Math Models Final Exam Review

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1 Final Exam Review, Page of Name Date Period Math Models Final Exam Review A box contains opals, garnets, and pearls. A jewel is selected at random from the box. Find each probability.. P(the jewel is a garnet). P(the jewel is either a pearl or a garnet). P(the jewel is a emerald). The scores on the Unit Exam are listed below. What is the probability that a student picked at random scored % or above?. A manager of a sporting goods store was analyzing a frequency table identifying the number of shoes sold during the last months. Which measure of data describes the most popular shoe sold?. Frank rolled a die times and recorded his results in the tally chart below. What is the experimental probability of rolling a?. Using the tally chart in problem #, what is the experimental probability of rolling a?. The vertex of f ( x) x is A. (, ) B. (, ) C. (-, ) D. (, -). Define the median of a list of data:

2 Final Exam Review, Page of. For the information in the table below, circle the correlation between the elbow-hand length in cm and the height in cm of high-school students. Elbow-hand length Height negative positive no correlation Use this work bank for problems # Word Bank Negative Opposite Reciprocal Same Positive Zero No Slope One Horizontal Vertical. Lines that are parallel have slopes that are the.. Lines that are perpendicular have slopes that are.. Horizontal lines have a slope of.. Vertical lines have a slope of.. Which pair of variables is most likely modeled by the following scatterplot? A The amount of calories burned and the person s height B The amount of calories burned and the amount of time resting after a run. C The amount of calories burned and the amount of time spent exercising D The amount of calories burned and the amount of time spent sleeping

3 Final Exam Review, Page of. Write the correlation for each graph? Word Bank: No Correlation, Positive, Negative, Quadratic Correlation. What are the solutions to x² + x = x. Mrs. Williamson asked each of her students what color car they drove. The results are recorded in the table below. What is the central angle of the sector that represents the black cars? Record your answer in the chart below and fill in the bubbles. Color White Red Silver Blue Black Other Number.

4 Final Exam Review, Page of. Events C and B are dependent events. The probability of event C is. and the probability of event B, given that event C has occurred, is.. What is the probability of C and B? Record your answer and fill in the bubbles on the grid below.. (This problem was copied from the TAKS test.). The graph shows the price of a share of Compuco stock at the close of each day during a - week period. Price Per Share / / / / / / / Date Based on the data in the graph, which conclusion is most accurate? F The closing price remained constant throughout the week G The closing price increased at the beginning of the week and then leveled off at the end of the week. H The closing price decreased at the beginning of the week and the increased at the end of the week. J The closing price each day was lower than the closing price on the previous day.. Ashley rolls a die, flips a quarter, and then rolls the die again. What is the probability that he will roll two odd numbers and that the coin will land on heads?

5 Final Exam Review, Page of. The distance on a map from Dallas to New Jersey measured with a centimeter ruler is, and the map scale is centimeter = kilometers. What is the actual distance in kilometers? Record you answer on the grid below. (Hint use a proportion.) Given the following equation, plug into the quadratic formula and solve.. x x x =. The following solution for this inequality is incorrect. Put a star by the step that is incorrect and then work the problem correctly. x x x x. Leslie earns $ per week if she works exactly hours. She earns $ for each additional hour beyond hours. Write the inequality that describes h, the number of additional hours she must work in order to earn at least $ in week? DO NOT SOLVE!.

6 Final Exam Review, Page of. Normal tire pressure in an automobile tire is psi (pounds per square inch). It is safe for the normal pressure to vary by psi in either direction. Which number line shows the range of safe tire pressure? A. B. C. D. Matching Problems #- Match the following descriptions to their graphs.. You pull the plug out of the bathtub. The amount of water remaining in the tub and the number of seconds since you pulled the plug.. As you play with a yo-yo, the number of seconds that have passed and the yo-yo s distance from the floor are related.. Your height depends on your age. A C B D

7 Final Exam Review, Page of. Dorcus Carter s family owns a pecan orchard. Each pecan tree produces from to pounds of pecans each year. There are pecan trees. What is the highest and lowest number of pounds that could be produced per year?. Richard has grasshoppers of the same species. The corresponding parts of the grasshoppers bodies are proportional. The larger grasshopper has an -centimeter body and a. centimeter forelimb. The smaller grasshopper has a. centimeter forelimb. How long is the body of the smaller grasshopper?. In order for a student to be considered for a certain college grant, the combined income of the student s parents must be less than $,. If F is the father s income and M is the mother s income, which sentence represents the conditions of the grant? A. F + M > $, B. F < $, C. F + M > $, D. F + M < $, E. F x M < $,. What is the equation that describes the data in the table? X - - Y -

