AnswersAlgebra IIRelationships Between Quantities

Practice Test Answers

18 verified answers
1
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Which graph represents an even function?

A
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 8 points. The points are (negative 4 comma 2), (negative 3 comma negative 1), (negative 1 comma negative 3), (0 comma 1), (1 comma 0), (2 comma negative 4), (4 comma 5), and (5 comma 4).
B
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 5 comma 2), (negative 4 comma 1), (negative 3 comma 3), (negative 2 comma 5), (2 comma negative 2), (3 comma negative 5), (4 comma negative 6).
C
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 4 comma negative 3), (negative 3 comma negative 5), (negative 2 comma 1), (0 comma 0), (2 comma 1), (3 comma negative 5), and (4 comma negative 3).
D
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 3 comma negative 6), (negative 2 comma negative 4), (negative 1 comma negative 2), (0 comma 0), (1 comma 2), (2 comma 4), and (3 comma 6).
2
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The cost of producing x soccer balls in thousands of dollars is represented by h of x is equal to 5 x plus 6 The revenue is represented by k times x is equal to 9 x minus 2 Which expression represents the profit, open paren k minus h close paren times x , of producing soccer balls?

A
14 x minus 8
B
4 x plus 4
C
14 x plus 4
D
4 x minus 8
3

For which pair of functions is open paren f circ g close paren times x is equal to 12 x ?

A
f of x is equal to 3 minus 4 x and g of x is equal to 16 x minus 3
B
f of x is equal to square root of x and g of x is equal to 144 x
C
f of x is equal to 4 x and g of x is equal to 3 x
D
f of x is equal to 6 x squared and g of x is equal to 2 over x
4

If f of x is equal to x squared minus 25 and g of x is equal to x minus 5 , what is the domain of open paren f over g close paren of x ?

A
all real values of x except x is equal to 5
B
all real values of x
C
all real values of x except x is equal to 5 and x is equal to negative 5
D
all real values of x except x is equal to negative 5
5

If f of x is equal to 3 x squared and g of x is equal to 4 x cubed plus 1 , what is the degree of open paren f circ g close paren times x ?

A
6
B
3
C
5
D
2
6

Which equation represents a linear function?

A
y times open paren y minus 1 close paren is equal to x plus 25
B
y minus 5 is equal to x minus 20
C
y times open paren x minus 1 close paren is equal to 9
D
y minus 5 is equal to x times open paren negative x plus 2 close paren
7

The width of a photograph is 4 inches. Tori measures its width using the two rulers, both of which measure in inches. Open image in full-screen view Which statement is true about the accuracy and precision of the rulers?

A
The measurement found using Ruler 1 is more precise but less accurate.
B
The measurement found using Ruler 1 is more accurate but less precise.
C
The measurement found using Ruler 1 is more accurate and more precise.
D
The measurement found using Ruler 2 is more accurate and more precise.
8

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
B
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
C
The pool must have been empty for the entire interval.
D
The pool must have been deeper at the end of the interval than it was at the start of the interval.
9

The height in feet, h , of a model rocket t seconds after launch is given by the equation h of t is equal to 3 plus 70 t minus 16 t squared The average rate of change in h of t between t is equal to 1 second and t is equal to 3 second is 6 What does the average rate of change tell you about the rocket?

A
The rocket is traveling six times as fast when t is equal to 3 than it is when t is equal to 1 .
B
The rocket is 6 feet higher above the ground when t is equal to 3 than it is when t is equal to 1 .
C
The rocket is at a greater height when t is equal to 3 than it is when t is equal to 1 .
D
The rocket is traveling at a constant rate of 6 feet per second between t is equal to 1 and t is equal to 3 .
10

A boat has a speed of 15 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c , the speed of the current in miles per hour?

A
15 minus 3 c is equal to 15 plus 2 c
B
3 times open paren 15 minus c close paren is equal to 2 times open paren 15 plus c close paren
C
2 times open paren 15 minus c close paren is equal to 3 times open paren 15 plus c close paren
D
15 minus c is equal to 15 plus c
11

Which description could be written as a linear function?

A
eight more than twice a number
B
three more than the product of two numbers
C
ten more than the square of a number
D
nine more than one divided by a number
12

Which statement best describes how to determine whether f of x is equal to x squared minus x plus 8 is an even function?

A
Determine whether negative x squared minus negative x plus 8 is equivalent to x squared minus x plus 8 .
B
Determine whether negative x squared minus negative x plus 8 is equivalent to negative open paren x squared minus x plus 8 close paren .
C
Determine whether negative x squared minus negative x plus 8 is equivalent to negative open paren x squared minus x plus 8 close paren .
D
Determine whether negative x squared minus negative x plus 8 is equivalent to x squared minus x plus 8 .
13

The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the width of the rectangle in inches, which equation can be used to find its value?

A
2 times open paren x plus 6 close paren plus 2 x is equal to 28
B
2 times open paren x plus 6 close paren is equal to 28
C
x plus 6 plus 2 x is equal to 28
D
6 x plus 6 x plus x plus x is equal to 28
14

Which function is the inverse of f of x is equal to negative 5 x minus 4 ?

A
f inverse of x is equal to negative 1 fifth x plus 4 fifths
B
f inverse of x is equal to negative 4 x plus 5
C
f inverse of x is equal to 4 x plus 4
D
f inverse of x is equal to negative 1 fifth x minus 4 fifths
15

If the function f of x is equal to m x plus b has an inverse function, which statement must be true?

A
b is not equal to 0
B
m is not equal to 0
C
b is equal to 0
D
m is equal to 0
16

The scatterplot shows the number of minutes spent reading, x , and the number of pages read, y , by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

A
y is equal to 11 sevenths x minus 263 sevenths
B
y is equal to 7 over 11 x plus 29 over 11
C
y is equal to 11 sevenths x minus 43 sevenths
D
y is equal to 7 over 11 x plus 169 over 11
17

Whose measurements are the most accurate?

A
Mariya’s
B
Yuto’s
C
Misaki’s
D
Andrey’s
18

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

A
27 points
B
40 points
C
22 points
D
18 points

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