ALGEBRA III / APPLICATIONS FINAL EXAM REVIEW

Transcription

1 Name ALGEBRA III / APPLICATIONS FINAL EXAM REVIEW TOPICS: o POLYNOMIALS, Factoring, Dividing, Adding o Polynomials o Trigonometry o Finance: Taxes o Finance: Interest o Finance: Car payment o Finance: Interpret paystub

2 POLYNOMIALS: 1, Factor Completely A) x 4x 4 D) 3x6y 1 B) 3x 1x 9 E) 75x y z 15x y z C) 4 3 4x 8x 1x F) x y 4y. MULTIPLY. Answer is in simplest form. A) F) (3x4)(3x 4) (x 9x 3)(5x 7) B) 3 (3 x ) G) 3 6 x (4x 8x 9) C) ( x7)( x 3) H) ( x 9)(7x 1)( x 3) D) E) x i) x x ( 5) 5(3 x y ) xy Divide. Answer in simplest form. A) 1x yz 18xy z E) x 5x4 x 3x40 B) 4 7x (3 x ) 4 F) 36x 90 30x 75 C) 4x 1x 16x 4x 3 G) 3x 5x 3x 14x5 D) 7x y z 36x y 4 3 9xy H) 15x y 6x y 6x y 15x y I) 3 x x x x x x 3x

3 4. Add or Subtract A) 3 x 7 x 1 x 1 E) 16 4 x 3x x z 1 1 B) F) 3 y 15 y x 9x 8 x 5x C) x 3x x x4 x6 x 8x 15 x 1x 35 G) D) 3x 3x x1 x1 H) x x x 5. Find the value of x that makes this statement true: 6. Find the value of x that makes this statement true: 7. Find the value of x that makes this statement true: 8. Find the value of x that makes this statement true: 9. Find the value of x that makes this statement true: 10. Find the value of x that makes this statement true: x + 3x + 8 x = 9 3x + 1 x + 4 = 3 1 x x x x x 4x 4x x x3 1 3x x x

4 TRIGONOMETRY: 1. What are the six trigonometry ratios?. Given the triangle A). Use a trig ratio to find the length of side c to the nearest thousandth. B). Find the angle measures for A and B. 3) Use the given triangle. A) How many degrees is angle x? x 18 8 B) Find angle y y 4) Use your calculator A). Find the sine of 35 B). Find the tangent of 88 1 C). Find the cosine of 65 D). If the cos x, what is the value of x? E). If the tangent of y = 1.00, what is the value of y?

5 5) In ABC, angle C is the right angle. Solve each triangle for ALL missing sides and angles. A) b 7 cm c 14.3cm B) 0 A 43 c 11 km C) a 4 ft b 1.8 ft 6) Find the six trig ratios if: A) 4 cos 5 B) csc 5 7) C) tan 1 8) 9) 10)

6 FINANCE: TAXES Use the tax tables (Federal, State, FICA, Medicare) to determine the take-home pay (net income) for the employees who earned: Gross Pay Weekly Gross Pay Federal Tax Withholding (table below) CT State Tax Withholding Social Security Tax 6.% Medicare Tax 1.45% Total Tax Deducted Weekly Pay Check $5, Sally s annual income is $5,000. a) how much federal tax must she pay for the year? b) how much local tax (state) must she pay for the year? c) how much FICA and Medicare tax must she pay for the year? d) What is the total of her tax costs for the year? e) What is her net income for the year? f) What is her weekly take-home pay check? Social Security tax rate 6.% Medicare Tax rate 1.45%. Bob works 40 hours a week and earns $15.0 per hour. a) how much is his gross earnings per week? b) Project his annual gross income from your answer to (a) Use this figure (b) to determine his annual tax rates for federal and state tax c) federal tax rate = % State tax rate = %

7 d) Go back to his weekly gross earnings and compute deductions: Gross Pay Weekly Gross Pay Federal Tax Withholding (table below) CT State Tax Withholding Social Security Tax 6.% Medicare Tax 1.45% Total Tax Deducted Weekly Pay Check 1) federal tax for the week ` ) state tax for the week 3) combined FICA and Medicare 4) total deductions 5) net income for the week Read and Interpret pay stubs: Rusty Nail Salon Name Payroll Period Check No. Kylie Andrews 1/15 1/ 8346 Employee Number Amount 098 Earnings Taxes Withheld Other Deductions Description HRS Amount Tax Current YTD Description Amount Regular 40 $350 Fed. Income Tax Medical Ins $43.78 Social Security Medicare CT State Income Tax Kylie has a full-time job. To help you better understand the difference between gross income, net income, and some common payroll deductions, analyze the pay stub for Kylie. Then answer the following questions: 1. Who is Kylie s employer?. What is the length of the pay period Kylie just worked? 3. How many total hours did Kylie work during this pay period? 4. What amount per hour does Kylie get paid for regular hours worked? 5. Did Kylie work any overtime this period? 6. If so, how many hours? 7. What amount does Kylie get paid for overtime?

8 8. What is Kylie s gross income for this period? 9. List the type and amount of each tax deduction for Kylie for this pay period: 10. List the type and amount of any other deductions for Kylie for this pay period: 11. What is Kylie s net pay for this check?

9 FINANCE: INTEREST 1. Compare the interest earned on an investment of $4000 for three years at 5% a) simple interest b) compounded semiannually c) compounded quarterly d) compounded continuously. If Joe borrows $,500 to buy a car at six percent interest compounded quarterly for three years, then how much does he need to pay per month? 3. Use the car payment formula found on your formula sheet to see how much the monthly cost will be if Joe buys a car for $18,000 with a five year loan at 6% annual interest rate that compounds monthly. 4. Use a compound interest formula to see how much an investment of $5,000 would be worth after 15 years if it earns 8% annually. 5. How much money will you have in 6 months if you invest $1000 at 3% compounded monthly? 6. You are investing $1500 at 5.% compounded continuously. How much money will you have in 1 years? 7. How much money do you need to invest at.8% compounded continuously in order to have $5,500 at the end of 8 years?

10 Algebra III Final Exam Formulas TRIGONOMETRY: sin(x)=opp/hyp cos(x) = adj/hyp tan(x) = opp/adj csc(x)= hyp/opp sec(x) = hyp/adj cot(x) = adj / opp Simple interest: I = P*R*T Compound interest: A = p(1 + r) t AP 1 r n nt Car Payment: P r r 1 m