question

Which equation is the inverse of 2(x - 2)² = 8(7 + y)?▫️

answer

y = 2x ± √28+4x

question

If f(x) = √1/2x-10 + 3, which inequality can be used to find the domain of f(x)?

answer

√1/2x ≥ 0
1/2x ≥ 0
1/2x - 10 ≥ 0
_√1/2x-10 + 3 ≥ 0

question

Which equation is the inverse of y = 16x² + 1?

answer

y = (± √x-1)/16

question

Which equation is the inverse of 5y + 4 = (x + 3)² + 1/2?

answer

y = -3 ± √5x+7/2

question

What is the domain of the function y = √x+6 - 7?

answer

x ≥ -6

question

Which equation is the inverse of y = 2x² - 8?

answer

y = ± √(x/2)+4

question

Which equation is the inverse of y = 100 - x²?

answer

y = ± √100-x

question

Which equation can be simplified to find the inverse of y = x² - 7?

answer

x = y² - 7

question

What is the domain of the square root function graphed below?
. . . . . . . . . . . |
. . . . . . . . . . . |
_________________|_________________
. . . . . . . . . . . |
. . . . . . . . . . . |______
. . . . . . . . . . . |. . . . . ------__

answer

x ≥ 0

question

What is the domain of the function y = √x +4?

answer

0 ≤ x ≤ ∞

question

What is the domain of the square root function graphed below?
. . . . . . . . . . . |. . . . . ._____---
. . . . . . . . . . . |. . . . ./
_________________|_________________
. . . . . . . . . . . |
. . . . . . . . . . . |
. . . . . . . . . . . |

answer

x ≥ 3

question

If f(x) = √x-3, which inequality can be used to find the domain of f(x)?

answer

√x-3 ≥ 0

question

Which equation can be simplified to find the inverse of y = 5x² + 10?

answer

x = 5y² + 10
1/y = 5x² + 10
_-y = 5x² + 10
y = 1/5x² + 1/10

question

Which could be the function graphed below?
. . . . . . . . . . . |
. . . . . . . . . . . |
_________________|____________---
. . . . . . . . . . . |. .__---
. . . . . . . . . . . |/
. . . . . . . . . . . |

answer

f(x) = √x - 2

question

Which equation can be simplified to find the inverse of y = 2x²?

answer

1/y = 2x²
-y = 2x²
x = 2y²

question

If the domain of the square root function f(x) is x ≤ 7, which statement must be true?

answer

7 is subtracted from the x-term inside the radical.
The radical is multiplied by a negative number.
7 is added to the radical term.
_The x-term inside the radical has a negative coefficient.

question

Which describes how to graph g(x) = ³√x-5 + 7 by transforming the parent function?▫️

answer

Translate the parent function 5 units to the right and 7 units up.

question

How many units up was the graph of f(x) = ³√x shifted to form the translation? [_________]
. . . . . . . . . . . . . . . . . .________
. . . . . . . . . . . |. .-----
. . . . . . . . . . . |/ . . . . .________
. . . . . . . . . . /|. .----- f(x)
________-----___|/________________
. . . . . . . . . . /|
________-----. .|
. . . . . . . . . . . |

answer

2

question

Which cube root function is always decreasing as x increases?

answer

f(x) = -³√x + 3

question

Which is the function g(x) for a restricted domain?
. . . . . . . . . . _|_______--------
. . . . . . . ---. .|
__________|______|_________________
. . . . . . . . . . . |
. . . . . . . . . . . |
. . . . . . . . . . . |

answer

g(x) = ³√x+4; x ≥ -4

question

Which equation represents h(x)?
. . . . . . . . . . . |. . . . . .________
. . . . . . . . . .___|_-----
_____________/ __|________________
. . . . . . . /. . . |
___----- . . . . .|
. . . . . . . . . . . |

answer

h(x) = ³√x + 2

question

Which is the graph of the cube root function f(x) = ³√x?

answer

. . . . . . . . . . . |. . . . . . . _______
. . . . . . . . . . . |. ____----
_________________|/_________________
. . . . . . . . ___/|
_______----. . . |
. . . . . . . . . . . |

question

Which equation represents f(x)?
. . . . . . . . . . . |
________. . . . . . |
________ -----__|________________
. . . . . . . . . . |
. . . . . . . . . . . |__
. . . . . . . . . . . |. . .-----______

answer

f(x) = ³√-x - 1

question

Which equation represents g(x)?
. . . . . . . . . . . |
. . . . . . . . . . . |. . . . . . . ___---
_________________|_________/______
. . . . . . . . . . . |. . ____/
. . . . . _________|--
__----. . . . . . |

