## Unlock all answers in this set

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Which equation is the inverse of 2(x - 2)² = 8(7 + y)?▫️
y = 2x ± √28+4x
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If f(x) = √1/2x-10 + 3, which inequality can be used to find the domain of f(x)?
√1/2x ≥ 0 1/2x ≥ 0 1/2x - 10 ≥ 0 _√1/2x-10 + 3 ≥ 0
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Which equation is the inverse of y = 16x² + 1?
y = (± √x-1)/16
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Which equation is the inverse of 5y + 4 = (x + 3)² + 1/2?
y = -3 ± √5x+7/2
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What is the domain of the function y = √x+6 - 7?
x ≥ -6
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Which equation is the inverse of y = 2x² - 8?
y = ± √(x/2)+4
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Which equation is the inverse of y = 100 - x²?
y = ± √100-x
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Which equation can be simplified to find the inverse of y = x² - 7?
x = y² - 7
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What is the domain of the square root function graphed below? . . . . . . . . . . . | . . . . . . . . . . . | _________________|_________________ . . . . . . . . . . . | . . . . . . . . . . . |______ . . . . . . . . . . . |. . . . . ------__
x ≥ 0
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What is the domain of the function y = √x +4?
0 ≤ x ≤ ∞
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What is the domain of the square root function graphed below? . . . . . . . . . . . |. . . . . ._____--- . . . . . . . . . . . |. . . . ./ _________________|_________________ . . . . . . . . . . . | . . . . . . . . . . . | . . . . . . . . . . . |
x ≥ 3
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If f(x) = √x-3, which inequality can be used to find the domain of f(x)?
√x-3 ≥ 0
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Which equation can be simplified to find the inverse of y = 5x² + 10?
x = 5y² + 10 1/y = 5x² + 10 _-y = 5x² + 10 y = 1/5x² + 1/10
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Which could be the function graphed below? . . . . . . . . . . . | . . . . . . . . . . . | _________________|____________--- . . . . . . . . . . . |. .__--- . . . . . . . . . . . |/ . . . . . . . . . . . |
f(x) = √x - 2
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Which equation can be simplified to find the inverse of y = 2x²?
1/y = 2x² -y = 2x² x = 2y²
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If the domain of the square root function f(x) is x ≤ 7, which statement must be true?
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.
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Which describes how to graph g(x) = ³√x-5 + 7 by transforming the parent function?▫️
Translate the parent function 5 units to the right and 7 units up.
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How many units up was the graph of f(x) = ³√x shifted to form the translation? [_________] . . . . . . . . . . . . . . . . . .________ . . . . . . . . . . . |. .----- . . . . . . . . . . . |/ . . . . .________ . . . . . . . . . . /|. .----- f(x) ________-----___|/________________ . . . . . . . . . . /| ________-----. .| . . . . . . . . . . . |
2
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Which cube root function is always decreasing as x increases?
f(x) = -³√x + 3
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Which is the function g(x) for a restricted domain? . . . . . . . . . . _|_______-------- . . . . . . . ---. .| __________|______|_________________ . . . . . . . . . . . | . . . . . . . . . . . | . . . . . . . . . . . |
g(x) = ³√x+4; x ≥ -4
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Which equation represents h(x)? . . . . . . . . . . . |. . . . . .________ . . . . . . . . . .___|_----- _____________/ __|________________ . . . . . . . /. . . | ___----- . . . . .| . . . . . . . . . . . |
h(x) = ³√x + 2
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Which is the graph of the cube root function f(x) = ³√x?
