Sheboygan Area School District



Name: ____________________________________Algebra Ch. 8 Algebra 8-1: Compound Interest Warm-Up Change from a percent to a decimal.25% _____________2.5%_____________.25%_____________.025%_____________.0025%_____________VocabDefinitionprincipalinterestannual yield ________________ ________________ ______________________ Ex: ___________ = ___________compound interest ________________ ________________ ________________ ______________ = ___________________ ( 1 + ________________ ______________) years ___________________________________________ Ex: * x0 = ______ x4 = ___________________________ExamplesIf X dollars are invested in an account at 5.2% annual yield, ___________________what will the value of the account be at the end of a year? Suppose you deposit $150 in a savings account upon which the bank pays an annual yield of 3%. Make a table to show how much money will be in the account each year until the 4th year.YearCalculationSimplifyTotal $1234Suppose $500 is deposited in an annuity with a 7% annual yield. If there are no deposits or withdrawals, how much will be in the account after 8 years?A baby’s grandparents invest $1000 on the day their grandchild is born.How much is the investment worth on the grandchild’s 18th birthday if it earns 6.3% annual yield?How much interest was earned?Assignment: 8-1 #’s 4-6, 9, 11-15, 19a, 23Algebra 8-2: Exponential Growth Warm-Up1. You earned $200 this summer and put it in a savings account.How much is the investment worth in 10 years if it earns .25% annual yield? ______________How much interest was earned?______________Find the value for each term for x = 1, 2, 3, 4, 5, & 62x ____________________________________________3 2x____________________________________________VocabDefinitionExponential Growth__________________________________________________________________________________________________________________________________________________________growth factor ( _____ ) > ________365760023812500b gxEx: 200 (1.1)3Examples1. If you start with a penny and double the amount you save each day, how much will you have after 12 days? Draw a graph that represents the situation.2. Through the 1980’s, the population of Central and South America grew at a rate of about 2.1% per year. In 1991 the population was 458 million people. If this growth continues, what will the population of Central and South America be in the year 2000?3. If you save a penny in January and double the amount of savings each month, how much would you save in a year?Assignment: 8-2 #’s 9, 11, 14-21, skip 17, 2 graphsAlgebra 8-3: Comparing Constant Increase & Exponential GrowthWarm-Up1. Seth told Joey that a small bug, which weighs .05 of an ounce, will double its weight every day for two weeks. Should Joey believe Seth? Why or why not?VocabDefinitionGraphExponential GrowthConstant Increase2 Ways to Compare________________________________________________________________________________________ExamplesWhich is the better savings plan?Plan A: You have $5 and save $2 a day.Plan B: You have $5 and save 10% of the money you had the previous dayDayPlan APlan B78549517081500Assignment: 8-3 #’s 1, 3-7, 10-20, skip 14Algebra 8-4: Exponential DecayWarm-UpSuzie is saving money. She started with $50 and is saving 5% each day. How much money will she have after 90 days?Suzie is spending money. She started with $50 and is spending 5% each day. How much will she have after 90 days?Exponential GrowthExponential Decay36576005397500Example1. Becca starts with $100 each week. She pays her teacher 10% each week for helping her. How many weeks go by before she runs out? Make a table.Graph. 2. For a certain type of calculator that cost $350 in 1973, the price dropped about 19% each year. What was the price 15 years later?Assignment: 8-4 #’s 2, 3, 5-8, 12-14, 16, 18-25Algebra 8-5: Products & Powers of ProductsWarm-Up Joe’s car is worth $15,000. It depreciates at 17% a year. How much is the car worth in 3 years? ___________3. ___________4. x 0 = ________PropertyDefinitionExampleProduct of PowersPowers of a PowerRemember…When multiplying, in order to add the _______________, the ______________ must be the same.If you are unsure or forget the property, you can always ____________ _______ __________!ExamplesMultiply.1. = ___________2. = _______________3. ____________________4. ________________________Simplify.5. (r4)5 __________6. (x5)10 __________7. (x6)1 __________8. 3x5(x7)3 ____________Solve.9. 10. 11. 12. 13. 14. Assignment: 8-5 #’s 1-35, skip 2, 5, 23 & 30Algebra 8-6: Negative ExponentsWarm-UpJack put $56 into a savings account with an annual yield of 2.5%. How much money is in the account after 120 days?Simplify. 3. Simplify. 4. Solve. 5. Solve. PropertyDefinitionExampleNegative ExponentRemember…When in doubt, ____________ _______ __________!ExamplesWrite without negative exponents.1. (g4)-2 __________2. (x5)-6 __________3. (s6)s-5 __________4. (t-8)t-2 __________5. (x3)y-5 __________6. (x5y2)x-3y-4 __________Solve.7. 8. 9. 10. 4 years ago Joey put money in an account with an annual yield of 5.6%. If there is $460 in the account today, what was it worth then?Assignment: 8-6 #’s 1-16, 19-29, skip 11 & 20, 1 graphAlgebra 8-7: Quotients of PowersWarm-UpSimplify. 2. Simplify. 3. Simplify. 4. Simplify. PropertyDefinitionExampleQuotient of PowersRemember…When in doubt, ____________ _______ __________!If there are numbers in front of the variables, ________________, _______________ them.ExamplesSimplify. Write without negative exponents.1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Rewrite the multiplication problem 16 64 = 1024 using powers of 2.11. March 1992 there was a total of 283.9 billion dollars in U.S. currency in circulation. The U.S. population was about 252.7 million. How much currency per person was in circulation?Assignment: 8-7 #’s 1-29, skip 3 & 13Algebra 8-8: Powers of Products & QuotientsWarm-UpMultiply.1. (2/3)(2/3)2. (4/5)(4/5)3. (3x)(3x)4. (-4x)(-4x)PropertyDefinitionExamplePower of a ProductsPower of a QuotientRemember…When in doubt, ____________ _______ __________!ExamplesSimplify.1. 2(5x)3 __________2. (-xy)5 __________3. -(-a2b3)4 __________4. (2/3)5 __________5. (2x/y)4 __________6. (2x/5y)(7/xy)3 __________7. Find the volume of a cube with a side-length of 3x.8. Find the volume of a cube with a side-length of (1/3)x.Assignment: 8-8 #’s 1-35, skip 2, 5, 23, & 30Ch. 8 Review Day ICh. 8 Review Day IIPg. 543 #'s 2-24 Even, 28-41 Pg. 543 #’s 45-52, 55-57, 60, 63-65, 74, 79, 82Extra Work Space: ................
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