Linear Functions Review

Transcription

1 Name: Period: Date: 1. Which of the following graphs does not represent as a function of? 2. Kelly will enclose her rectangular tomato garden with 32 feet of fencing material. She wants the length of the garden to be at least three times the width. What is the minimum length that will meet Kelly s conditions? Office of Academics and Transformation Page 1 of 16

2 3. Which of the following are the domain and range for the graph shown below? 4. Which situation is best represented by the function, where? An office-supply store sells boxes of ballpoint pens that contain a dozen pens per box for each. An Olympic swimmer trains by swimming 12 kilometers on each of weekdays and 5 kilometers on each day of the weekend. An algebra quiz has problems worth 12 points each plus 5 extra-credit problems worth 5 points each. A company sells baseball caps for each and charges a shipping fee. 5. Simplify the algebraic expression Office of Academics and Transformation Page 2 of 16

3 6. What is the equation of the line that passes through the points (2, 5) and 7. Mr. Czar wants to order some candy bars for the math team s annual fund-raiser. The graph below shows the total cost for an order of fewer than 5 boxes of candy bars, including the standard fee for shipping and handling. Based on the graph, which of the following best describes this situation? Each box of candy bars costs $36. Each box of candy bars costs $20. Each box of candy bars costs $16. Each box of candy bars costs $ Which of the following is the solution to the equation? Office of Academics and Transformation Page 3 of 16

4 9. Which of the following best represents the solution to the system of linear equations shown below? 10. A waitress at a local restaurant earns $3.25 per hour plus tips. In two weeks she earned a total of $720, including $ in tips. How many hours did the waitress work during this 2-week period? Office of Academics and Transformation Page 4 of 16

5 11. Some employees of Ace Corporation left their office building and drove separately on the same road to a convention. The graph shows the distance traveled by each employee after 5 hours of nonstop driving at 4 different speeds. Which employee drove at the slowest rate to the convention? Mr. Able Ms. Ruiz Ms. Woo Mr. Hill 12. Find the points at which the graph of the equation crosses the and the and and and and 13. Which is the solution to this pair of linear equations? Office of Academics and Transformation Page 5 of 16

6 14. A theater owner graphed the number of tickets sold versus the price of a ticket. Which statement best describes her findings? With a higher ticket price, she sold more tickets. With a lower ticket price, she sold more tickets. With a lower ticket price, she sold fewer tickets. Regardless of ticket price, the number of tickets sold remained the same. 15. The members of a school math club want to buy shirts that have the club s logo on them. Each shirt costs $11. In addition, there are 2 one-time fees: a fee of $77 to design the logo and a fee of $1.50 per letter used in the logo. If the math club s logo contains 22 letters, which equation can be used to find, the total amount the math club will pay for shirts? 16. What is the equation of the line that passes through and has a slope of zero? 17. A car rental agency charges a fee of $25 per day to rent a compact car plus $0.15 per mile driven. If the car is driven miles in 1 day, the equation can be used to find the total charges for a 1-day compact-car rental. If the rental agency reduces the fee for renting a compact car by and increases the rate per mile driven by $0.05, which equation can be used to determine the new cost of renting a compact car for 1 day and driving miles? Office of Academics and Transformation Page 6 of 16

7 18. Nancy plans to take her cousins to an amusement park. She has a total of $100 to pay for 2 different charges. $5 admission per person $3 per ticket for rides Which inequality could Nancy use to determine, the number of tickets for rides she can buy if she pays the admission for herself and cousins? 19. The graph below shows the distance and time of Roberto s car trip. What does the slope of the line mean? Roberto traveled mi/h. Roberto traveled for 5 h. Roberto traveled 60 mi/h. Roberto traveled 300 mi. 20. Which relation is NOT a function? 21. Ida has a budget of $25 to spend on flowers. A package of flowers costs $1.99, and a hanging basket of flowers costs $5.10. Both prices include tax. Which inequality can be used to determine, the number of packages of flowers she can buy if she also buys a hanging basket of flowers? Office of Academics and Transformation Page 7 of 16

