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Practice Exam Answers

36 verified answers
21
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To graph the equation 2 x plus 5 y is equal to 10 , Zeplyn draws a line through the points 5 comma 0 and 0 comma 2 What is the slope of the line represented by 2 x plus 5 y is equal to 10 ?

A
negative 2 fifths
B
5 halves
C
2 fifths
D
negative 5 halves
22
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The function f of x is equal to 5 times 1 fifth to the x th power is reflected over the y -axis. Which equations represent the reflected function? Choose two correct answers.

A
f of x is equal to 1 fifth 1 fifth 1 fifth to the x th power
B
f of x is equal to 1 fifth times 5 raised to the negative x power
C
f of x is equal to 5 times 1 fifth raised to the negative x power
D
f of x is equal to 5 times 5 raised to the negative x power
E
f of x is equal to 5 times 5 to the x th power
23

An exponential growth function has an asymptote of y is equal to negative 3 Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been subtracted from the exponent.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been added to the exponential expression.
24

Consider the function represented by the equation x minus y is equal to 3 What is the equation written in function notation, with x as the independent variable?

A
f of x is equal to negative x plus 3
B
f of x is equal to y plus 3
C
f of x is equal to negative y minus 3
D
f of x is equal to x minus 3
25

Tickets to the school play cost $⁢8 for regular tickets and $⁢5 for student tickets. The number of regular tickets sold for Friday’s show was 10 more than half the number of student tickets sold. If $⁢296 was collected from ticket sales for Friday’s show, how many student tickets were sold?

Answer:

24

26

Which is the graph of the sequence defined by the function f of open paren x plus 1 close paren is equal to 3 fifths f x when the first term in the sequence is 375 ?

A
Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 375), (2 comma 225), (3 comma 135), (4 comma 81).
B
Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 375), (1 comma 225), (2 comma 135), (3 comma 81).
C
Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 375), (1 comma 75), (2 comma 15), (3 comma 3).
D
Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 375), (2 comma 75), (3 comma 15), (4 comma 3).
27

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 6' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, 'negative 6'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 10' Row 4: Column 1, '3'; Column 2, 'negative 18' Row 5: Column 1, '4'; Column 2, 'negative 26'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 4' Row 4: Column 1, '3'; Column 2, 'negative 8' Row 5: Column 1, '4'; Column 2, 'negative 16'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 5' Row 4: Column 1, '3'; Column 2, 'negative 9' Row 5: Column 1, '4'; Column 2, 'negative 14'
28

Which is a stretch of an exponential growth function?

A
f of x is equal to 3 halves times 2 thirds to the x th power
B
f of x is equal to 3 halves times 3 halves to the x th power
C
f of x is equal to 2 thirds times 2 thirds to the x th power
D
f of x is equal to 2 thirds times 3 halves to the x th power
29

Sianna bought 3 pens, 4 notebooks, and a calculator. The calculator cost 25 dollars If x represents the cost of each pen and y represents the cost of each notebook, which expression represents the amount of change Sianna should receive from 50 dollars ?

A
50 minus open paren 3 x plus 4 y plus 25 close paren
B
3 x plus 4 y plus 25
C
3 x plus 4 y plus 25 plus 50
D
50 minus open paren 3 x plus 4 y close paren
30

Which statements about the system are true? Choose two correct answers. y is equal to 1 third x minus 4 3 y minus x is equal to negative 7

A
The system has one solution.
B
Both lines have the same slope.
C
Both lines have the same y –intercept.
D
The equations represent the same line.
E
The system consists of parallel lines.
31

Laurie is trying to stay within 10 feet of her current diving depth of negative 30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

A
negative 30 minus x is equal to 10 and negative 30 minus x is equal to negative 10
B
x minus 10 is equal to 30 and x minus 10 is equal to negative 30
C
x plus 10 is equal to 30 and x plus 10 is equal to negative 30
D
negative 30 plus x is equal to 10 and negative 30 plus x is equal to negative 10
32

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

A
720 feet
B
2 feet
C
12 feet
D
7,200 feet
33

What is the value of p in the linear equation 24 p plus 12 minus 18 p is equal to 10 plus 2 p minus 6 ?

A
2
B
negative 2
C
negative 4
D
4
34

What is the inverse of the function f of x is equal to x plus 3 ?

A
h of x is equal to 1 third x minus 3
B
h of x is equal to x plus 3
C
h of x is equal to x minus 3
D
h of x is equal to 1 third x plus 3
35

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6 -passenger cars, x , and the number of 3 -passenger cars y ? (Not all points may apply to the scenario.)

A
Image with description On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded.
B
Image with description On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the left of the line is shaded.
C
Image with description On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.
D
Image with description On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above and to the right of the line is shaded.
36

Which point is on the line that passes through point cap r and is perpendicular to line PQ ?

A
open paren 0 comma negative 1 close paren
B
open paren 2 comma 4 close paren
C
open paren negative 4 comma negative 8 close paren
D
open paren negative 6 comma 10 close paren

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