3/4/2016Review of 8-4 & 8-53/4/2016 Problems of the Day Simplify the expression. 3/4/2016 a.b.c.

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Presentation transcript:

3/4/2016Review of 8-4 & 8-53/4/2016 Problems of the Day Simplify the expression. 3/4/2016 a.b.c.

3/4/2016Review of 8-53/4/2016 3/4/2016 Problems of the Day Simplify the expression. 3/4/2016 d.e.f.

3/4/2016Review of 8-5 e) Find the geometric mean of the integers from 1 to 10 to nearest hundredth.

3/4/2016Review of 8-6 Problems of the Day 3/4/2016 Rewrite each expression without a radical sign in the denominator. a.) b.) c.)

3/4/2016Review of 8-63/4/2016 Problems of the Day 3/4/2016 Rewrite each expression without a radical sign in the denominator. a.)

3/4/2016Review of 8-63/4/2016 Problems of the Day 3/4/2016 Rewrite each expression without a radical sign in the denominator. b.)

3/4/2016Review of 8-63/4/2016 Problems of the Day 3/4/2016 Rewrite each expression without a radical sign in the denominator. c.)

3/4/ & Powers and Roots of Negative Numbers

3/4/ & 8-8 Integer Powers A negative integer raised to a positive odd power is a negative number. A negative integer raised to a positive even power is a positive number. A negative integer raised to a negative odd power is a negative fraction. A negative integer raised to a negative even power is a positive fraction.

3/4/ & 8-8 Integer Powers

3/4/ & 8-8 Roots of Negatives When x is negative and n is an odd integer greater than 2: stands for the real nth root of x

3/4/ & 8-8Theorem

Lesson Review 3/4/ & 8-8 power 1. Write (–6) 4 (–6) –5 as a power. 2. Evaluate. a. b. 3. Simplify. a. b. (–6) –1 – 2 4 – 3

3/4/ & Solving Equations with Radicals

3/4/ & 8-8 Solving Radical Equations To Solve an equation where the variable is inside a radical: Get the radical alone on one side. Raise both sides of the equation to the root of the radical. Solve for the variable. ALWAYS Check your answer!!!!!

3/4/ & 8-8 Solving Radical Equations  CHECK:

3/4/ & 8-8 Extraneous Solutions Sometimes what appear to be solutions really are not solutions. This is why you must always check: Sometimes what appear to be solutions really are not solutions. This is why you must always check: Solutions that don’t really work are called extraneous.  CHECK:

Lesson Review 3/4/ & 8-8 Find all real solutions. Be sure to check for extraneous solutions. a) b) c) d) 81 – 1 No Real Solutions 31

3/4/ & 8-8Assignment Worksheet 8-7 & 8-8 (Front & Back)Worksheet 8-7 & 8-8 (Front & Back) (8-7) Pages #'s 2-5, 11-13, 15-17, 22, 23, 25a.(8-7) Pages #'s 2-5, 11-13, 15-17, 22, 23, 25a. (8-8) Pages #'s 1-4, 8, 9, (8-8) Pages #'s 1-4, 8, 9, Quiz on Sections 8-4 to 8-6 on Wednesday, May 20 th !!!Quiz on Sections 8-4 to 8-6 on Wednesday, May 20 th !!! Chapter 8 Test on Friday, May 22 nd !!!Chapter 8 Test on Friday, May 22 nd !!!