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Do Now 6/10/13 Copy HW in your planner. Review worksheets Chapter 8 & 9 Algebra Final Exam – Thursday, June 13th Algebra Final Preview Thursday, June 13th 2 hours 50 Total Questions – (2 points each) Part I: Part II: 40 multiple choice 8 short answer / graphs Work must be shown Part III: 1 open-ended (2 parts) Objective SWBAT review Chapter 8 concepts; exponents involving products and quotients and solve problems using negative and zero exponents. POWER an expression that represents repeated multiplication. 2 4 EXPONENT BASE Product 2222 Words two to the fourth power Section 8.1 “Apply Exponent Properties Involving Products” (1) Product of Powers Property a a a m n (ab) 63 5 5 5 6 3 5 9 (2) Power of a Power Property (a ) a m m n n 43 (3 ) 3 mn 4 3 3 12 (3) Power of a Product Property m a b m m (2317) 23 17 5 5 5 Section 8.2 “Apply Exponent Properties Involving Quotients” (1) Quotient of Powers Property am mn a an 47 72 5 4 4 42 (2) Power of a Quotient Property a b m m a m ,b 0 b 7 3 3 7 2 2 7 Section 8.3 “Zero and Negative Exponents” Let ‘n’ be a positive integer and ‘a’ be a nonzero number. Negative Exponents a n 1 n a reciprocals 2 3 1 1 2 3 9 Zero Exponents a 1 0 5 1 0 Any number or variable to the zero power is always equal to one. Evaluate the expressions. 1) 4 3 1 1 3 4 64 3) 1 5 2) 2 0 (5) 1 1 2 1 5 1 1 25 25 Try It Out... Use All Properties of Exponents 2xy 5 3 23 x 3 ( y 5 ) 3 8 x 3 y 15 3 8x 15 y (2 x) 2 y 5 2 2 4x y y5 ( 2 x ) 2 ( 4 x 2 y 2 ) y5 (4 x 2 )(4 x 2 y 2 ) 5 y 4 2 16x y 3 y 4 16x Section 8.4, “Scientific Notation” A number is written in scientific notation if it has the form: n c 10 where c is greater than or equal to 1 but less than 10. Standard form Product form Scientific notation 3400 3.4 1000 3.4 103 **HINT: How many spots has the decimal point moved? 0.00032 3.2 0.0001 3.2 104 Evaluate the product. Find the product of 1 (0.310 ) and (0.6 10 ) 4 4 1 (0.3 10 ) (0.6 10 ) Write the product 4 1 (0.3 0.6 10 10 ) Reorder 5 Multiply (0.18) (10 ) 6 1.8 10 0.0000018 Write in scientific notation Decimal form 3 (2 10 ) 6 (8 10 ) Evaluate the quotient. 2 103 6 8 10 Write the product (0.2510 ) 3 2.5 10 2 Write in scientific notation 250 Decimal form Homework Punchline worksheets 17.14 & 18.4 “Just Before Giving Birth to Her First Child, Why Did Mrs. Plum Yell: “Shouldn’t, Couldn’t, Wouldn’t, Didn’t, Can’t”? SHE WAS HAVING CONTRACTIONS “What Law Firm Is Famous For Sneaky Legal Tricks?” DEWEY CHEETHAM AND HOWE