Solving Radical Equations

Solving Radical Equations

Take notes. Anything not completed in class is homework!

Multiple Choice

Simplify the radical...

√20a²b⁴

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5

Multiple Choice

Simplify

√45n³

• 3n√5n

• 4n√8

• 4n√-8

• 10√n

Multiple Choice

5√80

• 20√5

• 4√5

• 5√20

• 4√5

Multiple Choice

• y²z¹⁰√xy
• 20yz√xy
• xy²z¹⁰√y
• yz⁶√xy²z²

Multiple Choice

√72

• 7√9

• 4√6

• 6√2

• 3√4

Refresh your memory and take notes!

Fill in the Blanks

Multiple Choice

Solve

• 104/5

• 124/5

• 25

• 14/5

Fill in the Blanks

Multiple Choice

Solve

• 2
• -27/7
• -32/7
• 27/7

Multiple Choice

• -4
• 0, -4
• 4
• 0, 4

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

• x = -1/3 and 5/3

• x = -1/3

• x = 5/3

• No Solution

Multiple Choice

• x=7

• x=49

• No Solution

• x=16

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Which is the graph of  f(x) = √x +3

• A
• B
• C
• D

Multiple Choice

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Multiple Choice

What is the equation of the function graphed?

• f(x) = (x-2)^1/2 + 5
• f(x) = (x+5)^1/2 - 2
• f(x) = (x+2)^1/2 + 5
• f(x) = (x-2)^1/2 - 5

Multiple Choice

Solve.  Check for extraneous solutions.

• A
• B
• C
• D

Multiple Choice

 Write in exponential form
 ∛x⁷

• x⁷∕ ³
• x3⁄7
• 3x⁷
• 7x³

Multiple Choice

Write as a radical expression
y²⁄ ³

• 2y³
• √y³
• ∛y²
• 3y²

Multiple Choice

Simplify:
x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴

• -x¹∕ ⁶
• x ³∕ ⁴
• 1∕ x³⁄⁴
• x¹∕ ⁸

Multiple Choice

Simplify
(x²⁄ ³)²⁄ ⁵

• x⁴∕ ¹⁵
• x¹⁶∕ ¹⁵
• x⁶
• 6x

Multiple Choice

Simplify
x⅞ ⁄ x

• x
• 1∕ x¹∕ ⁸
• 1∕8x
• x⁴

Multiple Choice

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

Multiple Choice

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab

Multiple Choice

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Multiple Choice

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply
• Add
• Divide
• Subtract

Multiple Select

Select all parts of the domain of the function

• $$-\infty<x\le-3$$

• $$0<x<3$$

• $$0<x\le3$$

• All real numbers

• $$4<x\le8$$

Multiple Select

What are the intercepts of this function? (x-and y-intercepts)

• (0,-4.8)

• (0,4.1)

• (-4.8,0)

• (4.1,0)

• (0,3.8)

Multiple Choice

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

Multiple Choice

What is the equation of this parabola in it’s factored form?

• y=(x-2)(x+3)

• y=(x+2)(x-3)

• y=(x+2)(x-3)(x-6)

• y=(x+3)(x-6)

Multiple Choice

Fill the blank space to complete the perfect square trinomial
x²-18x+____=(x- ____)²

• 9 and 3 respectively
• 81 and 9 respectively
• -9 and -3 respectively
• -81 and -9 respectively

Multiple Choice

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Multiple Choice

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution
• ARN
• (-3,3)
• (3,3)

Multiple Choice

Solve the radical equation. Don't forget to check your answers!

• x = -6

• x = 3

• x = 7/3

• x = -5

Multiple Choice

Solve.

• 8
• -8
• 0
• no solution

Multiple Choice

Solve for x:
(2x - 1)^3/4 + 9 = 36

• 27
• 13
• 41
• 82