Answers Algebra 2 with ProbabilityRadical Expressions and Functions

Radical Expressions and Functions — Test Answers

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How was the graph of f of x is equal to cube root of x shifted to form the translation?

2 units right

2 units up

2 units down

2 units left

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What is the solution of square root of x plus 2 end root minus 15 is equal to negative 3 ?

x is equal to 142

x is equal to 232

x is equal to 322

no solution

What is the simplest form of 4th root of 81 x to the 8th power y to the 5th power ?

9 x to the 4th power y squared open paren 4th root of y close paren

3 x squared y open paren 4th root of y close paren

3 x squared open paren 4th root of y to the 5th power close paren

9 x squared y open paren 4th root of y close paren

Which expression is equivalent to 4th root of 144 A to the 12th power b cubed ? Assume A is greater than or equal to 0 and b is greater than or equal to 0

2 A cubed open paren 4th root of 9 b cubed close paren

12 A cubed open paren 4th root of b cubed close paren

12 A to the 6th power b open paren 4th root of b close paren

2 A to the 4th power b open paren 4th root of 18 close paren

The orbital period, cap p , of a planet and the planet’s distance from the sun, A , in astronomical units is related by the formula cap p is equal to A raised to the 3 halves power If Saturn’s orbital period is 29 point 5 years, what is its distance from the sun?

19 point 7 AU

9 point 5 AU

160 point 2 AU

44 point 3 AU

What is the simplified form of square root of four hundred x to the hundredth power end root ?

two hundred x to the tenth power

twenty x to the fiftieth power

two hundred x to the fiftieth power

twenty x to the tenth power

Which expression is equivalent to square root of 64 A to the 6th power end root ?

square root of 8 start absolute value A cubed end absolute value end root

square root of 8 A to the 6th power end root

8 A to the 6th power

8 start absolute value A cubed end absolute value

What is the solution to the equation square root of w squared plus 7 w minus 39 end root is equal to square root of 10 w plus 1 end root ?

w is equal to 5

w is equal to 8

w is equal to negative 8

w is equal to negative 5

What is the extraneous solution to the equation square root of 2 p plus 1 end root plus 2 square root of p is equal to 1 ?

p is equal to negative 2

p is equal to negative 4

p is equal to 4

p is equal to 0

Which is the graph of g of x is equal to square root of x minus 16 end root ?

Image with description A coordinate plane with x-axis ranges from 4 to 44 in increments of 4 and y-axis ranges from 1 to 10 in increments of 1. A smooth curve originates from 16 comma 0, moves right and passes through the points 20 comma 2 and terminates at the point 40 comma 5.

Image with description A coordinate plane with x-axis ranges from 4 to 44 in increments of 4 and y-axis ranges from 1 to 10 in increments of 1. A smooth curve originates from 0 comma 4, moves right and passes through the points 4 comma 6 and 36 comma 10.

Image with description A coordinate plane with x-axis ranges from 4 to 44 in increments of 4 and y-axis ranges from 1 to 10 in increments of 1. A smooth curve originates from 4 comma 4, moves right and passes through the points 8 comma 6 and 28 comma 9.

Image with description A coordinate plane with x-axis ranges from 4 to 44 in increments of 4 and y-axis ranges from 1 to 10 in increments of 1. A smooth curve originates from 4 comma 0, moves right and passes through the point 20 comma 4 and terminates at the point 40 comma 6.

Victor has been instructed to stack boxes on a freight dock, arranged in perfect squares. If he has 625 boxes in each square, how many boxes are on the bottom row of each square?

25 boxes

35 boxes

5 boxes

15 boxes

What is the solution of square root of x plus 12 end root is equal to x ?

x is equal to negative 3

x is equal to 4

x is equal to negative 3 or x is equal to 4

no solution

Which expression is equivalent to cube root of 1 over 1000 c to the 9th power d to the 12th power ?

1 tenth c cubed d to the 4th power

1 over 100 c to the 6th power d to the 9th power

1 over 100 c cubed d to the 4th power

1 tenth c to the 6th power d to the 9th power

Mario invested 6 dollars comma 000 in an account that pays 5 percent annual interest compounded annually. Using the formula cap A is equal to cap p times open paren 1 plus r close paren to the t th power , what is the approximate value of the account after 2 point 5 years?

6 dollars comma 118

6 dollars comma 778

6 dollars comma 456

6 dollars comma 075

Which equation results from isolating a radical term and squaring both sides of the equation for the equation square root of x plus 6 end root plus square root of x is equal to 8 ?

x plus 6 is equal to 64 plus x

x plus 6 is equal to 64 plus x minus 16 square root of x

x plus 6 is equal to 64 minus x

x plus 6 is equal to 64 plus x plus 16 square root of x

Which expression is equivalent to 144 raised to the 3 halves power ?

cube root of 12

216

cube root of 72

1 comma 728

Which statement is true of the function f of x is equal to negative cube root of x ? Choose three correct answers.

The function is a reflection of y is equal to cube root of x .

The function has a range of start set y such that negative infinity is less than y comma y is less than infinity end set .

The function has a domain of all real numbers.

The function is always increasing.

The function passes through the point 3 comma negative 27 .

Which represents the reflection of f of x is equal to square root of x over the y -axis?

Image with description On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, 'undefined' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, '1' Row 5: Column 1, '4'; Column 2, '2'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, '1' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, 'negative 1' Row 5: Column 1, '4'; Column 2, 'negative 2'

Image with description On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).

What is the simplest form of square root of three comma zero two five ?

5 squared plus 11 squared

5 squared times 11 squared

What is the domain of the function?

all real numbers greater than but not equal to 0

all real numbers less than or equal to 0

all real numbers greater than or equal to 0

all real numbers

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Radical Expressions and Functions — Test Answers

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