AnswersMathematics 8Input-Output Relationships

Practice Test Answers

8 verified answers
1
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Which figure correctly demonstrates using a straight line to determine that the graphed equation is not a function of x ?

A
Image with description A Cartesian coordinate plane with horizontal x- and vertical y-axes labeled from negative 4 to 4. A circle is centered at the origin (0 comma 0) with a radius of 4 units. A vertical line with arrowheads at both ends passes through x equals 1, intersecting the circle at two points marked with solid dots, approximately at (1 comma 3.9) and (1 comma negative 3.9).
B
Image with description A Cartesian coordinate plane with horizontal x- and vertical y-axes labeled from negative 4 to 4. A circle is centered at the origin (0 comma 0) with a radius of 4 units. A horizontal line with arrowheads at both ends passes through y equals 2, intersecting the circle at two points marked with solid dots, approximately at (negative 3.5 comma 2) and (3.5 comma 2).
C
Image with description A Cartesian coordinate plane with horizontal x- and vertical y-axes labeled from negative 4 to 4. A circle is centered at the origin (0 comma 0) with a radius of 4 units, passing through (4 comma 0), (0 comma 4), (negative 4 comma 0), and (0 comma negative 4). A horizontal line with arrowheads at both ends passes through y equals 4 and is tangent to the circle at the point (0 comma 4), which is marked with a solid dot.
D
Image with description A Cartesian coordinate plane with horizontal x- and vertical y-axes labeled from negative 4 to 4. A circle is centered at the origin (0,0) with a radius of 4 units, passing through (4 comma 0), (0 comma 4), (negative 4 comma 0), and (0 comma negative 4). A vertical line with arrowheads at both ends passes through x equals negative 4 and is tangent to the circle at the point (negative 4 comma 0), which is marked with a solid dot.
2
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Which relation is a function of x ?

A
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A graph that resembles a sideways letter S starts at (negative 2 point 5 comma negative 5) and increases close to (negative 1 point 5 comma 4). From the same point to (0 comma negative 1) the graph decreases. From (0 comma negative 1) the graph increases to the top of the first quadrant.
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '2' Row 3: Column 1, '0'; Column 2, 'negative 6' Row 4: Column 1, '0'; Column 2, '9' Row 5: Column 1, '0'; Column 2, '7'
C
x is equal to 3 y squared minus 7
D
start set open paren 1 comma 2 close paren comma open paren 7 comma 6 close paren comma open paren 3 comma 2 close paren comma open paren 1 comma 0 close paren times open paren 5 comma 6 close paren end set
3

The given table shows the total cost of admittance to a basketball game, y, for x students. x y 5 25 dollars 10 50 dollars 15 75 dollars 20 100 dollars Which explains how the table can be used to predict the cost of any number of students attending the game?

A
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y -column.
B
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x -column.
C
The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
D
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
4

Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same information, as shown. Word Problem A movie theater charges 8 point 0 0 dollars for each ticket. What is the total cost, y , for x tickets? Equation y is equal to 8 x Graph Open image in full-screen view Table x y 5 40 8 64 12 96 13 104 Which piece of information does not represent the same information as the other three parts?

A
word problem
B
equation
C
table
D
graph
5

How does the given graph change between point cap A and point cap b ?

A
The graph increases, then decreases.
B
The graph decreases.
C
The graph increases.
D
The graph decreases, then increases.
6

The given table represents the amount of money in Sylvester’s bank account as a function of the number of years since he opened the account. Does this situation represent a linear or non-linear function, and why?

A
It represents a linear function because there is not a constant rate of change.
B
It represents a linear function because there is a constant rate of change.
C
It represents a non-linear function because there is a constant rate of change.
D
It represents a non-linear function because there is not a constant rate of change.
7

What is the rate of change of the function?

A
negative 3
B
1 third
C
3
D
negative 1 third
8

Which description is the best interpretation of the graph?

A
Sonya accelerated as she drove down her driveway. She accelerated on the street on her way to the highway entrance. She waited for a red light, then accelerated onto the highway.
B
Sonya drove down her driveway at a constant speed until she reached the street. She turned and drove down the street at a constant speed. Her car went slower as she drove up a hill. At the top of the hill she drove into the parking lot of the movie theater.
C
Sonya backed out of her driveway at a constant speed and then accelerated until she reached the street where the movie was playing. She stopped the car.
D
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

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