answer

g(x) = ³√x - 4

question

Which equation represents f(x)?
. . . . . . ______--|-----
. . . . . / . . . . . |
______/ _________|________________
-. . . . . . . . . . .|
. . . . . . . . . . . |
. . . . . . . . . . . |

answer

f(x) = ³√x+6 + 1

question

Which is the graph of g(x)? (reflected ro create g(x) = ⁻³√x)

answer

______. . . . . . . .|
. . . . -------. .|
_______________ |_________________
. . . . . . . . . . . |_
. . . . . . . . . . . |. . -------_____
. . . . . . . . . . . |

question

What is the domain of the function y = √x?▫️

answer

0 ≤ x < ∞

question

Which graph represents y = ³√x-5?

answer

. . . . . . . . . . . |
. . . . . . . . . . . |. . . . . . ._____--
_________________|________/________
. . . . . . . . . . . |. _____/
___-----------|-
. . . . . . . . . . . |

question

Which statement best describes f(x) = -2√x-7 + 1?

answer

-6 is not in the domain of f(x) but is in the range of f(x).

question

Which function has the same range as f(x) = -2√x-3 + 8?

answer

g(x) = -√x+3 + 8

question

Which function has the same domain as y = 2√x?

answer

_y = √2x
y = 2³√x

question

What is the domain of the function y = 2√x-6?

answer

6 ≤ x < ∞

question

What is the range of the function y = ³√x+8?

answer

0 ≤ y ≤ ∞

question

Which of the following is the graph of y = -4√x?

answer

. . . . . . . . . . . |
. . . . . . . . . . . |
_________________|_________________
. . . . . . . . . . . ||
. . . . . . . . . . . |.
. . . . . . . . . . . |. .

question

What is the range of the function y = √x+5?

answer

y ≥ 0

question

What is the domain of the function y = ³√x?

answer

0 ≤ x < ∞

question

Which of the following is equivalent to 36⁻¹/²▫️

answer

-18 -6 1/18 _1/6

question

Which expression is equivalent to -32³/⁵?

answer

_-8 -³√32⁵ 1/³√32⁵ 1/8

question

Which expression is equivalent to (125²/125⁴/³)?

answer

1/25 1/10 10 _25

question

Which expression is equivalent to (256x¹⁶)¹/⁴?

answer

4x² 4x⁴ 64x² _64x⁴

question

Which expression is equivalent to (x²⁷y)¹/³?

answer

x³(³√y) _x⁹(³√y) x²⁷(³√y) x²⁴(³√y)

question

Which expression is equivalent to ((4⁵/⁴ • 4¹/⁴)/4¹/²)¹/²?

answer

2

question

Which of the following is equivalent to ⁵√13³?

answer

13² 13¹⁵ 13⁵/³ _13³/⁵

question

Which expression is equivalent to (x⁴/³ x²/³)¹/³?

answer

x²/⁹ x²/³ x⁷/³

question

Which of the following is equivalent to (5)⁷/³?

answer

5⁻⁴ 5⁴ ³√5⁷

question

Which expression is equivalent to ³√x⁵y?

answer

_x⁵/³ y¹/³
x³/⁵ y
x³/⁵ y³

question

What is the following difference?
11√45 - 4√5▫️

answer

29√5

question

Which of the following is a like radical to ³√6x²?

answer

4(³√6x²)

question

Which of the following is a like radical to ³√7x?

answer

_4(³√7x) √7x x(³√7) 7√x

question

What is the following sum in simplest form?
√8 + 3√2 + √32

answer

9√2

question

What is the simplified form of the following expression? Assume x ≥ 0 and y ≥ 0.
2(⁴√16x) - 2(⁴√2y) + 3(⁴√81x) - 4(⁴√32y)

answer

5(⁴√x) - 4(⁴√2y)
5(⁴√x) - 6(⁴√2y)
13(⁴√x) - 10(⁴√2y)
_35(⁴√x) - 18(⁴√2y)

question

What is the simplified form of the following expression?
7(³√2x) - 3(³√16x) - 3(³√8x)

answer

-5(³√2x)
5(³√x)
³√2x - 6(³√x)
-(³√2x) - 6(³√x)

question

What is the following sum?
5(³√x) + 9(³√x)

answer

14(³√x)

question

Wyatt's eye-level height is 120 ft above sea level, and Shawn's eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = √3h/2, h ≥ 0, with d being the distance they can see in miles and h being their eye-level height in feet.

answer

√5 m 3√5 m 45√5 m

question

Which of the following is a like radical to 3x√5?

