AnswersAlgebra IIRadical Functions

Practice Test Answers

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What is the solution of square root of x minus 4 end root plus 5 is equal to 2 ?

A
x is equal to negative 17
B
x is equal to 13
C
x is equal to 53
D
no solution
2
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Which function has a domain of x is greater than or equal to 5 and a range of y is less than or equal to 3 ?

A
y is equal to square root of x minus 5 end root plus 3
B
y is equal to negative square root of x plus 5 end root minus 3
C
y is equal to negative square root of x minus 5 end root plus 3
D
y is equal to square root of x plus 5 end root minus 3
3

What is the simplified form of the following expression? 2 square root of 27 plus square root of 12 minus 3 square root of 3 minus 2 square root of 12

A
15 square root of 3
B
9 square root of 3
C
square root of 3
D
11 square root of 3
4

What is the following product? open paren square root of 12 plus square root of 6 close paren times open paren square root of 6 minus square root of 10 close paren

A
2 square root of 3 plus 6 minus 2 square root of 15
B
6 square root of 2 minus 2 square root of 30 plus 6 minus 2 square root of 15
C
3 square root of 2 minus square root of 22 plus 2 square root of 3 minus 4
D
6 square root of 3 minus 6 square root of 5
5

Which graph represents y is equal to cube root of x plus 2 ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 comma 2).
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 9 comma negative 2), (negative 2 comma 0), and (7 comma 2).
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 4), (0 comma negative 2), and (8 comma 0). The curve has a point of inflection at (0 comma negative 2).
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 6 comma negative 2), (0 comma negative 1), and (8 comma 2). The curve has a point of inflection at (2 comma 0).
6

What is the following sum? 3 b squared open paren cube root of 54 A close paren plus 3 times open paren cube root of 2 A b to the 6th power close paren

A
6 b squared open paren cube root of 2 A close paren
B
6 b squared open paren 6th root of 2 A close paren
C
12 b squared open paren 6th root of 2 A close paren
D
12 b squared open paren cube root of 2 A close paren
7

What is the following product? Assume x is greater than or equal to 0 cube root of x squared times 4th root of x cubed

A
12th root of x to the 5th power
B
x to the 6th power
C
x times open paren 12th root of x to the 5th power close paren
D
x square root of x
8

What is the solution of 4 plus square root of 5 x plus 66 end root is equal to x plus 10 ?

A
x is equal to negative 10
B
x is equal to 3
C
x is equal to negative 10 or x is equal to 3
D
no solution

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