Preferred Superhero Gender Wonder Hulk Spider- Deadpool Total

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1 1. What is the 5-number summary of the following data set? 12, 4, 8, 11, 6, 2, 7, 6, 3, 3 Min = 3, Q1 = 4, Med = 6, Q3 = 8, Max = 11 Min = 2, Q1 = 4, Med = 8, Q3 = 11, Max = 12 Min = 2, Q1 = 3, Med = 6, Q3 = 8, Max = 12 Min = 12, Q1 = 8, Med = 6, Q3 = 6, Max = 3 2. What is the IQR for the data set above? To the nearest hundredth, what is the population standard deviation for the data set above? What is the row conditional relative frequency of males who prefer Wonder Woman? Preferred Superhero Gender Wonder Hulk Spider- eadpool Total Woman Man Female Male Total /160 = /88 = /20 = Solve the equation 4 + 2xx 2 = 2 (4xx 1)

2 6. Represent the statement: three more than four times a number is twelve. (3 + 4)xx = 12 4xx + 3 = 12 4(xx + 3) = 12 3xx + 4 = Solve the inequality 2 xx 1 < 4. xx < 3 xx < 1 oooo xx < 3 xx > 1 aaaaaa xx < 3 xx > 1 3xx 2yy = 6 8. Solve the system: yy = 4xx + 2 Infinitely many solutions (2, 6) No solution ( 2, 6) 9. What two properties are used in the solution of the following equation? 7bb + 2 = 12 7bb = 14 bb = 2 Subtraction Property of Equality and ivision Property of Equality ddition Property of Equality and ivision Property of Equality Multiplication Property of Equality and istributive Property Subtraction Property of Equality and Zero Product Property 10. You want to model the pressure of water on a given area of a submarine. Which units would be appropriate for measuring this quantity? pounds per inch grams per cubic centimeter pounds per square inch square meters per liter 11. You want to model the value of gold over time. Which units would be appropriate for measuring this quantity? months dollars ounces miles 2

3 12. Maria buys lunch every work day. She always eats at the same restaurant and spends no more than $ 5.50 for lunch. She has created a budget in which she has allowed herself $1550 for the year to buy lunches during her five-day work week. ssume Maria spends the maximum she allows for each lunch. Write an equation to determine how much of her budget, in dollars, remains unspent at the end of a particular week of the year? = n = n = 5.5n 1550 = 27.5n Which is the graph of 5h + 3 7? 14. Evaluate gg(xx) = xx when xx = The function (d) = 0.45d models the amount, in dollars, that Terry s company pays him based on the round-trip distance d, in miles, that Terry travels to a job site. How much does Terry s pay increase for every mile of travel? $0.45 $ $ $

4 16. Rita reads a book at a steady pace. Rita graphs her progress through the book by putting the time in hours t on the horizontal axis and chapters remaining on the vertical axis. Which equation describes Rita s graph? = 3tt + 24 = 3tt 24 = 24tt + 3 = 24tt Which equation describes the line with slope 5 that contains the point (2, 8)? y = 5x 22 y = 5x 2 y = 5x + 4 y = 5x The population of a city rises from 100,000 to 226,000 over a ten-year period. Using the points (0, 100,000) and (10, 226,000), find the average rate of change (slope) in people per year people per year 12,600 people per year people per year 2.29 people per year 19. The linear equation cc = 6.5nn models cost c, in dollars, to produce n toys at a toy factory. What is the c-intercept, and what does it mean in this context? The c-intercept is 6.5. The cost increases by $6.50 for each toy produced. The c-intercept is 6.5. The number of toys produced increases by about 6.5 for each $1 increase in cost. The c-intercept is It costs $1500 to run the factory if no toys are produced. The c-intercept is The factory can produce 1500 toys at no cost. 4

