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Fall 2016 Semester Exam Review Name: Period: 1. List the following numbers in order from least to greatest. 5 2 3 − , −1.2, , |−4| , − 1 8 3 4 2. Circle each value that would be less than −1.7 9 − , 4 1 − , 2 −√3, 1 −1 , 4 −1.5, −2 3. Write the given value in scientific notation. 56,700,000 4. Which is the best name for this group of numbers? (8.2D) 81 −√ , 25 a. b. c. d. 3.247 × 102 , 450%, − 1 2 3 Integers Irrational Numbers Rational Numbers Terminating Decimals 5. A painter props a ladder against a house. The base of the ladder is 12 feet from the house. The top of the ladder is 16 feet from the ground. How long is the ladder? a. b. c. d. 10 feet 14 feet 20 feet 28 feet 6. The library is 10 kilometers south of Aaron’s home. The school is 10 kilometers east of Aaron’s home. How many kilometers, to the nearest tenth of a kilometer, is the library from the school? a. 10.2 kilometers b. 12.0 kilometers c. 14.1 kilometers d. 20.0 kilometers Fall 2016 Semester Exam Review Name: Period: 7. Determine the distance between (─3, 1) and (5, −6) by graphing and connecting the points, creating a right triangle, and applying the Pythagorean Theorem. 8. 9. Speedy Taxicab Company charges a base fee plus a cost per mile for a cab ride. The table below shows the number of miles driven and the total cost for each ride. Distance (miles) 3 7 10 15 18 Total Cost (dollars) $3.90 $5.10 $6.00 $7.50 $8.40 a. b. 10. Solve the following equation for x. Is this relationship proportional? Yes, it is proportional. No, it is not proportional. Fall 2016 Semester Exam Review Name: Period: 11. Solve the following equation for the value of x. 12. What value of x would make the expressions equivalent? 1 1 1 1 x x 1 1 = x x 1 x x x 1 1 1 13. Javier wants to buy a new video game that costs $62.00. Last week he saved $20 for the game. If he earns $9 per hour at his part-time job, which equation can be used to find the number of hours, h, Javier needs to work to have enough money to buy the video game? a. 9h = 62 c. 9h ─ 20 = 62 b. 20 ℎ = 62 d. 20 + 9h = 62 14. Melissa bought 3 loaves of freshly baked bread at a specialty bread shop. She paid twice as much for the whole grain bread as for the French bread, and $2.50 more for the cinnamon raisin bread than for the whole grain bread. She spent a total of $11.25 for the 3 loaves. If f represents the price of a loaf of French bread, which equation describes this situation? a. b. c. d. Fall 2016 Semester Exam Review Name: Period: 15. Which situation represents a proportional function? a. Melissa’s cell phone plan charges two cents a minute plus a $10 monthly fee. b. Sandra’s cell phone plan charges seven cents a minute. c. Holly’s cell phone plan charges five cents per minute. She also receives a $5 discount each month. d. Alicia’s cell phone plan charges six cents per minute plus a $5 monthly fee. 16. Which graph does NOT represent a function? a. b. 17. Which set of ordered pairs is NOT a function? a. {(-5,-1), (-3,-4), (2, 1), (3,-4)} b. {(1, 2), (2, 2), (3, 5), (5, 7)} c. {(-3, 4), (-2, 1), (-3, 2), (4, 9)} d. {(-9, 1), (-7, 1), (-3, 6), (6, 3)} 18. Which relation does NOT represent a function? a. b. c. d. 19. What is the unit rate of change for the linear function shown in the table? Fall 2016 Semester Exam Review Name: 20. Write an equation that represents the line shown on the graph. 21. What is the unit rate of change for the following graph? 22. Determine the y-intercept of the linear function shown on the graph below. Period: Fall 2016 Semester Exam Review Name: Period: 23. Casey and Allison are making bracelets to sell at a street fair. The number of bracelets they have completed at the end of each week are shown below. Time Worked (weeks) 5 6 8 9 Casey Total Bracelets Made 150 180 240 270 Allison Time Worked Total Bracelets (weeks) Made 3 160 7 360 10 510 12 610 a. Determine which table is proportional. Show your work. b. Write an equation to represent the total number of bracelets each girl has made.