Pre-Algebra Final Exam Review
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1 Pre-lgebra Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at? 2. The graph shows the relationship between the number of hours h ree has been hiking and the total distance d she has traveled, in kilometers. d h Which statement is true? a. The slope of the line is 8. b. The slope of the line is 12. c. To find the slope of the line, you could divide the total number of hours hiked by the total distance. d. To find the slope of the line, you could multiply the total number of hours hiked by the total distance. 3. For the line that passes through and has a slope of, you use the fact that the slope of a line is constant to derive the equation a. b. c. d.. What is an equivalent form of this equation?
2 4. arlita goes jogging, and her GPS collects the data for her distance over time. What would the rate of change for that data represent? a. arlita s distance from home b. arlita s starting point c. arlita s distance over time, or speed d. arlita s time since she left home 5. What equation could be written for this table? 6. What equation could be written for this table? 7. Which equation represents the values in the table? 8. Which equation is graphed?
3 9. The graph shows the relationship between a candle s height h, in centimeters, and time t, in hours, as the candle burns. What function models this relationship? Height (cm) 20 h a. b. c. d t Time (hours) 10. The graph shows the distance d, in miles, that Joe can drive his car using rate of change in this situation? gallons of gasoline. What is the istance (miles) 100 d g Gasoline (gallons) a. 20 miles per gallon of gasoline b. 25 miles per gallon of gasoline c. 30 miles per gallon of gasoline d. 35 miles per gallon of gasoline
4 11. The graph shows the relationship between the number of members in a club and the number of years after the club began. ased on the trend shown in this data, predict the year in which the club will have no members. Students Years 10 a. 1 year b. 3 years c. 6 years d. 8 years 12. lawn specialist measured the average temperature during different growing periods and the amount that the grass grew during each period. The scatter plot shows the results of his study. Use the data to predict the growth that would occur if the temperature were 55 F Grass growth (cm) verage temperature ( F) a. 14 centimeters c. 10 centimeters b. 5.6 centimeters d centimeters
5 13. The scatter plot shows the data for the number of hours Grace jogs each week for 8 weeks and the number of miles she jogs. What is the slope of a trend line for the data? istance (miles) Time spent jogging (hours) a. Positive b. Negative c. Zero d. There is no trend line for the data. 14. The scatter plot shows the relationship between the number of horses and the number of pigs on 7 farms. What is the slope of a trend line for the data? Pigs Horses a. Positive b. Negative c. Zero d. There is no trend line for the data.
6 15. Tracy earns a commission at the jewelry store where she works. The scatter plot shows the relationship between the time, in hours, Tracy works weekly and her weekly pay, in hundreds of dollars. The equation of the trend line is. pproximately how much does she earn per hour? 6 p Pay (hundreds of dollars) a. $0.12 b. $1.20 c. $8.33 d. $ t Time (hours) 16. The scatter plot shows the relationship between the amount of gasoline, in gallons, in a car s fuel tank and the distance traveled, in miles, after filling the tank. The equation of a trend line is. How much gas is in the car s fuel tank when it is full? g 20 mount of gasoline (gallons) a. 10 gallons b. 15 gallons c. 16 gallons d. 30 gallons d istance traveled (miles)
7 17. The scatter plot shows, for 11 bowlers, the number of strikes a bowler makes in a game and the number of points the bowler has. Use the equation of a trend line,, to estimate the number of strikes made by a bowler with 140 points. 280 p Points a. 4 b. 6 c. 25 d s Strikes 18. rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume? Use 3.14 for. 19. What is the volume of the cone with the given dimensions? Use 3.14 for tenth of a cubic inch.. Round your answer to the nearest 4.5 in in. a. b. c. d.
8 20. What is the surface area of the right rectangular prism shown in the figure? 5 m 7 m a. b. c. d. 9 m 21. escribe the difference between the two given transformations. Transformation 1: Transformation 2: a. The image in Transformation 1 has an area that is 4 times greater than the image in Transformation 2. b. The image in Transformation 2 moves the original triangle 4 units in each direction. c. ll but one of the vertices in the image of Transformation 1 is different from the original. d. The image in Transformation 2 has a perimeter that is 4 times greater than the perimeter of the image in Transformation triangle has coordinates,, and. If the triangle is reflected across the y-axis, what are the new coordinates of the triangle? 23. Shay graphs an octagon in the coordinate plane. She then applies the transformation to the octagon. Ned applies the transformation to Shay s original octagon. What is the difference in the images? a. The area of Ned s image is 4 times greater than the area of Shay s image. b. Shay s image is a distance of 4 units horizontally and vertically from Ned s image. c. Ned s image has side lengths that are 4 times as long as the side lengths of Shay s image. d. The perimeter of Shay s image is 4 times greater than the perimeter of Ned s image. 24. The ages, in years, of Sharice s family members are shown. What is the mean absolute deviation of the data set? 2, 5, 18, 20, 31, 45, 76, 54, 34, 82 a years b years c years d years
9 Pre-lgebra Final Exam Review nswer Section MULTIPLE HOIE 1. NS: PTS: 1 NT: NT.SS.MTH G.3 ST: TEKS.8.3. OK: OK 2 2. NS: PTS: 1 NT: NT.SS.MTH EE.5 ST: TEKS.8.5. KEY: proportional relationships OK: OK 1 3. NS: This equation indicates that the line s slope is 3 and its y-intercept is, neither of which is correct. This equation indicates that the line s slope is 3, which is not correct. This equation indicates that the line s y-intercept is, which is not correct. PTS: 1 NT: NT.SS.MTH EE.6 ST: TEKS.8.5. KEY: deriving an equation of a line OK: OK 1 4. NS: PTS: 1 NT: NT.SS.MTH F.4 ST: TEKS.8.5. OK: OK 1 5. NS: PTS: 1 NT: NT.SS.MTH F.4 ST: TEKS.8.5. OK: OK 1 6. NS: PTS: 1 NT: NT.SS.MTH F.4 ST: TEKS.8.5. OK: OK 1 7. NS: PTS: 1 NT: NT.SS.MTH F.4 ST: TEKS.8.5. OK: OK 1 8. NS: PTS: 1 NT: NT.SS.MTH F.4 ST: TEKS.8.5. OK: OK 2 9. NS: The line passes through the points and. The slope of the line is. The h-intercept is 18. So, the equation of the line is. The slope of the line is negative. 6 is not the h-intercept. The slope of the line is negative, and 6 is not the h-intercept.
