AnswersAlgebra IIRadical Functions

Practice Test Answers

10 verified answers
1
Free Preview

What is the following quotient? the fraction with numerator 6 minus 3 times open paren cube root of 6 close paren and denominator cube root of 9

A
2 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren
B
2 times open paren cube root of 3 close paren minus cube root of 18
C
3 times open paren cube root of 3 close paren minus cube root of 18
D
3 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren
2
Free Preview

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
3

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
4

What is the simplified form of the following expression? Assume x is not equal to 0 5th root of the fraction with numerator 10 x and denominator 3 x cubed

A
the fraction with numerator 5th root of 120 x cubed and denominator 3 x
B
the fraction with numerator 5th root of 810 x cubed and denominator 3 x
C
the fraction with numerator 5th root of 10 x and denominator 3 x
D
the fraction with numerator 5th root of 30 and denominator 3 x
5

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

A
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the vertical axis at 0 comma negative 2 and crosses the horizontal axis at 8 comma 0. The curve extends to the left ending in an arrow near negative 9 comma negative 4, and extends to the right ending in an arrow near 9 comma 0.3.
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 8 comma 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 comma 2).
C
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the horizontal axis at 2 comma 0 and crosses the vertical axis near 0 comma negative 1.3. The curve extends to the left ending in an arrow near negative 9 comma negative 2.2, and extends to the right ending in an arrow near 9 comma 2.
D
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the horizontal axis at negative 2 comma 0 and crosses the vertical axis near 0 comma 1.3. The curve extends to the left ending in an arrow near negative 9 comma negative 1.5, and extends to the right ending in an arrow near 9 comma 2.2.
6

Doug bought a new car for 25 dollars comma 000 He estimates his car will depreciate, or lose value, at a rate of 20 percent per year. The value of his car is modeled by the equation cap v is equal to cap p times open paren 1 minus r close paren to the t th power , where cap v is the value of the car, cap p is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 and 1 half years?

A
22 dollars comma 827
B
9 dollars comma 159
C
23 dollars comma 791
D
2 dollars comma 500
7

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
6 square root of 2 minus 2 square root of 30 plus 6 minus 2 square root of 15
B
2 square root of 3 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
8

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
x square root of x
B
12th root of x to the 5th power
C
x to the 6th power
D
x times open paren 12th root of x to the 5th power close paren
9

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 negative square root of x plus 5 end root minus 3
B
y is equal to negative square root of x minus 5 end root plus 3
C
y is equal to 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
10

Which expression is equivalent to open paren 16 x to the 8th power y to the negative 12 power close paren raised to the 1 half power ?

A
the fraction with numerator 8 x to the 4th power and denominator y to the 6th power
B
the fraction with numerator 4 x to the 4th power and denominator y to the 6th power
C
negative 4 x to the 4th power y to the 6th power
D
negative 8 x to the 4th power y to the 6th power

Did you find these answers helpful?

More from this Course

practice test
22 verified answers

Practice Test

practice test
22 verified answers

Practice Test

practice test
18 verified answers

Practice Test

Practice Test Answers — Algebra II