AnswersAlgebra IIRelationships Between Quantities

Practice Test Answers

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Which system of equations can be graphed to find the solution(s) to 4 x squared is equal to x squared plus 7 ?

A
y is equal to 3 x squared plus 7 y is equal to x squared plus 7
B
y is equal to 4 x squared y is equal to 4 x squared plus 7
C
y is equal to 4 x squared y is equal to x squared plus 7
D
y is equal to 3 x squared y is equal to x squared plus 7
2
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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 .
3

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 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).
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 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).
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 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).
4

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 at a constant rate of 6 feet per second between t is equal to 1 and t is equal to 3 .
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 at a greater height when t is equal to 3 than it is when t is equal to 1 .
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 .
5

Which relation represents a one-to-one function?

A
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 2'; Column 2, '5' Row 3: Column 1, 'negative 1'; Column 2, '2' Row 4: Column 1, '0'; Column 2, '1' Row 5: Column 1, '1'; Column 2, '2' Row 6: Column 1, '2'; Column 2, '5'
B
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '7 point 2 5'; Column 2, '11' Row 3: Column 1, '7 point 5'; Column 2, '13' Row 4: Column 1, '7 point 7 5'; Column 2, '15' Row 5: Column 1, '8'; Column 2, '13' Row 6: Column 1, '8 point 5'; Column 2, '11'
C
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '5'; Column 2, '26' Row 3: Column 1, '14'; Column 2, '197' Row 4: Column 1, '7'; Column 2, '50' Row 5: Column 1, '13'; Column 2, '170' Row 6: Column 1, '12'; Column 2, '197'
D
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '9'; Column 2, '12' Row 3: Column 1, '2'; Column 2, '7' Row 4: Column 1, '4'; Column 2, '9' Row 5: Column 1, '1'; Column 2, '13' Row 6: Column 1, '5'; Column 2, '5'
6

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
C
all real values of x except x is equal to negative 5
D
all real values of x except x is equal to 5
7

What is the domain of the relation graphed?

A
domain: start set x such that negative 1 is less than or equal to x comma x is less than or equal to 1 end set
B
domain: start set x such that x is in the real numbers end set
C
domain: start set x such that negative 4 is less than or equal to x comma x is less than or equal to 4 end set
D
domain: start set x such that x is in the natural numbers end set
8

What is the value of open paren f minus g close paren of 5 ?

A
negative 4
B
16
C
negative 18
D
42
9

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval left bracket 9 comma 11 right bracket ?

A
5 halves
B
2 fifths
C
1
D
2
10

Carlos graphs the equations y is equal to negative 1 half x squared plus 4 and y is equal to negative 1 half x squared minus 2 x plus 2 and generates the graph. Which conclusion is supported by the graph?

A
The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has four real solutions.
B
The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has one real solution.
C
The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has no real solutions.
D
The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has two real solutions.

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