5 20. If a linear equation is written that models the weekly gas cost, in dollars, as a function of the length of a daily commute, in miles, what will the slope represent? The slope will measure the rate of change of the weekly gas cost per mile of the daily commute. The slope will measure the rate of change of the length of the daily commute per dollar of the weekly gas cost. The slope will give the weekly gas cost for a daily commute of 0 miles. The slope will give the daily commute for a weekly gas cost of $ Which system can be solved with the elimination method by using addition? 10xx + 6yy = 1 5xx 4yy = 1 4xx 6yy = 5 xx + 4yy = 12 10xx 6yy = 5 10xx + 4yy = 12 10xx 6yy = 5 xx + 4yy = Julio wants to solve the system shown using the elimination method. Which is the best way to begin? x 7y = 11 3x + 9y = 6 Multiply each term in xx 7yy = 11 by 3 and add it to the other original equation. This system of equations has no solution, so Julio should not do anything. dd the equations. Multiply each term in xx 7yy = 11 by 3 and add it to the other original equation. 23. Kya wants to solve the system shown using the elimination method. Which is the most direct way for her to begin? 7x + 5y = 4 8x + 5y = 12 dd the equations to eliminate y. Multiply each term in 7xx + 5yy = 4 by 8 and multiply each term in 8xx + 5yy = 12 by 7. Subtract the equations to eliminate y. It does not matter what Kya does first because this system of equations has no solution. 24. Rachel wants to eliminate the variable x to solve the system shown. What does she need to do before combining the equations? 2x + 11y = 1 7x + 12y = 8 Multiply each term in 2x + 11y = 1 by 7 and multiply each term in 7x + 12y = 8 by 2. dd the equations to eliminate y. ivide the first equation by 2. Subtract the equations to eliminate y. 5

6 25. Which system of equations cannot be readily solved by the substitution method? x 12y = 5 x + 5y = 11 5x 12y = 11 5x + 11y = 11 11x + 12y = 5 5x y = 11 x + 12y = 11 5x 5y = Mr. Frankel bought 9 tickets to a puppet show and spent $55. He bought a combination of child tickets for $3 each and adult tickets for $10 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought? a = c 10 10a + 3c = 55 10a + 3c = 55 a + c = 9 a + c = 495 a + c = 9 3a + 3c = 64 a + c = Lena made 42 ounces of a fruit drink mix using pineapple juice and grapefruit juice. The number of ounces of pineapple juice in the fruit drink mix is 6 less than 3 times the number of ounces of grapefruit juice in the fruit drink mix. Which system of equations should be used to solve the problem? 6x + 3y = 42 x 6 = 3y 6x + 3y = 42 x + 6 = 3y x + y = 42 x + 6 = 3y x + y = 42 x 6 = 3y 28. Which problem could be solved using the inequality 5n < 55? Five students split a restaurant bill that came to $55. Five equal-priced shirts came to under $55. Marty earned $55 for 5 hours of work. The product of 5 and a number is equal to 55. 6

7 Use the following information for questions The scores for a quiz are shown below. 29. onstruct a box plot for the following data set. S-I..1 Quiz 1: alculate the IQR for Quiz 1: S-I..2 Quiz 1: 31. Using a calculator, find the population standard deviation of Quiz 1 to the nearest tenth.s-i For his survey, Liam recorded candy bar preferences and the class of each student. Partial results are shown in a two-way frequency table for Liam s data. omplete the table. S-I..5 Preferred andy ar class Snickers Milky Way Reese s Peanut Total Freshmen Sophomores Total onstruct a two-way relative frequency table for Liam s data. Write answers as decimals rounded to 3 places. Preferred andy ar class Snickers Milky Way Reese s Peanut Total Freshmen Sophomores Total 34. Graph each Line: yy = 2 3 xx 6 yy = 3 xx = 2 7

8 35. What are the x and y intercepts of 3xx + 2yy = 12? 36. Find the slope of the line shown. 37. Find the slope of the line containing the points (-3, -2) (10, -5) 38. Write an algebraic representation of this statement and solve it: Three more than 5 times a number is You are dropping your science project titled "Protect the Egg" and to make sure no one gets egg on them you want them to stand outside the splash radius of the egg. The target is 15 feet to your right and the egg splash radious is 18 feet. Which absolute value inequaity represents all of the places someone in your class could stand, left or right of your curent positon, without getting egg on them? 8