 Review Quadratics for test re-take
†Tuesday†.
 Simplifying Radicals
 Class/Home Work
Today:
TGIF May 2, 2014
2nd Period
Quadratic Formula Test Results
Five Most Missed
Questions from
Quadratic Formula Test
What are the roots of xx 48
2
1 2
35% correct
Five Most Missed
Questions from Quadratic
Formula Test34% correct
7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic for...
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...
30% correctFinal
Problem:2p2 + 3p – 9 = 0
Quadratic Formula Review
Solve:
This equation is easily
solved by factoring:
(x – 5)(x – 1)
The solutions therefore, are
x...
Quadratic Formula Review
Solve by rounding to the
nearest hundredth:
Class Notes Section of Notebook
Square
Roots…
Which leads us
to…
Simplifying Radicals
Notice that these properties can be used
to combine quantities under the radical
symbol or separate t...
Simplify each
expression.
Product Property of
Square Roots
A.
Product Property of
Square Roots
B.
Simplifying Radicals
Simplify each
expression.
Quotient Property of
Square Roots
D.
Quotient Property of
Square Roots
C.
Solve ‘D’ above with t...
Simplify each
expression.
A.
B.
Find a perfect square
factor of 48.Product Property of
Square Roots
Quotient Property of
S...
Simplify each expression.
C.
D.
Product Property of
Square Roots
Quotient Property of
Square Roots
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 ...
If a fraction has a denominator that is a square
root, you can simplify it by rationalizing the
denominator.
To do this, m...
Simplify the expression.
Multiply by a form of 1.
Rationalizing the Denominator
Simplify by rationalizing the
denominator.
Multiply by a form of 1.
So far, all of our denominators have been monomials.
M...
Square roots that have the same radicand are called
like radical terms.
To add or subtract square roots, simplify each rad...
Add
.
Adding & Subtracting Radicals
Can these radicals be added?
Subtract.
Simplify radical terms.
Adding & Subtracting Radicals
Simplify radical terms.
Word
Problem
A stadium has a square poster of a
football player hung from the outside
wall. The poster has an area of 12,5...
Lesson Quiz: Part I
1. Find to the nearest tenth. 6.7
Simplify each expression.
2. 3. 4.
5. 6. 7.
8.
In the formulas & definitions section
of your note book, write the square of
each number from 1-15.
†These should be memor...
May 2, 2014
May 2, 2014
May 2, 2014
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May 2, 2014

  1. 1.  Review Quadratics for test re-take †Tuesday†.  Simplifying Radicals  Class/Home Work Today: TGIF May 2, 2014 2nd Period
  2. 2. Quadratic Formula Test Results
  3. 3. Five Most Missed Questions from Quadratic Formula Test What are the roots of xx 48 2 1 2 35% correct
  4. 4. Five Most Missed Questions from Quadratic Formula Test34% correct 7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula
  5. 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 D Solve (3x – 17)2 = 28 31% correct 3x – 17 = 3x = 17 + (factor out any perfect squares) 3x = 17 + 2 (divide by three)
  6. 6. 30% correctFinal Problem:2p2 + 3p – 9 = 0
  7. 7. Quadratic Formula Review Solve: This equation is easily solved by factoring: (x – 5)(x – 1) The solutions therefore, are x = 1 and x = 5
  8. 8. Quadratic Formula Review Solve by rounding to the nearest hundredth:
  9. 9. Class Notes Section of Notebook
  10. 10. Square Roots… Which leads us to…
  11. 11. Simplifying Radicals Notice that these properties can be used to combine quantities under the radical symbol or separate them for the purpose of simplifying square-root expressions. Separate Combine A square-root expression is in simplest form when the radicand has no perfect- square factors (except 1) and there are no radicals in the denominator.
  12. 12. Simplify each expression. Product Property of Square Roots A. Product Property of Square Roots B. Simplifying Radicals
  13. 13. Simplify each expression. Quotient Property of Square Roots D. Quotient Property of Square Roots C. Solve ‘D’ above with the numerator and denominator as separate radicals. Simplify numerator first
  14. 14. Simplify each expression. A. B. Find a perfect square factor of 48.Product Property of Square Roots Quotient Property of Square Roots Simplif y. Simplifying Radicals
  15. 15. Simplify each expression. C. D. Product Property of Square Roots Quotient Property of Square Roots Simplifying Radicals
  16. 16. 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:
  17. 17. 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. Rationalizing the Denominator
  18. 18. Simplify the expression. Multiply by a form of 1. Rationalizing the Denominator
  19. 19. Simplify by rationalizing the denominator. Multiply by a form of 1. So far, all of our denominators have been monomials. Monday we will rationalize binomial denominators.
  20. 20. Square roots that have the same radicand are called like radical terms. To add or subtract square roots, simplify each radical term and then combine like radical terms by adding or subtracting their coefficients. Adding & Subtracting Radicals You can only add or subtract radicals that have the same radicand. The coefficients are combined, the radicand stays the same. (Like the denominator of a fraction) Example: = 5 ?
  21. 21. Add . Adding & Subtracting Radicals Can these radicals be added?
  22. 22. Subtract. Simplify radical terms. Adding & Subtracting Radicals Simplify radical terms.
  23. 23. Word Problem A stadium has a square poster of a football player hung from the outside wall. The poster has an area of 12,544 ft2. What is the width of the poster? 112 feet wide
  24. 24. Lesson Quiz: Part I 1. Find to the nearest tenth. 6.7 Simplify each expression. 2. 3. 4. 5. 6. 7. 8.
  25. 25. In the formulas & definitions section of your note book, write the square of each number from 1-15. †These should be memorized† What you have is a list of perfect squares from 1 - 225. Square Roots…

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