8 . Which of the following situations would produce the graph shown? Final Exam Review, Page of S p e e d Time A. Amber began walking, rested for a while, and then began to run. B. Amber started sprinting, stopped to rest and then started sprinting again. C. Amber was running, started to sprint, then slowed down to rest. After a while she started to walk. D. Amber started at a slow jog, then gradually increased to a sprint. Use the equations below to answer questions # and # I y = - x + II y = x + III y = x IV y = - x + V y = - x. Which equations represent lines that are parallel? A. I and II B. I and III C. I and IV D. III and IV E. Not Here. Which equations represent lines that are perpendicular? F. I and III G. I and V H. II and III J. II and V K. Not Here

9 . Write the equation of the function that includes all the ordered pairs in the table? x - y - - Final Exam Review, Page of. Joseph was riding his scooter to school, when he ran out of gas. He stopped to check the scooter, then he walked the rest of the way. Which of the following graphs best models this situation? F. H. D i s t a n c e D i s t a n c e Time Time G. J. Not Here D i s t a n c e Time. Jim has a $ gift certificate for a movie theater. Each time that he sees a movie, m, $ is deducted from his gift-certificate balance, b. Write an equation that describes b in terms of m?

10 Final Exam Review, Page of. Employees receive a bonus of $ plus $ per hour, h, for working on New Year s Eve. If an employee earned no more than $, write and inequality that represents this situation? DO NOT SOLVE.. If pens and pencils cost $. while pens and pencils cost $., how much does each pen and pencil cost?. A rectangle has a perimeter of cm. Its length is cm more than its width. Find the dimensions.. Jimmy had $. in nickels and quarters. If he had more nickels than quarters, how many coins of each type did he have?

11 Final Exam Review, Page of. Tickets for a school football game cost $. each if purchased before the day of the game. They cost $. each if bought at the gate. For a particular game, tickets were sold, with receipts of $. Write a system of equations that could be used to determine the number of pre-game tickets, P, and tickets sold at the gate, G? DO NOT SOLVE JUST WRITE THE SYSTEM. Timmy has marbles, some plain (P) and some colored (C). If there are more plain marbles than colored marbles, write a system of equations that could be used to determine the number of colored marbles. DO NOT SOLVE JUST WRITE THE EQUATIONS. The sum of two numbers is. One number is more than the other. WRITE a system of equations that could be used to find the numbers.. Solve. x y = x + y =. Solve. x x

12 Final Exam Review, Page of. Write the system of linear inequalities for the given graph?. The owner of a plant nursery knows that the color red will occur in a certain plant once out of every seedlings. If the nursery wants to have about red plants of this variety to sell, what equation could be used to determine the total number of seeds that should be planted? A. B. C. D. x x x x. Write the equation of each line with slope, and passes through (-,)

13 Final Exam Review, Page of. Write the equation of each line that passes through (-, -) and (,) The table below shows the life expectancy of people born in the US between and.. What is the independent variable? Year Life Expectancy (years) What is the dependent variable?. Write the equation for the line of best fit. r=. What is the slope of the line?. What is the y-intercept?. What will be the life expectancy of a person born in the year?. What is the solution to the system: x + y = -x + y = -

14 Final Exam Review, Page of. Which graph represents the solution to < x + < A. B. C. D Find the equation of the line that passes through (-, -) and (,) MATCH THE GRAPH TO THE EQUATION.. y = -x² A. B.. y = x². y = x² - C. D.. y = -x². y = -x² +. y = (x )² - E. F.. y = (x + )² -. y = x² G. H.. y = (x + )² +. y = -(x )² + I. J.

15 Final Exam Review, Page of. Two lines have the following equations: x + y = x + y = - At what point do they intersect?. Beth bought tickets to a movie, where adult tickets cost $. and senior citzen tickets cost $.. She spent a total of $. Write a system of equations that will determine the number of adult tickets, a, and the number of senior citzen tickets, s, Beth purchased? DO NOT SOLVE.. Solve x ( x ) = + ( x ). Find the vertex of the given equation to the nearest tenth. y = x² + x vertex. At which points does the graph of f(x) = x² + x + intersect the x-axis? (hint: roots). Which ordered pair represents one of the roots of the function? f(x) = x + x - A. ( -, ) B. ( -, ) C. ( -, ) D. (, )

16 Final Exam Review, Page of Write the name and the equation of each parent function. You may use your pink/blue sheet on the review, but you will not be able to use the blue/pink sheet on the final exam. You will have to recognize the parent functions on your own Function: Equation: Function: Equation: Function: Equation: Function: Equation: Function: Equation: Your final exam is questions. Each question on the exam is on this review sheet. You need to complete this review sheet and bring it the day of the exam for points bonus on the final exam. You must show work on every single problem. I will not give you the points if you do not have enough work shown. If you do not know how to show work on a problem then write a sentence telling me how you figured out the answer without showing any work. You will be allowed to use your calculator and the TAKS formula sheet on the final exam. You will not be able to use any other study aids (i.e. pink/blue sheet).