Name: ____________________________________ 1. Look at each linear equation representation below. Does it have a negative slope? Select Yes or No for options A – D. A. The line represented by x + y = 2. Yes No B. The line represented by x – y = 2. Yes No C. The line represented by -x + y = 2. Yes No D. The line represented by -x – y = 2. Yes No 5. Solve for x: 2(x + 1) = 3(4 − x) 1. −4 3. −2 2. 2 4. 4 6. Function 1: Nick puts $10 into his lunch money account on Monday and spends $2.00 each day until his balance reaches $0. Function 2: Nick has an overdue book. The library charges him an initial fee of $2.00 and then $.25 each additional day he does not return the book. Let y be the amount Nick owes as a function of the number of days late, x. 2. Point M is the largest integer less than and Point N is the smallest integer greater than . What is the distance between Point M and Point N? 1. – 2. 11 3. 4. 13 3. For one week, Sierra is going to walk half as far each day as she did the day before. On Monday, Sierra will walk eight miles. On Tuesday, she will walk four miles. On Wednesday, she will walk two miles, and so on. Which best describes Sierra’s walking plan as a function comparing the day to the distance she walked? 1. Nonlinear function because her distance decreases by a smaller amount each day. 2. Linear function because she walks a determined distance each day. 3. Nonlinear function because she may not walk in a straight line. 4. Linear function because she walks at the same speed each day. 4. Find 91. Answer: Which statement is true? 1. 2. 3. 4. Function 1 has a positive rate of change. Function 2 has a positive rate of change. Both functions have a positive rate of change. Neither function has a positive rate of change. 7. The formula for the area of a circle is A = πr2. Find the area of a circle with a radius of 12 inches. Use the π key on your calculator and round your answer to the nearest square inch. Answer: square inches 8. Cody has a 10-minute bus ride to school. The graph below shows the relationship between the speed of the bus in miles per hour versus the time it takes Cody to arrive at school. 9. Solve for x: 4(2x − 1) = 2x + 35 1. 3.9 3. 6 2. 6.5 4. 39 10. What is the next term in the input/output table? Choose the most accurate description of Cody’s ride to school. 1. 26 3. 8 2. 12 4. 6 1. After Cody gets on the bus, its speed increases. Then it stops for a couple of minutes to pick up more students. The bus speeds up again before picking up more students. The bus stops at a stop sign and then speeds up once more until it picks up one last group of students before it arrives at school. 2. After Cody gets on the bus, its speed increases to 20 mph for a couple of minutes. Then it increases to 30 mph for a couple of minutes. The bus then stops to pick up some more students. After again reaching a speed of 20 mph for a couple of minutes, the school bus arrives at school. 3. After Cody gets on the bus, it climbs a steep hill. Then it levels off for a couple of miles before going up another hill. The bus continues driving at the top of the hill for a couple of minutes before going down a very steep hill. The bus then immediately climbs another steep hill that levels off for a couple of minutes before going back down a hill to arrive at school. 4. After Cody gets on the bus, the speed of the bus quickly reaches 20 mph before stopping. After the first stop, the bus gradually speeds up to 30 mph. Then it stops again. The bus then slows down to 0 mph before speeding back up to 20 mph right before stopping one more time. Finally, it arrives at school. 11. Look at each linear relation represented below. Identify which choices show an undefined slope? Select Yes or No for options A – D. A. The line represented by x = 2 Yes No B. The line represented by y = 2 Yes No C. Yes No D. The line that connects the points (-3, 4) and (-3, 1) Yes No 12. ΔABC is translated so that the coordinates of B′ are (5, 4). What are the coordinates of C′? 1. (3, 1) 3. (7, 2) 2. (7, 3) 4. (2, 5) 13. If triangle GMK is similar to triangle DRS, which pair of angles are congruent? 1. 2. 3. 4. 14. Jordan got a new water bottle to use for soccer. Approximately how much water can Jordan fit in the water bottle? 1. 1,728 cm3 3. 1,356 cm3 2. 5,429 cm3 4. 21,703 cm3 15. The square root of 221 falls between which two consecutive integers? 1. 14 and 15 3. 16 and 17 2. 15 and 16 4. 17 and 18 16. Which table represents a nonlinear function? 1. 19. Choose the correct description of the relation below: 3. 2. 4. 17. Given: the distance traveled by a car is d = 500 feet. Find its velocity, v, in feet per second if the car traveled for t = 10 seconds at a constant acceleration of a = 2 feet per second2. Hint: Use the formula d = vt + at2 Answer: v = feet/second 18. Two of the sides of a rectangle have a length of 5 units. The points (4, 0) and (4, 4) are adjacent vertices of a rectangle. To the nearest tenth, what is the length of a diagonal of the rectangle? 1. 3.0 units 3. 7.2 units 2. 6.4 units 4. 9.0 units 1. 2. 3. 4. Linear; Function Nonlinear; Function Linear; Non-Function Nonlinear; Non-Function 20. Find f(50) for the function f(x) = x 2. f(50) = Figure 1 Two parallel lines are cut by a transversal, forming eight angles as shown in the diagram. 21. [Refer to figure 1] ∠ 1 and ∠ are alternate exterior angles. The angle marked as 150° and ∠ are alternate exterior angles. 22. Parallel lines l and m are cut by transversals s and t to form the diagram below. What is the value of x? 1. 58° 3. 96° 2. 64° 4. 116° 23. The rectangle below was dilated by a scale factor of . After the dilation, what is the perimeter of R′S′T′U′? 1. 60 units 3. 15 units 2. 30 units 4. 10 units Answer Key for Spiral 9 1. Yes, No, No, Yes 9. 2 17. 40 2. 2 10. 3 18. 2 3. 1 11. Yes, No, Yes, Yes 19. 2 4. 9 12. 3 20. 2500 5. 2 13. 1 21. 8, 7 6. 2 14. 2 22. 3 7. 452 15. 1 23. 4 8. 2 16. 4
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