AnswersAlgebra IIRelationships Between Quantities

Practice Test Answers

18 verified answers
1
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Which description could be written as a linear function?

A
ten more than the square of a number
B
eight more than twice a number
C
nine more than one divided by a number
D
three more than the product of two numbers
2
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Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
B
The graph of f of x has range of f of x is greater than or equal to negative 2 .
C
The graph of f of x opens downward.
D
The graph of f of x is a horizontal compression of the graph of the parent function.
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 square root of x and g of x is equal to 144 x
B
f of x is equal to 6 x squared and g of x is equal to 2 over x
C
f of x is equal to 3 minus 4 x and g of x is equal to 16 x minus 3
D
f of x is equal to 4 x and g of x is equal to 3 x
4

The formula to determine energy is cap e is equal to 1 half m v squared What is the formula solved for v ?

A
v is equal to plus or minus square root of m over 2 cap e end root
B
v is equal to 2 cap e minus m
C
v is equal to plus or minus square root of 2 cap e minus m end root
D
v is equal to plus or minus square root of 2 cap e over m end root
5

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
4 x plus 4
B
14 x minus 8
C
4 x minus 8
D
14 x plus 4
6

Which graph shows the solution to the inequality start absolute value x plus 3 end absolute value is greater than or equal to 2 ?

A
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on negative 5 and negative 1 and are going in the opposite direction.
B
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on 1 and 5 and are going in the opposite direction.
C
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on 1 and 5 and are connected.
D
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on negative 5 and negative 1 and are connected.
7

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

Which of the following is the graph of f of x is equal to 3 start absolute value x minus 4 end absolute value plus 1 ?

A
Image with description On a coordinate plane, the scale on the x axis ranges from negative 1 to 9 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (4 comma 1) and the graph passes through the points (3 comma 4) and (5 comma 4).
B
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 8 to 2 in increments of 1 and y-axis labeled from negative 3 to 7 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (negative 4 comma negative 1). From this point, the curve opens upwards, with its left branch passing through (negative 5 comma 2) and (negative 6 comma 5), and its right branch passing through (negative 3 comma 2) and (negative 2 comma 5).
C
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 9 to 1 in increments of 1 and y-axis labeled from negative 7 to 3 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (negative 4 comma 1). From this point, the curve opens downwards, with its left branch passing through (negative 5 comma negative 2) and (negative 6 comma negative 5), and its right branch passing through (negative 3 comma negative 2) and (negative 2 comma negative 5).
D
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 3 to 7 in increments of 1 and y-axis labeled from negative 7 to 3 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (4 comma negative 1). From this point, the curve opens downwards, with its left branch passing through (3 comma negative 4) and (2 comma negative 7), and its right branch passing through (5 comma negative 4) and (6 comma negative 7).
10

Celo used the simple interest formula cap A is equal to cap p times open paren 1 plus r t close paren to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

A
cap p is equal to cap A plus open paren 1 plus r t close paren
B
cap p is equal to the fraction with numerator cap A and denominator 1 plus r t
C
cap p is equal to cap A minus open paren 1 plus r t close paren
D
cap p is equal to the fraction with numerator 1 plus r t and denominator cap A
11

Which equation represents a linear function?

A
y minus 5 is equal to x times open paren negative x plus 2 close paren
B
y times open paren x minus 1 close paren is equal to 9
C
y minus 5 is equal to x minus 20
D
y times open paren y minus 1 close paren is equal to x plus 25
12

Fuaad solved an absolute value inequality and expressed the solution as negative 12 is less than x comma x is less than 7 What is another way to show Fuaad’s solution?

A
start set x such that x is greater than negative 12 or x comma negative 12 or x is less than 7 end set
B
the union of open paren infinity close paren and open paren 7 close paren
C
left parenthesis negative 12 comma 7 right bracket
D
start set x such that negative 12 is less than x comma x is less than 7 end set
13

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 at a greater height when t is equal to 3 than it is when t is equal to 1 .
B
The rocket is traveling six times as fast when t is equal to 3 than it is when t is equal to 1 .
C
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 .
D
The rocket is 6 feet higher above the ground when t is equal to 3 than it is when t is equal to 1 .
14

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 and x is equal to negative 5
B
all real values of x except x is equal to 5
C
all real values of x
D
all real values of x except x is equal to negative 5
15

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 4 x plus 4
C
f inverse of x is equal to negative 4 x plus 5
D
f inverse of x is equal to negative 1 fifth x minus 4 fifths
16

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 negative open paren x squared minus x plus 8 close paren .
B
Determine whether negative x squared minus negative x plus 8 is equivalent to x squared minus x plus 8 .
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 .
17

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 equal to 0
B
m is equal to 0
C
m is not equal to 0
D
b is not equal to 0
18

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
5
B
3
C
2
D
6

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