Practice Exam Answers

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Which quadratic inequality does the given graph represent?

A
y is greater than or equal to x squared minus 3
B
y is less than or equal to x squared minus 3
C
y is greater than or equal to x squared plus 3
D
y is less than or equal to x squared plus 3
3

If g of x and f of x are inverse functions, which graph represents g of x ?

A
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a curve opens open and to the left in quadrant 3. The curve starts at (0 comma 0) and curves gradually through (negative 4 comma negative 2).
B
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a curve opens up and to the left in quadrant 1. The curve starts at (0 comma 0) and curves up through (4 comma 1).
C
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a curve opens down and to the left in quadrant 2. The graph starts at (0 comma 0) and gradually curves through (negative 4 comma 2).
D
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a graph opens up and to the left in quadrant 1. The graph starts at (0 comma 0) and curves up sharply through (2 comma 4).
5

What is the margin of error?

A
1,050 g to 1,150 g
B
1,000 g to 2,000 g
C
1,150 g to 1,200 g
D
1,000 g to 1,200 g
6

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 one real solution.
B
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.
C
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.
D
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.
8

A polynomial function has a root of negative 7 with multiplicity 2 , a root of negative 1 with multiplicity 1 , a root of 2 with multiplicity 4 , and a root of 4 with multiplicity 1 If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

A
The graph of the function is negative on open paren 4 comma infinity close paren .
B
The graph of the function is positive on open paren 2 comma 4 close paren .
C
The graph of the function is negative on open paren negative 7 comma negative 1 close paren .
D
The graph of the function is positive on open paren negative infinity comma negative 7 close paren .
10

If f of x is equal to square root of 4 x plus 9 end root plus 2 , which inequality can be used to find the domain of f of x ?

A
4 x is greater than or equal to 0
B
square root of 4 x plus 9 end root plus 2 is greater than or equal to 0
C
4 x plus 9 is greater than or equal to 0
D
square root of 4 x is greater than or equal to 0
11

What is the factored form of 64 g cubed plus 8 ?

A
open paren 4 g plus 2 close paren times open paren 16 g squared plus 8 g minus 4 close paren
B
open paren 4 g plus 2 close paren times open paren 16 g squared plus 8 g plus 4 close paren
C
open paren 4 g plus 2 close paren times open paren 16 g squared minus 8 g plus 4 close paren
D
open paren 4 g plus 2 close paren times open paren 16 g squared minus 8 g minus 4 close paren
16

If f of negative 5 is equal to 0 , what are all the factors of the function f of x is equal to x cubed minus 19 x plus 30 ? Use the Remainder Theorem.

A
open paren x plus 2 close paren times open paren x minus 5 close paren times open paren x plus 3 close paren
B
open paren x plus 2 close paren times open paren x minus 5 close paren
C
open paren x minus 2 close paren times open paren x plus 5 close paren times open paren x minus 3 close paren
D
open paren x minus 2 close paren times open paren x plus 5 close paren
17

Which expression is equivalent to the fraction with numerator open paren A squared b to the 4th power c close paren squared times open paren 6 A cubed b close paren times open paren 2 c to the 5th power close paren cubed and denominator 4 A to the 6th power b to the 12th power c cubed ?

A
the fraction with numerator 9 A c to the 7th power and denominator b to the 5th power
B
the fraction with numerator 12 A c to the 14th power and denominator b cubed
C
the fraction with numerator 9 A c to the 14th power and denominator b cubed
D
the fraction with numerator 3 A c to the 7th power and denominator b to the 5th power
18

What is the sum of 12 minus 5 i and negative 3 plus 4 i ?

A
negative 16 plus 63 i
B
15 minus 9 i
C
9 minus i
D
9 minus 9 i
20

Solve for x in the equation x squared plus 11 x plus 121 fourths is equal to 125 fourths

A
x is equal to negative 11 halves plus or minus 25 halves
B
x is equal to negative 11 halves plus or minus the fraction with numerator 5 square root of 5 and denominator 2
C
x is equal to negative 11 plus or minus 25 halves
D
x is equal to negative 11 plus or minus the fraction with numerator 5 square root of 5 and denominator 2

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