Unit 4B Test Review: Radical Relationships

Simplify:  

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CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\sqrt{\frac{4x^7y}{9x^2y^5}}$  Simplify:

•  $\frac{2\sqrt{x^3}}{9y}$  

•  $\frac{2x^2\sqrt{x}}{\sqrt{3y^2}}$  

•  $\frac{\sqrt{x^3}}{3y^2}$  

•  $\frac{2x^2\sqrt{x}}{3y^2}$  

Tags

CCSS.HSN.RN.A.2

Subtract:

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CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

 Joshua's eye-level height is 72 ft about sea level, and Dana's eye level height is 200 ft above sea level. How much further can Dana see into the horizon?Use the formula $d=\sqrt{\frac{3h}{2}}$ 

 (d = distance in miles, h= eye level height in feet)

•  $16\sqrt{3}$  meters

•  $4\sqrt{3}$  meters

•  $4$  meters

•  $4\sqrt{6}$  meters

Tags

CCSS.8.EE.A.2

Find the simplified product

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\sqrt{2xy^3}\cdot\sqrt{10x^2y^4}$  

•  $4xy^3\sqrt{5xy}$  

•  $2xy\sqrt{5xy^2}$  

•  $2x^2y^2\sqrt{5xy}$  

•  $2xy^3\sqrt{5xy}$  

Tags

CCSS.HSN.RN.A.2

Rewrite the rational exponent expression as a radical expression. $x^{\frac{3}{8}}$  

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CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Rewrite the rational exponent expression as a radical expression: $\left(16x^2y^{-16}\right)^{\frac{1}{4}}$  

•  $\frac{4\sqrt{x}}{y^4}$  

•  $\frac{4x^2}{y^4}$  

•  $\frac{2\sqrt{x}}{y^4}$  

•  $4x^2y^4$  

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CCSS.HSN.RN.A.2

The parent function $f\left(x\right)=\sqrt{x}$ is transformed into the function  $g\left(x\right)=\sqrt{x-2}-1$ .  Identify the transformations that occurred. 

• Vertical shift up 1
  

• Vertical shift down 1

• Horizontal shift left 2

• Horizontal shift right 2

• x-axis reflection

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7