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College Algebra K /DC Friday, 11 October 2013PowerPoint Presentation

College Algebra K /DC Friday, 11 October 2013

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College Algebra K/DCFriday, 11 October 2013

- OBJECTIVETSW simplify expressions with radicals.
- ASSIGNMENT DUE TUESDAY, 10/15/13
- Sec. R.6: p. 59 (3-35 all)

- ASSIGNMENT CHANGE FOR TODAY
- Sec. R.7: pp. 70-71 (15-59 odd, 61-76 all)

- QUIZ on Tuesday, 15 October 2013
- Sec. R.6: No calculators, but you may use an exponents chart.

You will do this next week!

Radical Definitions

Notation for a1/n

If a is a real number, n is a positive integer, and a1/n is a real number, then

Notation for am/n

If a is a real number, m is an integer, n is a positive integer, and is a real number, then

Principle Square Root / Principle nth Root

A principle square root (principle nth root)isALWAYSpositive!!!

Radical Definitions

Evaluating___

If n is an even positive integer, then

If n is an odd positive integer, then

Use absolute value only when necessary.

Radical Definitions

Product Rule

Quotient Rule

Power Rule

If the indices are the same, multiply the radicands (numbers under the radical).

Evaluating Roots

- Write each root using exponents and evaluate.

(a)

(b)

(c)

is not a real number.

(d)

College Algebra K/DCTuesday, 15 October 2013

Test has been moved to Monday, 10/21/13.

- OBJECTIVETSW simplify expressions with radicals.
- ASSIGNMENT DUE
- Sec. R.6: p. 59 (3-35 all) wire basket
- Sec. R.6: p. 60 (47-70 all) black tray

- ASSIGNMENT CHANGE
- Sec. R.7: pp. 70-71 (15-59 odd) due tomorrow
- Sec. R.7: p. 71 (61-76 all) due tomorrow
- Sec. R.7: p. 71 (85-93 all) due test day

- QUIZ: Sec. R.6
- Will be given at the beginning of class
- 20 minutes max to work on it.
- No calculators, but you may use an exponents chart.

Assignment: Sec. R.7: pp. 70-71 (15-59 odd)Due today, Wednesday, 16 October 2013

- Copy the problem, then simplify.

- Copy the problem, then simplify.

College Algebra K/DCWednesday, 16 October 2013

- OBJECTIVETSW simplify expressions with radicals.
- ASSIGNMENT CHANGE
- Sec. R.7: pp. 70-71 (15-59 odd) wire basket
- Sec. R.7: p. 71 (62-76 even) due by end of period today
- Sec. R.7: p. 71 (85-93 all) due test day

Test has been moved to Monday, 10/21/13.

Adding and Subtracting Like Radicals

- NOTE: When adding, subtracting, and multiplying, we will assume that all variables are positive.
- Add or subtract as indicated.

Subtract coefficients

(a)

Same radicand

(b)

Different radicands – simplify first

Adding and Subtracting Like Radicals

- Add or subtract as indicated and simplify.

(c)

already simplified

(d)

Assignment: Sec. R.7: p. 71 (62-76 even)Due today, Wednesday, 16 October 2013 black tray

- Copy the problem, then simplify.

Rationalizing Denominators

- Rationalize each denominator.

(a)

“What is the index of the denominator?”

2

(b)

“What will make the denominator a perfect square?”

49

Simplifying Radical Expressions with Fractions

- Simplify the expression.

Simplify radicand.

Quotient rule

Quotient rule

Rationalize denominator.

Simplifying Radical Expressions with Fractions

- Simplify the expression.

Simplify radicand.

Quotient rule

Multiply top and bottom by the conjugate of the denominator.

Simplifying Radical Expressions with Fractions

- Simplify the expression.

Simplify radicand.

Quotient rule

Simplifying Radical Expressions with Fractions

- Simplify the expression.

Simplify radicand.

Quotient rule

Simplifying Radical Expressions with Fractions

- Simplify the expression.

Simplify radicand.

Quotient rule

Assignment: Sec. R.7: p. 71 (85-93 all)Due Monday, 21 October 2013

- Copy the problem, then rationalize the denominator.

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