Solving Equations with Square and Cube Roots

Presentation

•

Mathematics

•

9th - 11th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 8 Questions

Equations with Square and Cube Roots

by Mr. Coffey

Reminder about equations...

Example:

Our goal is always to UNDO the operations around the variable that we are solving for...

3x + 4 = 16

-4

3x = 12

x = 4

Fill in the Blanks

Review: What does x equal in this equation?

(Hint: Undo everything on the side of x)

$4x-7=9$

Type answer...

What about square roots?

<-- Opposites -->

The opposite of taking a square root is... squaring!

Example:

Fill in the Blanks

You try! What does x equal?

$\sqrt[]{x}=7$

Type answer...

What about CUBE roots?

<-- Opposites -->

The opposite of taking a cube root is... you guessed it: cubing!

Example:

Fill in the Blanks

You try! What does x equal?

$\sqrt[3]{x}=4$

Type answer...

Multiple Choice

Let's practice! Solve for a.

(Hint: Undo the square LAST)

$3\sqrt[]{a}=6$

Multiple Choice

Solve for b.

(Hint: Undo the square LAST)

$\sqrt[]{a}-9=-3$

Multiple Choice

Solve for y.

$2\sqrt[3]{y}=10$

125

Multiple Choice

Solve for x.

(Hint: What are we multiplying $\sqrt[3]{x}$ by?)

$-\sqrt[3]{x}=-7$

-343

343

-49

Multiple Choice

Solve for h.

(Hint: Begin with adding/subtracting)

$-2\sqrt[3]{x}-3=-7$

-5

-12

Equations with Square and Cube Roots

by Mr. Coffey

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