uÿ ÿ 71 X Y Math Models and Applications FINAL EXAM Review Sheet Complete the following: 1. y=(x+3)2+5 Zÿ how much? Vertical shift: how much?

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1 Math Models and Applications FINAL EXAM Review Sheet Name: Date: Period: 1ÿ3 ÿ'ÿ6 7 Complete the following: 1. y=(x+3)+5 Zÿ Phase shift: ÿ,,.'ÿ how much?, how much? \ Vertical shift: ÿ how much? Vertical shift: ÿ how much?l Reflection Compression Stretch mession Stretch 3. y=lx+5 4. y=-3(x-5)+3 Phase shift: (ÿ7ÿ how much? ÿ:-ÿ) Phase shift: fÿ-.- how much? ÿ> Vertical shift: ÿ how much? ÿ-' Vertical shift: how much? Reflection Compression Graph the following using a table - clearly label points 5. y=(x-3)+l 6. y=(x+1)-3 X Y X Y uÿ ÿ 71 : I fll... 1 ; 4 i i... i i 1 1 i I i : I1 I 1 1 i

2 Graph the following without using a table - clearly label points. 7. y=(x+)+5 8. y=-(x-3)+l Write an equation of a quadratic using the given information - / 7 9. A shift down 3 and to the right A reflection and shift to the left 4. t... t;)< -- 1.

3 Find the greatest common factor for each set of numbers: 13. IOx, 5x4 GCF: ÿ xZyz, 4x4y3zz, 54x3yZz3 GCF: / ÿ ÿ ÿ Iÿ Polynomials - factor GCF out and have remaining part in parenthesis x3 +16xSy -36xy3 * ÿrdÿ Factor completely: 19. x +14x lox-5x

4 1. 81x-5 + Radicals - simplify "> + i... +.,. =) ÿ'(+ + Radicals - multiply z+. l.,]iÿ+ÿ ÿqÿ+++ Solve using the properties of exponents: 6. (++)4.(ÿ): ÿ ÿ 1.ÿ ÿ= i + ],.ÿ! /--,.+, 8. ( 4 xy9 ) ( 3xyS ) _ loxvy3... ÿjj-+ 7

5 , o.ÿ l.lÿj (gx sy )(x3y) _ 3. Draw a bar graph using the following data, be sure to clearly label. Enrollment in each Grade Students 9th th 40 11th 400 1th 360 Use the information from your bar graph to answer the following questions. a. What is approximately the median enrollment?

6 b. What is the mean of the enrollment? i'-? )0 fl I + --? 33. Draw a circle graph and complete the table below - be sure to clearly label. The sales at an Ice Cream Store are as follows - there were a total of ÿ0 items sold Types of Ice Cream Number sold Percent Sectors Vanilla Chocolate Strawberry Chocolate Chip l ff /oio 0 Use the information from your circle graph to answer the following question: a. Which crops makq-up approximately half the ice cream sold?

7 b. What is the sector of chocolate chip? 34. Draw a double bar graph for the following data - be sure to clearly label. Survey of Activities Activity Football Dancing Basketball Soccer Boys Girls bÿ f 0 j4s Use your double bar graph to answer the following questions: a. Which activity hidÿdÿhe largest difference between boys and girls? b. What is that difference from answer to problem a? ÿ ÿ

8 Solve the following equations: Show work for credit 35. 5x-=x (3x-5)= (x-1)=3-(x-3) (x-1)=4-(x+5) _;: / 0 > x;...,----' Draw a circle graph for each table below: Be sure to label each section and title of circle graph. 39. Favorite colors Colors Number of people Percent Sector Red 8,G Blue 0 Yellow Green 18 b 0

9 40. Grade Distribution for Class Grade Students A 4 B 8 C 6 D 4 F.if E " Percent t It Sector o 7?ÿj 41. Given the data...fill in the table, find indicated information and draw a circle graph: Grade on six weeks test: Grade Distribution 9O - IO0 (A) so - 89 (B) 75 - z9 (c) (D) Below 70 (F) Tally Marks t iiiii Total number of Grades Percent Sector

10 Circle graph for #41 Probability- complete the following- be sure to reduce all fractions Given the table of outcomes answer the questions 8-10: Roll of a dice: Roll Number Outcome Roll Number Outcome , The experimental probability of rolling a number less than 4 was is 43. The experimental probability of rolling an even number was 44. The experimental probability of rolling a 6 and then a 3 was

11 Given the table - answer questions Rolling a dice and flipping a coin: Event Dice Coin Event (1-6) (H or T) 1 4 H 6 1 H T T T The experimental probability of rolling a 4 and a head Dice (1-6) Coin (H or T) T H T H H iÿ 46. The experimental probability of rolling a number less than 3 and a tail I ÿ,j / ÿ,t- 47. The experimental probability of rolling a 5 and a tail 48. The experimental probability of rolling a 3 and a head / cÿ 49. The experimental probability of rolling an even number and a tail / J /ÿ Use the following information to answer questions There is a container with 6 tiles with the letters of the alphabet on them and another container with the tiles with the numbers 0-9 on them. 50. What is the probability that Elizabeth will draw a letter of her name and an even number ÿ 51. What is the probability that Jonathan will draw a letter of his name and a number that

12 5. What is the probability that Sally Smith will draw a letter of her name and the number 7 ÿ ' ÿ ÿ l Use the following information to answer questions 19-3 There is a container full of 3 marbles. There are 6 red marbles, 8 blue marbles, 5 yellow marbles, 7 green marbles and 6 purple marbles. 53. What is the probability that you will pull out a red marble, then without replacement pull out another red marble? ÿ....ÿ What is the probability that you will pull out a green marble, then replace it and pull out a blue marble? / 55. What is the probability that you will pull out a yellow marble and not replace it, then pull out a purple marble and not replace it, and then pull out a blu marble?.) 56. What is the probability that you will pull out a red marble replace it then a blue marble do not replace the blue marble, then pull out a yellow marble? jÿ jtt 57. What is the probability that you will pull out 3 yellow marbles in a row, without replacing after each grab. o'ÿ", _;,.s>-