenth h open paren 10 plus 60 close paren is equal to 1 tenth h 10
B
1 fifteenth times open paren 10 h plus 60 h close paren is equal to 1 tenth times 10 h
C
1 fifteenth times open paren 10 h plus 60 close paren is equal to 1 tenth times 10 h
D
1 fifteenth times open paren 10 plus 60 h close paren is equal to 1 tenth times 10 h
15

A line that passes through the points negative 4 comma 10 and negative 1 comma 5 can be represented by the equation y is equal to negative 5 thirds open paren x minus 2 close paren Which equations also represent this line? Choose three correct answers.

A
3y is equal to minus 5x plus 10
B
5x plus 3y is equal to 10
C
y is equal to negative 5 thirds x plus 10 thirds
D
y is equal to minus 5 thirds x minus 2
E
3x plus 15y is equal to 30
16

Martin has a combination of 33 quarters and dimes worth a total of 6 dollars Which system of linear equations can be used to find the number of quarters, q , and the number of dimes, d , Martin has?

A
q plus d is equal to 33 25 q plus 10 d is equal to 6
B
q plus d is equal to 33 0 point 25 q plus 0 point 1 d is equal to 6
C
q plus d is equal to 6 25 q plus 10 d is equal to 33
D
q plus d is equal to 6 0 point 25 q plus 0 point 1 d is equal to 33
17

A sequence is defined recursively using the formula f of n plus 1 is equal to f of n minus 5 Which sequence could be generated using this formula?

A
4 comma 9 comma 14 comma 19 comma dots
B
2 comma 10 comma 50 comma 250 comma dots
C
1 comma negative 5 comma 25 comma negative 125 comma dots
D
3 comma negative 2 comma negative 7 comma negative 12 comma dots
18

Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

A
Image with description A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, goes down for a while, and then is steady over time.
B
Image with description A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, is steady for a while, and then goes down over time.
C
Image with description A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, goes up for a while, and then is steady over time.
D
Image with description A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, is steady for a while, and then goes up over time.
19

Which description of the graph of the linear inequality y is greater than 3 x minus 8 is correct?

A
The graph will be a solid line with a y -intercept of three and a slope of negative eight. The graph will be shaded above the line.
B
The graph will be a dashed line with a y -intercept of negative eight and a slope of three. The graph will be shaded below the line.
C
The graph will be a dashed line with a y -intercept of negative eight and a slope of three. The graph will be shaded above the line.
D
The graph will be a solid line with a y -intercept of three and a slope of negative eight. The graph will be shaded below the line.
20

Which linear function represents the line given by the point-slope equation y minus 8 is equal to 1 half times open paren x minus 4 close paren ?

A
f of x is equal to 1 half x plus 6
B
f of x is equal to 1 half x minus 10
C
f of x is equal to 1 half x minus 12
D
f of x is equal to 1 half x plus 4

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