. . . . . . . . . . . |. . . . . . . _______ . . . . . . . . . . . |. ____---- _________________|/_________________ . . . . . . . . ___/| _______----. . . | . . . . . . . . . . . |
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Which equation represents f(x)? . . . . . . . . . . . | ________. . . . . . | ________ -----__|________________ . . . . . . . . . . | . . . . . . . . . . . |__ . . . . . . . . . . . |. . .-----______
f(x) = ³√-x - 1
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Which equation represents g(x)? . . . . . . . . . . . | . . . . . . . . . . . |. . . . . . . ___--- _________________|_________/______ . . . . . . . . . . . |. . ____/ . . . . . _________|-- __----. . . . . . |
g(x) = ³√x - 4
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Which equation represents f(x)? . . . . . . ______--|----- . . . . . / . . . . . | ______/ _________|________________ -. . . . . . . . . . .| . . . . . . . . . . . | . . . . . . . . . . . |
f(x) = ³√x+6 + 1
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Which is the graph of g(x)? (reflected ro create g(x) = ⁻³√x)
______. . . . . . . .| . . . . -------. .| _______________ |_________________ . . . . . . . . . . . |_ . . . . . . . . . . . |. . -------_____ . . . . . . . . . . . |
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What is the domain of the function y = √x?▫️
0 ≤ x < ∞
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Which graph represents y = ³√x-5?
. . . . . . . . . . . | . . . . . . . . . . . |. . . . . . ._____-- _________________|________/________ . . . . . . . . . . . |. _____/ ___-----------|- . . . . . . . . . . . |
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Which statement best describes f(x) = -2√x-7 + 1?
-6 is not in the domain of f(x) but is in the range of f(x).
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Which function has the same range as f(x) = -2√x-3 + 8?
g(x) = -√x+3 + 8
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Which function has the same domain as y = 2√x?
_y = √2x y = 2³√x
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What is the domain of the function y = 2√x-6?
6 ≤ x < ∞
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What is the range of the function y = ³√x+8?
0 ≤ y ≤ ∞
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Which of the following is the graph of y = -4√x?
. . . . . . . . . . . | . . . . . . . . . . . | _________________|_________________ . . . . . . . . . . . || . . . . . . . . . . . |. . . . . . . . . . . . |. .
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What is the range of the function y = √x+5?
y ≥ 0
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What is the domain of the function y = ³√x?
0 ≤ x < ∞
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Which of the following is equivalent to 36⁻¹/²▫️
-18 -6 1/18 _1/6
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Which expression is equivalent to -32³/⁵?
_-8 -³√32⁵ 1/³√32⁵ 1/8
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Which expression is equivalent to (125²/125⁴/³)?
1/25 1/10 10 _25
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Which expression is equivalent to (256x¹⁶)¹/⁴?
4x² 4x⁴ 64x² _64x⁴
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Which expression is equivalent to (x²⁷y)¹/³?
x³(³√y) _x⁹(³√y) x²⁷(³√y) x²⁴(³√y)
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Which expression is equivalent to ((4⁵/⁴ • 4¹/⁴)/4¹/²)¹/²?
2
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Which of the following is equivalent to ⁵√13³?
13² 13¹⁵ 13⁵/³ _13³/⁵
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Which expression is equivalent to (x⁴/³ x²/³)¹/³?
x²/⁹ x²/³ x⁷/³
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Which of the following is equivalent to (5)⁷/³?
5⁻⁴ 5⁴ ³√5⁷
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Which expression is equivalent to ³√x⁵y?
_x⁵/³ y¹/³ x³/⁵ y x³/⁵ y³
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What is the following difference? 11√45 - 4√5▫️
29√5
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Which of the following is a like radical to ³√6x²?
4(³√6x²)
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Which of the following is a like radical to ³√7x?
_4(³√7x) √7x x(³√7) 7√x
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What is the following sum in simplest form? √8 + 3√2 + √32
9√2
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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)
5(⁴√x) - 4(⁴√2y) 5(⁴√x) - 6(⁴√2y) 13(⁴√x) - 10(⁴√2y) _35(⁴√x) - 18(⁴√2y)
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What is the simplified form of the following expression? 7(³√2x) - 3(³√16x) - 3(³√8x)
-5(³√2x) 5(³√x) ³√2x - 6(³√x) -(³√2x) - 6(³√x)
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What is the following sum? 5(³√x) + 9(³√x)
14(³√x)
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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.
