Today:

Review: Quadratic Formula

Test

Simplifying Radicals

w/Variables

New Khan Topics: (3)

Class Work

Khan Academy Topic Name Change

From ToSimplifying Radicals 1

Simplifying Square Roots

Simplifying Radicals 2

Simplifying Square Roots 2

Adding & Subtracting

Radicals

No Change in Name

What are the roots of xx 482

1 2

35% correct

Five Most Missed Questions from Quadratic Formula Test

# 5

34% correct

7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula

Five Most Missed Questions from Quadratic Formula Test

# 4

33% correct

Solve 3x2 – 13 = 47. Round your solution to the nearest hundredth.

A. + 3.37 B. + 37.89 C. + 13.21 D. + 4.47 E. None

3x2 = 60 x2 = 20 x = + 𝟐𝟎 x = +𝟐 𝟓 𝟓 = 2.236

D

# 3

Solve (3x – 17)2 = 2831% correct 3x – 17 = 𝟐𝟖

3x = 17 + 𝟐𝟖 (factor out any perfect squares) 3x = 17 + 2 𝟕

(divide by three)

30% correctFinal Problem:

2p2 + 3p – 9 = 0

Class Notes Section of Notebook

If a fraction has a denominator that is a square root, you can simplify it by rationalizing the denominator.

To do this, multiply both the numerator and denominator by a number that produces a perfect square under the radical sign in the denominator.

Multiply by a form of 1.

Simplifying Radicals

Simplifying Radicals w/Variables

x6y7z3 =Easy

x3y3z yzx•x • x•x • x •x • y•y • y •y • y •y • y • z •z • z =

Describe the process in one word:

Practice:

Quotient

Property.

Simplify. All variables represent nonnegative numbers.Simplifying Radicals w/Variables

a.

Simplify each expression.

b.

≠ 17

c.2

Simplifying Radicals w/Variables

32x5y3z2 =Practice:Review:

25x1727x12x x 83 3x x

6 73 16x x

Bronze Level Silver Level Gold Level

3 2 2 2 2 x x x x x x x x x x x x x

3 2 2 2 2 x x x x x x x x x x x x x

2 2 3 x x x x x x x 64 3x x

4x2yz xy

Class Work 4.6:

1. *3.

4. 6.

7.

10 Questions, Due by end of class. Show all work!!

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