AnswersMathematics IIIRadical Functions

Practice Test Answers

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1
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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 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.
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 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 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.
2
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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
3 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
2 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren
3

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 810 x cubed and denominator 3 x
B
the fraction with numerator 5th root of 30 and denominator 3 x
C
the fraction with numerator 5th root of 120 x cubed and denominator 3 x
D
the fraction with numerator 5th root of 10 x and denominator 3 x
4

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
5

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
23 dollars comma 791
B
2 dollars comma 500
C
22 dollars comma 827
D
9 dollars comma 159
6

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
square root of 3
B
9 square root of 3
C
11 square root of 3
D
15 square root of 3
7

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 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 square root of x plus 5 end root minus 3
D
y is equal to square root of x minus 5 end root plus 3
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 to the 6th power
B
x times open paren 12th root of x to the 5th power close paren
C
x square root of x
D
12th root of x to the 5th power
9

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
3 square root of 2 minus square root of 22 plus 2 square root of 3 minus 4
B
6 square root of 2 minus 2 square root of 30 plus 6 minus 2 square root of 15
C
2 square root of 3 plus 6 minus 2 square root of 15
D
6 square root of 3 minus 6 square root of 5
10

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
12 b squared open paren 6th root of 2 A close paren
C
6 b squared open paren 6th root of 2 A close paren
D
12 b squared open paren cube root of 2 A close paren
11

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
12

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 4 x to the 4th power and denominator y to the 6th power
B
the fraction with numerator 8 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

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