Today's agenda includes: 1) Reviewing the quadratic formula and taking a test on it 2) Learning how to simplify radicals with variables through examples and practice problems 3) Working on new Khan Academy topics 4) Doing class work, which includes 10 questions on simplifying radicals with variables that are due by the end of class.

1. Today:
 Review: Quadratic Formula
Test
 Simplifying Radicals
w/Variables
 New Khan Topics: (3)
 Class Work

2. Khan Academy Topic Name Change
From To
Simplifying
Radicals 1
Simplifying Square
Roots
Simplifying
Radicals 2
Simplifying Square
Roots 2
Adding &
Subtracting
Radicals
No Change in
Name

3. What are the roots of xx 48
2
1 2

35% correct
Five Most Missed Questions from Quadratic Formula Test
# 5

4. 34% correct
7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula
Five Most Missed Questions from Quadratic Formula Test
# 4

5. 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)

6. 30% correctFinal Problem:
2p2 + 3p – 9 = 0

7. Class Notes Section of Notebook

8. 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

9. 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:

10. Quotient
Property.
Simplify. All variables represent nonnegative numbers.
Simplifying Radicals w/Variables
a.
Simplify each expression.
b.
≠ 17
c.
2

11. Simplifying Radicals w/Variables
32x5y3z2 =Practice:Review:
25
x
17
27x12
x x 8
3 3x x 6 7
3 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 6
4 3x x
4x2yz xy

12. Class Work 4.6:
1. *
3.
4. 6.
7.
10 Questions, Due by end of class. Show all work!!
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