Radical Functions Review Day

Multiple Choice

Add the polynomial (-3x + 4) + (8x - 5)

• 5x - 9

• 5x - 1

• 11x - 1

• 11x - 9

• None of these

Multiple Choice

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7

• 5a³ - 4a² - 14a - 7

• 5a³ - 4a² - 20a - 7

• 5a³ - 9a² - 20a - 7

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x² +6y² + 6z²

• 4x + y + 6z

• -4x² - y² + 6z²

• -4x + y + 6z

• None of these

Multiple Choice

Add the following polynomials

(x³-6x²+3)+(3x³+4x-1)

• 4x³-2x²+2

• 4x³-6x²+4x+2

• -2x³+2x+2

• 4x³-2x²-2

• None of these

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

• None of these

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiple Choice

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

• -5x⁵ + 2x³ - 6x
• 7x⁵ - 6x
• -5x³ + 2x² - 6x
• -5x⁵ - 6x

Multiple Choice

√128

• 64√2
• 16
• 2√8
• 8√2

Multiple Choice

√200

• 14
• 20√8
• 5√3
• 10√2

Multiple Choice

Simplify 4√75

• 4√5
• 12√5
• 20√3
• 7√3

Multiple Choice

√40 =

• 4√10

• 10√4

• 2√10

• 10√2

Multiple Choice

√32 =

• 3√2

• 4√8

• 16√2

• 4√2

Multiple Choice

√300 =

• 3√10

• 2√150

• 100√3

• 10√3

Multiple Choice

√16 =

• 4

• 8

• 16

• 64

Multiple Choice

√1 =

• 1

• 2

• 0

• 1/2

Multiple Choice

√18 =

• 3√2

• 9√2

• 3√9

• 2√3

Multiple Choice

Simplify:
√10 ⋅ √45

• 3√50
• 8√2
• √450
• 15√2

Multiple Choice

Simplify:
√6 ⋅√6

• √36
• 2√3
• 12
• 6

Multiple Choice

√3 × √15 =

• 3√5
• 5√3
• 2√7
• √17

Multiple Choice

Write the expression in radical form.

y^1/2

• √y

• ∛y

• √y²

• ∛y²

Multiple Choice

Write as a radical expression
y¹⁄ ³

• ∛y
• y³
• √y
• 1∕ 3y

Multiple Select

$$5^{\frac{1}{2}}$$  

• $$\sqrt{5}$$  

• 10

• 25

• $$\sqrt{25}$$  

Multiple Choice

an exponent 1/2 means

• square root

• cube root

• fourth root

• fifth root

Multiple Choice

$$\sqrt{13}$$  

• $$6$$  

• $$13$$  

• $$13^{\frac{1}{2}}$$   

• $$13^2$$  

Multiple Choice

Write the expression in exponential form:

$$^4\sqrt{k^5}$$  

• $$k^{\frac{5}{4}}$$  

• $$k^{\frac{4}{5}}$$  

• $$\frac{k^4}{5}$$  

Multiple Choice

Write the expression in radical form:
$$3^{\frac{5}{4}}$$  

• $$^5\sqrt{3^4}$$  

• $$^4\sqrt{3^5}$$  

• $$\sqrt{3^4}$$  

• $$\sqrt{3^{\frac{5}{4}}}$$  

To find solutions - GRAPH on desmos using an "x" and find the x intercept

Multiple Choice

• x = 49
• x = 53
• x = 45
• x = 18

Multiple Choice

• x = 2
• x = 4
• x = 7
• x = 9

Multiple Choice

• x = -6
• x = 3
• x = -3
• x = 5±

Multiple Choice

Solve and check your solution(s).

• x = 2, 3
• x = -2, -3
• x = -1, -6
• No solution

Multiple Choice

Solve.

• no solution
• 6
• 3
• 4

Multiple Choice

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Multiple Choice

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Multiple Choice

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Multiple Choice

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Multiple Choice

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

Multiple Choice

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units

Multiple Choice

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 
• Shifted right 2 units and down 5 units 
• Vertical stretch by a factor of 2; translated left 5 units
• Vertical stretch by a factor of 2; translated right one unit 

Multiple Choice

• y = √(x + 2) + 3

• y = √(x − 2) + 3

• y = √(x − 3) + 2

• y = √(x + 3) + 2

Multiple Choice

Which equation is shown graphed?

• y = √(x + 1) − 5

• y = √(x − 1) − 5

• y = √(x − 5) − 1

• y = √(x + 5) − 1

Multiple Choice

• y = −√(x) − 3

• y = −√(x − 3)

• y = √(x) − 3

• y = √(x − 3)

Multiple Choice

Which equation is shown graphed?

• y = √(x + 1) − 5

• y = √(x − 1) − 5

• y = √(x − 5) − 1

• y = √(x + 5) − 1

Multiple Choice

• y = √(x + 2) + 3

• y = √(x − 2) + 3

• y = √(x − 3) + 2

• y = √(x + 3) + 2

Multiple Choice

Which equation is shown graphed?

• y = √(x + 4)

• y = √(x − 4)

• y = √(x) + 4

• y = √(x) − 4

Multiple Choice

• y = √(x + 5)

• y = √(x − 5)

• y = √(x) + 5

• y = √(x) − 5

Multiple Choice

Which equation is shown graphed?

• y = √(x + 3)

• y = √(x) + 3

• y = 3√(x)

• y = ⅕√(x)

Multiple Choice

Which equation is shown graphed?

• y = 2√(x)

• y = −2√(x)

• y = −½√(x)

• y = ½√(x)