√5 m 3√5 m 45√5 m
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Which of the following is a like radical to 3x√5?
x(³√5) √5y 3(³√5x) _y√5
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What is the following sum? 4(⁵√x²y) + 3(⁵√x²y)
7(⁵√x²y)
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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?
√30 - 2√5 m
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What is the following difference? 2ab(³√192ab²) - 5(³√81a⁴b⁵)
-3ab(²√3ab²) -7ab(³√3ab²)
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What is the simplified form of the following expression? Assume a ≥ 0 and c ≥ 0. 14(⁴√a⁵b²c⁴) - 7ac(⁴√ab²)
_7ac(⁴√ab²) 7(⁴√ab²) -7(⁴√ab²) -7ac(⁴√ab²)
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What is the following sum? 4√5 + 2√5
6√5
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What is the following sum? √x²y² + 2√x³y⁴ + xy√y
2xy√y + 2xy²√x
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What is the simplified form of the following expression? 7(³√2x)-3(³√16x)-3(³√8x)
_-5(³√2x) 5(³√x) ³√2x -6(³√x)
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What is the following sum? ³√125x¹⁰y¹³ + ³√27x¹⁰y¹³
8x³y⁴(³√xy)
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What is the following product? ³√24 • ³√45▫️
³√69 4(³√6) 6(³√5) _6(³√10)
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What is the following product? (√14 - √3)(√12 + √7)
_2√42 + 7√2 - 6 - √21 √14 - 6 + √7 √26 + √21 - √15 - √10 2√42 - √21
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What is the following product? 3√2(5√6 - 7√3)
30√3 - 21√6
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What is the following product? (x√7 - 3√8)(x√7 - 3√8)
7x² - 12x√14 + 72
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What is the following product? √10 • √10
10
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What is the following product? √12 • √18
6√6
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What is the following simplified product? Assume x ≥ 0. 2√8x³(3√10x⁴ - x√5x²)
24x³√5x - 4x³√10x
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What is the following product? Assume x ≥ 0 and y ≥ 0. √5x⁸y² • √10x³ • √12y
3x5y√3xy _10x⁵y√6xy 3x5y√3x²y² 10x⁵y√6x²y²
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What is the following product? ³√5 • √2
_⁶√10 ⁶√200 ⁶√500 ⁶√100000
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What is the following product? ⁴√7 • ⁴√7 •⁴√7 •⁴√7
_4(⁴√7) 4√7 7⁴ 7
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What is the following quotient? √96/√8▫️
2√3
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What is the following quotient? ³√60/³√20
³√3
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What is the following quotient? √120/√30
2√10
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Which expression is equivalent to √2/³√2?
⁶√2
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What is the following quotient? √6+√11/√5+√3
√30-3√2+√55-√33/2
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To rationalize the denominator of 2√10/3√11, you should multiply the expression by which fraction?
√11/√11
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What is the following quotient? 2-√8/4+√12
2-√3-2√2+√6
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What is the following quotient? 5/√11-√3
5√11+5√3/8
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What is the following quotient? 3√8/4√6
√3/2
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Multiplying 3/√17-√2 by which fraction will produce an equivalent fraction with a rational denominator?
√17+√2/√17+√2
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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?▫️
15.4 feet
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What is the solution of √x²+49 = x+5?
x=12/5
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Which of the following is an extraneous solution of (45-3x)¹/² = x-9?
x = -12 x = -3 x = 3 _x = 12
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Which equation can be rewritten as x + 4 = x²? Assume x > 0
√x + 2 = x √x+2 = x _√x+4 = x √x²+16 = x
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Which of the following is a radical equation?
√x + 3 = 13
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What is the solution of x = 2 + √x-2?
x = 2 x = 3 _x = 2 or x = 3 no solution
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Which equation is equivalent to √x²+81 = x + 10?