2. Tell which graph corresponds to person 1 in Table 1-9.2b above.

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1 1. An architect charges $1800 for a first draft of a three-bedroom house. If the work takes longer than 8 hours, the architect charges $105 for each additional hour. What would be the total cost for a first draft that took 14 hours to complete? The table gives the speeds in miles per hour of four people moving through a neighborhood at given times. 2:45 2:50 2:55 3:00 3:05 Person Person Person Person Table 1-9.2b In no particular order, the following graphs represent the people in the table. Graph 1 Graph 2 Graph 3 Graph 4 Person's speed Person's speed Person's speed Person's speed Time Time Time Time 2. Tell which graph corresponds to person 1 in Table 1-9.2b above. 3. If an average grape weighs 4.31 grams and a company purchases 10,000,000 grapes, how much will the grape shipment weigh in kilograms? Write the answer in scientific notation.

2 4. Solve the following inequality < 3 5. Consider the data set below. 12, 21, 5, 14, 10, 3, 20 Make a box-and-whisker plots below to represent this data set. 6. A travel agency surveys its customers to find out the average cost of a vacation compared to the miles traveled during the vacation. The results of the survey are shown in the table below. Miles Traveled Vacation Cost 467 $ $ $ $ $215 Draw a scatter plot that represents the values in the table above.

3 7. Dinosaurs once roamed the earth and were of different lengths. For example, the Velociraptor dinosaur was an average of 6 feet in length. This is 171.4% of the average length of one Heterodontosaurus dinosaur. What was the average length of the Heterodontosaurus dinosaur? 8. A spinner is divided into three sections; red, blue, and green. The red section is 1 section is 5 of the area of the spinner. Give the probability for each outcome. 1 2 of the area of the spinner. The blue 9. Solve. Then graph the solution set on a number line. N + 3-2n > What is the probability that the total shown on two dice is greater than or equal to 8? 11. Give two ways to write the algebraic expression p 10 in words. 12. Julia wrote 14 letters to friends each month for y months in a row. Write an expression to show how many total letters Julia wrote. 13. Subtract. 5 ( 8) 14.The elevator in the a downtown skyscraper goes from the top floor down to the lowest level of the underground parking garage. If the building is 470 feet tall and the elevator descends 530 feet from top to bottom, how far underground does the parking garage go?

4 15. Divide 16. Divide Carina hiked at Yosemite National Park for 1.75 hours. Her average speed was 3.5 mi/h. How many miles did she hike? 18. Write the power represented by the geometric model. Figure not drawn to scale 19. Simplify. 20. Simplify. 21. Simplify.

5 22. Suppose you have developed a scale that indicates the brightness of sunlight. Each category in the table is 6 times brighter than the next lower category. For example, a day that is dazzling is 6 times brighter than a day that is radiant. How many times brighter is a dazzling day than an illuminated day? Sunlight Intensity Category Brightness Dim 2 Illuminated 3 Radiant 4 Dazzling If the population of an ant hill doubles every 10 days and there are currently 40 ants living in the ant hill, what will the ant hill population be in 20 days? 24. The design shows the layout of a vegetable garden and the surrounding path. The path is 1.5 feet wide. First, find the total area of the vegetable garden and path. Then, find the area of the vegetable garden and the area of the path. If one bag of gravel covers 10 square feet, how many bags of gravel are needed to cover the path? 12 ft 12 ft 25. The area of a square garden is 202 square feet. Estimate the side length of the garden.

6 26. Write all classifications that apply to the real number. 27. Simplify. 28. Evaluate 1 + x 2 6 for x = Simplify the expression. 30. Use the numbers 2, 3, 5, and 8 to write an expression that has a value of -1. You may use any operations, and you must use each of the numbers at least once. 31. Simplify the expression. 32. Simplify by combining like terms.

7 33. Fill in the missing justifications. Procedure Justification Definition of subtraction??? Simplify Definition of subtraction 34. A phone company advertises a new plan in which the customer pays a fixed amount of $25 per month for unlimited calls in the country, and $0.10 per minute for international calls. Find a rule for the monthly payment a customer pays according to the new plan. Write ordered pairs for the monthly payment when the customer uses 90, 120, 145, and 150 international minutes in a month. 35. Solve. 36. Solve 3n = Solve. 38. The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided by 5. Suppose you are 17 miles from a lightning strike. Write and solve an equation to find how many seconds there would be between the flash and thunder.

8 39. Solve. 40. Solve. 41. The formula gives the profit p when a number of items n are each sold at a cost c and expenses e are subtracted. If,, and, what is the value of c? 42. Solve. 43. Solve. Tell whether the equation has infinitely many solutions or no solutions. 44. A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company? 45. The formula for the resistance of a conductor with voltage V and current I is. Solve for V. 46. An architect built a scale model of a shopping mall. On the model, a circular fountain is 20 inches tall and 22.5 inches in diameter. If the actual fountain is to be 8 feet tall, what is its diameter?

9 47. On a sunny day, a 5-foot red kangaroo casts a shadow that is 7 feet long. The shadow of a nearby eucalyptus tree is 35 feet long. Write and solve a proportion to find the height of the tree. 48. A right triangle has legs 15 inches and 12 inches. Every dimension is multiplied by to form a new right triangle with legs 5 inches and 4 inches. How is the ratio of the areas related to the ratio of corresponding sides? 49. Aaron works part time as a salesperson for an electronics store. He earns $6.75 per hour plus a percent commission on all of his sales. Last week Aaron worked 17 hours and earned a gross income of $ Find Aaron s percent commission if his total sales for the week were $3,350. If necessary, round your answer to the nearest hundredth of a percent. 50. After 6 months the simple interest earned annually on an investment of $8000 was $975. Find the interest rate to the nearest tenth of a percent. 51. Find the percent change from 24 to 72. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent. 52. Find the result when 28 is decreased by 25%.

10 53. Complete each table of ordered pairs. Graph each equation on a coordinate plane. y = 3x + 7 x 3x + 7 y (x, y) y x 54. Solve and graph the inequality 3x > Simplify 7(8a 4) + 2a. The table gives the speeds of four horses in miles per hour at given times. Tell which horse corresponds to each situation described below. Time 5:59 6:00 6:01 6:02 6:03 Horse Horse Horse Horse Table 1-9.1a 56. Luke s horse enters the arena slowly, stops in the center and nods his head to the guests in the grandstand, trots for 1 full lap, pauses for the judge s inspection, and then quickly exits the showing area to return to his trailer for oats. Which horse in Table 1-9.1a is Luke s?

11 57. Multiply. Write the product as one power. 58. Simplify 59. A box of rotini noodles contains 10 servings. If you eat complete meals can you get from one box? 7 8 of the recommended serving as a meal, how many 60. A blimp is fully expanded when it contains 35,000 cubic feet of gas. If a blimp is inflated with 2,000 cubic feet of gas, this represents what percent of its total volume? is 21% of what number? 62. A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 36% chance of drawing an orange marble and a 20% chance of drawing a white marble. Give the probability for each outcome. 63. While waiting for the school bus, Bruce records the colors of all vehicles passing through the intersection. Below is the information that Bruce collected. Car color White Yellow Black Blue Number of cars Estimate the probability that the next car through the intersection will be white.

Unit 1 Study Guide [MGSE9-12.N.Q.1-3, MGSE9-12.A.CED.1]

Name: Class: Date: Unit 1 Study Guide [MGSE9-12.N.Q.1-3, MGSE9-12.A.CED.1] Matching a. algebraic expression f. variable b. numerical expression g. constant c. like terms h. solution of an equation d. absolute