AnswersAlgebra IIRelationships Between Quantities

Practice Test Answers

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What are the domain and range of the function?

A
domain: open paren negative 3 comma 0 close paren range: left bracket negative 2 comma infinity right parenthesis
B
domain: open paren negative infinity comma infinity close paren range: left bracket negative 2 comma infinity right parenthesis
C
domain: open paren negative 2 comma infinity close paren range: open paren negative infinity comma infinity close paren
D
domain: open paren negative 4 comma 0 close paren range: open paren negative 2 comma infinity close paren
3

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

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

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 1 fifth x minus 4 fifths
D
f inverse of x is equal to negative 4 x plus 5
7

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 2 cap e minus m end root
B
v is equal to 2 cap e minus m
C
v is equal to plus or minus square root of m over 2 cap e end root
D
v is equal to plus or minus square root of 2 cap e over m end root
9

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 empty for the entire 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 deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
10

What are the domain and range of the function f of x is equal to 5 raised to the x minus 3 power plus 1 ?

A
domain: all real numbers range: all real numbers greater than 0
B
domain: all real numbers less than 5 range: all real numbers greater than 1
C
domain: all real numbers range: all real numbers greater than 1
D
domain: all real numbers greater than 1 range: all real numbers

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Practice Test Answers — Algebra II