8 22. Which graph represents the solution set of? 23. Which of the sentences below does the following function rule represent? the temperature of metal after minutes of being heated in an oven as it increases in temperature by 15 C per minute from a starting temperature of 750 C the value of an investment decreases by 15% for each of years from an initial value of $750,000 the height of an elevator after seconds; the initial height of the elevator is 750 meters and the elevator is ascending at a rate of 15 meters per second the height of a mountain climber after minutes; the climber starts at a height of 750 meters and descends at a rate of 15 meters per minute 24. The table below contains data for the growth of a plant over several weeks. What equation can be used to estimate the plant s height in 10 weeks? Weeks Height (cm) Jeremy is hosting a Halloween party for 80 children. He will give each child at least one candy bar. If each bag of candy contains 18 candy bars, which inequality can be used to determine how many bags,, Jeremy will need to buy? Office of Academics and Transformation Page 8 of 16

9 26. What is the equation of the inequality shown below? 27. Line segment is graphed on the coordinate grid. Which of the following best represents the slope of a line perpendicular to segment JK? Office of Academics and Transformation Page 9 of 16

10 28. Which line has an undefined slope? 29. A waitress at a local restaurant earns $3.25 per hour plus tips. In two weeks she earned a total of $720, including $ in tips. How many hours did the waitress work during this 2-week period? 30. The cost of renting a car for 1 day at Cars Plus is $20 plus 10 cents per mile driven. The cost of renting a car for 1 day at Need-A-Car is $20 plus 15 cents per mile driven. In a graph of the cost of a car rental, what does the cost per mile driven represent? The x-intercept The y-intercept The slope The point of intersection 31. A card shop sells wrapping paper for $5 per roll and $3 for flat wrap. In one week the shop sold 80 packages of wrapping for $300. How many rolls of wrapping paper were sold? Office of Academics and Transformation Page 10 of 16

11 32. A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality can be used to find all possible values of t, the time it will take this family to reach Dallas in hours, if they travel at an average speed of at least r miles per hour? What does the slope of the graph represent? The number of hours of work it takes to earn $320 The amount of money earned per hour The amount earned for 40 hours of work The number of hours worked per dollar earned 33. Which is NOT true about the data in the table? The domain is {5, 10, 20, 35, 40}. The range is {0.25, 0.5, 1, 1.75, 2}. The independent variable is distance. The relationship is a function. Office of Academics and Transformation Page 11 of 16

12 34. An architect is designing an office building with floors that will have an FM radio antenna meters (m) tall on its roof. Each floor of the building will be 3.9 meters (m) high. Which function can be used to find the total height of the building in meters, including the FM antenna? 35. What is the equation of the line that passes through the point and is parallel to the graph of the equation? 36. What is the range of the function shown below? 37. A student borrowed $2000 from his parents y to buy a car. The student is paying back his parents $50 per week. Which of the following equations represents the relationship between, the number of weeks the student has been paying back his parents, and, the amount of money left to pay back? Office of Academics and Transformation Page 12 of 16

13 38. What are the y-intercept and the slope of the graph of the following equation? 39. What is the solution of the proportion? 40. Which of the following graphs represents the solution of the inequality below? 41. Felicia wants to buy uniforms for her softball team. She can spend up to $600, and each uniform costs $85.Which inequality represents the number of uniforms u she can buy? Office of Academics and Transformation Page 13 of 16

14 42. Which of the following best represents the graph of the inequality? 43. What is the solution to the equation below? Office of Academics and Transformation Page 14 of 16

15 44. What is the equation of the line? 45. What is the graph of the equation -? Office of Academics and Transformation Page 15 of 16

16 46. What equation do you get when you solve for? 47. Which graph models the table below? Office of Academics and Transformation Page 16 of 16