AnswersMath 3Relationships Between Quantities

Practice Test Answers

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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 except x is equal to negative 5
C
all real values of x
D
all real values of x except x is equal to 5 and x is equal to negative 5
2
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Samuel wants to buy at least twice as many graphic novels as comic books. Comic books sell for 7 dollars each, and graphic novels sell for 12 dollars each. Samuel can spend a maximum of 50 dollars Let c represent the number of comic books, and let g represent the number of graphic novels. Which system of inequalities can be used to find the number of comic books and graphic novels Samuel can buy?

A
c plus g is less than or equal to 50 7 c plus 12 g is greater than or equal to 2 c is greater than or equal to 0 g is greater than or equal to 0
B
2 c is less than or equal to g 7 c plus 12 g is less than or equal to 50 c is greater than or equal to 0 g is greater than or equal to 0
C
c plus g is less than or equal to 50 c plus g is greater than or equal to 2 c is greater than or equal to 7 g is greater than or equal to 12
D
c is less than or equal to 2 g 7 c plus 12 g is less than or equal to 50 c is greater than or equal to 0 g is greater than or equal to 0
4

The equations negative A minus 7 b is equal to 14 and negative 4 A minus 14 b is equal to 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

A
Divide the second equation by 4 and add it to the first equation.
B
Multiply the first equation by negative 2 and add it to the second equation. Then solve the resulting equation, negative 2 A is equal to 0 .
C
Divide the second equation by negative 4 and add it to the first equation.
D
Multiply the first equation by 2 and add it to the second equation. Then solve the resulting equation, negative 2 A is equal to 0 .
5

Which equation is the inverse of y is equal to x squared minus 36 ?

A
y is equal to plus or minus square root of x plus 36 end root
B
y is equal to plus or minus square root of x plus 36
C
y is equal to plus or minus square root of x plus 6
D
y is equal to plus or minus square root of x squared plus 36 end root
6

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 equal to 0
C
m is not equal to 0
D
b is equal to 0
8

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 4 x plus 4
B
f inverse of x is equal to negative 1 fifth x plus 4 fifths
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
9

Which ordered pair open paren r comma s close paren is the solution to the given system of equations? 5 r plus 7 s is equal to 61 negative 5 r plus 7 s is equal to negative 19

A
open paren 1 comma negative 2 close paren
B
open paren 3 comma 8 close paren
C
open paren 1 comma 8 close paren
D
open paren 8 comma 3 close paren
12

Which equation is the inverse of y is equal to 7 x squared minus 10 ?

A
y is equal to the fraction with numerator plus or minus square root of x and denominator 7 plus or minus the fraction with numerator square root of 10 and denominator 7
B
y is equal to plus or minus square root of x over 7 plus 10 end root
C
y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root
D
y is equal to the fraction with numerator plus or minus square root of x plus 10 end root and denominator 7

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