Practice Test Answers

1

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Which inequality describes the range of f of x ?

A

y is greater than or equal to 3

B

y is greater than or equal to negative 3

C

y is greater than or equal to 0

D

y is greater than or equal to negative 5

2

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Which statement is correct?

A

The domain of the graph is all real numbers.

B

The domain of the graph is all real numbers greater than or equal to 0 .

C

The range and domain of the graph are the same.

D

The range of the graph is all real numbers greater than or equal to 0 .

3

Which describes all possible values of f of x in the function f of x is equal to the fraction with numerator square root of x and denominator 2 ?

A

all real numbers except for 0

B

all positive real numbers and 0

C

all negative real numbers and 0

D

all real numbers

4

Which equation is a radical equation?

A

cube root of 8 plus d squared is equal to d square root of 16

B

3 d is equal to square root of d plus 5 end root

C

cube root of 8 plus 2 n is equal to cube root of 12 plus n

D

square root of 10 plus h is equal to 5 plus 2 h

5

Which system is equivalent to the given system? y is equal to 9 x squared x plus y is equal to 5

A

5 minus x is equal to 9 x squared y is equal to 5 minus x

B

y is equal to 3 x x plus 3 x is equal to 5

C

y is equal to 9 y squared minus 90 y plus 225 x is equal to y minus 5

D

5 plus x is equal to 9 x squared y is equal to 5 plus x

6

What is one solution of the following system? 2 y minus 2 x is equal to 12 x squared plus y squared is equal to 36

A

open paren negative 6 comma 0 close paren

B

open paren 4 comma negative 2 close paren

C

open paren negative 2 comma 4 close paren

D

open paren 0 comma negative 6 close paren

7

If the discriminant of a quadratic equation is 4, which statement describes the roots?

A

There is one complex root.

B

There are two complex roots.

C

There are two real roots.

D

There is one real root.

8

Which statement is true about the function f of x is equal to negative square root of negative x ?

A

The range of the function is all positive real numbers.

B

The domain and range of the function have opposite signs.

C

The domain of the function is all negative real numbers.

D

The domain and range of the function are the same.

9

Using the quadratic formula to solve 11 x squared minus 4 x is equal to 1 , what are the values of x ?

A

2 over 11 plus or minus the fraction with numerator square root of 15 and denominator 11

B

2 over 11 plus or minus the fraction with numerator square root of 7 i and denominator 11

C

2 over 11 plus or minus the fraction with numerator square root of 7 and denominator 11

D

2 over 11 plus or minus the fraction with numerator 2 square root of 15 and denominator 11

10

Dimitri is solving the equation x squared minus 10 x is equal to 21 Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

A

4

B

25

C

100

D

0

11

The graph of y is equal to square root of x is translated. The translation is defined by open paren x comma y close paren to open paren x minus 3 comma y plus 1 close paren Which is the graph of the translated image?

A

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point negative 3 comma 1, moves right and passes through the point 1 comma 3.

B

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point 3 comma negative 1, moves right and passes through the point 4 comma 0.

C

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point negative 1 comma negative 3, moves right and passes through the point 0 comma negative 2.

D

Image with description A coordinate plane with x and y axes ranges from negative 5 to 5 in increments of 1. A smooth curve originates from the point negative 1 comma negative 3, moves right and passes through the point 2 comma negative 2.

12

What is the solution to the equation 3 plus 4th root of 4 y is equal to 4 ?

A

y is equal to 1 sixteenth

B

y is equal to 1

C

y is equal to 4

D

y is equal to 1 fourth

13

Which is the graph of the function f of x is equal to square root of 9 fourths x end root ?

A

Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 4 point 5 in increments of 0 point 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 4 4 and 4 comma 0 point 8 9.

B

Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 2 point 2 5 and 4 comma 4 point 5.

C

Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 4 point 5 in increments of 0 point 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 6 6 and 4 comma 1 point 3 3.

D

Image with description On a coordinate plane with x-axis ranging from 0 to 9 in increments of 1, y-axis ranging from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 1 point 5 and 4 comma 3.

14

What are the values of x in the equation x squared minus 6 x plus 9 is equal to 25 ?

A

x is equal to 1 or x is equal to 11

B

x is equal to 2 or x is equal to negative 8

C

x is equal to negative 2 or x is equal to 8

D

x is equal to negative 1 or x is equal to negative 11

15

What is the greatest possible integer value of x for which square root of x minus 5 end root is an imaginary number?

A

6

B

4

C

3

D

5

16

Which point shows the location of 5 minus 2 i on the complex plane?

A

point cap A

B

point cap b

C

point cap d

D

point cap c

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