answer

x(³√5)
√5y
3(³√5x)
_y√5

question

What is the following sum?
4(⁵√x²y) + 3(⁵√x²y)

answer

7(⁵√x²y)

question

The formula s = √SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?

answer

√30 - 2√5 m

question

What is the following difference?
2ab(³√192ab²) - 5(³√81a⁴b⁵)

answer

-3ab(²√3ab²) -7ab(³√3ab²)

question

What is the simplified form of the following expression? Assume a ≥ 0 and c ≥ 0.
14(⁴√a⁵b²c⁴) - 7ac(⁴√ab²)

answer

_7ac(⁴√ab²)
7(⁴√ab²)
-7(⁴√ab²)
-7ac(⁴√ab²)

question

What is the following sum?
4√5 + 2√5

answer

6√5

question

What is the following sum?
√x²y² + 2√x³y⁴ + xy√y

answer

2xy√y + 2xy²√x

question

What is the simplified form of the following expression?
7(³√2x)-3(³√16x)-3(³√8x)

answer

_-5(³√2x)
5(³√x)
³√2x -6(³√x)

question

What is the following sum?
³√125x¹⁰y¹³ + ³√27x¹⁰y¹³

answer

8x³y⁴(³√xy)

question

What is the following product?
³√24 • ³√45▫️

answer

³√69 4(³√6) 6(³√5) _6(³√10)

question

What is the following product?
(√14 - √3)(√12 + √7)

answer

_2√42 + 7√2 - 6 - √21
√14 - 6 + √7
√26 + √21 - √15 - √10
2√42 - √21

question

What is the following product?
3√2(5√6 - 7√3)

answer

30√3 - 21√6

question

What is the following product?
(x√7 - 3√8)(x√7 - 3√8)

answer

7x² - 12x√14 + 72

question

What is the following product?
√10 • √10

answer

10

question

What is the following product?
√12 • √18

answer

6√6

question

What is the following simplified product? Assume x ≥ 0.
2√8x³(3√10x⁴ - x√5x²)

answer

24x³√5x - 4x³√10x

question

What is the following product? Assume x ≥ 0 and y ≥ 0.
√5x⁸y² • √10x³ • √12y

answer

3x5y√3xy
_10x⁵y√6xy
3x5y√3x²y²
10x⁵y√6x²y²

question

What is the following product?
³√5 • √2

answer

_⁶√10
⁶√200
⁶√500
⁶√100000

question

What is the following product?
⁴√7 • ⁴√7 •⁴√7 •⁴√7

answer

_4(⁴√7) 4√7 7⁴ 7

question

What is the following quotient?
√96/√8▫️

answer

2√3

question

What is the following quotient?
³√60/³√20

answer

³√3

question

What is the following quotient?
√120/√30

answer

2√10

question

Which expression is equivalent to √2/³√2?

answer

⁶√2

question

What is the following quotient?
√6+√11/√5+√3

answer

√30-3√2+√55-√33/2

question

To rationalize the denominator of 2√10/3√11, you should multiply the expression by which fraction?

answer

√11/√11

question

What is the following quotient?
2-√8/4+√12

answer

2-√3-2√2+√6

question

What is the following quotient?
5/√11-√3

answer

5√11+5√3/8

question

What is the following quotient?
3√8/4√6

answer

√3/2

question

Multiplying 3/√17-√2 by which fraction will produce an equivalent fraction with a rational denominator?

answer

√17+√2/√17+√2

question

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = √d²+h². What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?▫️

answer

15.4 feet

question

What is the solution of √x²+49 = x+5?

answer

x=12/5

question

Which of the following is an extraneous solution of (45-3x)¹/² = x-9?

answer

x = -12 x = -3 x = 3 _x = 12

question

Which equation can be rewritten as x + 4 = x²? Assume x > 0

answer

√x + 2 = x
√x+2 = x _√x+4 = x √x²+16 = x

question

Which of the following is a radical equation?

answer

√x + 3 = 13

question

What is the solution of x = 2 + √x-2?

answer

x = 2 x = 3 _x = 2 or x = 3 no solution

question

Which equation is equivalent to √x²+81 = x + 10?

answer

_x + 9 = x + 10
x + 9 = x2 + 20x + 100
x2 + 81 = x2 + 100
x2 + 81 = x2 + 20x + 100

question

Which equation is equivalent to √x + 11 = 15

answer

x + 11 = 225
x + 121 = 225
√x = 15 + 11
_√x = 15 - 11

question

What is the solution of ³√x+8 = -4?

answer

_x = -72
x = -66
x = 58
no solution

question

Which of the following is a radical equation?

answer

7√x = 14