10 PTS: 1 ST: TEKS.8.5. OK: OK NS: NT: NT.SS.MTH F.4 NT.SS.MTH.10.K-12.MP.4 KEY: constructing functions analyzing graphs The line includes the points and, so the slope of the line is. So, the rate of change is 25 miles per gallon of gasoline. To find the rate of change, determine the slope of the line. To find the rate of change, determine the slope of the line. To find the rate of change, determine the slope of the line. PTS: 1 NT: NT.SS.MTH F.4 NT.SS.MTH.10.K-12.MP.4 ST: TEKS.8.5. KEY: linear functions rate of change analyzing graphs OK: OK NS: PTS: 1 NT: NT.SS.MTH SP.2 ST: TEKS.8.5. OK: OK NS: PTS: 1 REF: 9e8bdd dd-8a f11039 OJ: Using a Scatter Plot to Make Predictions NT: NT.SS.MTH SP.2 ST: TEKS.8.5. TOP: Scatter Plots KEY: scatter plot data set prediction OK: OK NS: There appears to be a strong linear association between the number of hours Grace jogs each week and the number of miles she jogs. So, a trend line with a positive slope will follow the general trend of the data. onsider how the number of miles Grace jogged changes as the time spent jogging increases. onsider how the number of miles Grace jogged changes as the time spent jogging increases. onsider how the number of miles Grace jogged changes as the time spent jogging increases. PTS: 1 NT: NT.SS.MTH SP.2 ST: TEKS.8.5. KEY: scatter plot linear association trend line OK: OK NS: There is no association between the number of horses and the number of pigs on the farms, so there is no relationship between the two variables. So, a trend line should not be fit to the data. Look at the association between the number of horses and the number of pigs. Look at the association between the number of horses and the number of pigs. Look at the association between the number of horses and the number of pigs. PTS: 1 NT: NT.SS.MTH SP.2 ST: TEKS.8.5.
11 KEY: scatter plot no association OK: OK NS: The slope of the trend line is Since is in hundreds of dollars, Tracy earns about $12.00 per hour. Even though the slope of the trend line is 0.12, the amount Tracy earns per hour is not $0.12. Even though the slope of the trend line is 0.12, the amount Tracy earns per hour is not $1.20. The amount Tracy earns per hour is not the reciprocal of the trend line s slope. PTS: 1 NT: NT.SS.MTH SP.3 NT.SS.MTH.10.K-12.MP.4 ST: TEKS.8.5. KEY: scatter plot linear association trend line slope equation of line OK: OK NS: The g-intercept of the trend line represents the amount of gas in the car s fuel tank when it is full. The g-intercept is 16. So, there are 16 gallons of gasoline in the car s fuel tank when it is full. The trend line predicts 10 gallons of gasoline left in the car s fuel tank after driving 180 miles. The trend line predicts 15 gallons of gasoline left in the car s fuel tank after driving 30 miles. The car uses about 1 gallon of gasoline for every 30 miles traveled. PTS: 1 ST: TEKS.8.5. OK: OK NS: Substitute 140 for NT: NT.SS.MTH SP.3 NT.SS.MTH.10.K-12.MP.4 KEY: scatter plot linear association trend line intercept equation of line in the equation. bowler with 140 points is estimated to have made about 4 strikes. This is about the number of strikes made by a bowler with 190 points. This is the slope of the trend line. This is the -intercept of the trend line. PTS: 1 NT: NT.SS.MTH SP.3 NT.SS.MTH.10.K-12.MP.4 ST: TEKS.8.5. KEY: scatter plot linear association trend line predict values equation of line OK: OK NS: PTS: 1 NT: NT.SS.MTH G.9 ST: TEKS.8.6. KEY: volume OK: OK 2
12 19. NS: The volume of a cone is given by the formula, where is the base radius and is the height of the cone. The base radius of the cone is 1.75 in. The height of the cone is 4.5 in. So, the volume of the cone is about. on t forget to square the radius. on t forgot to include the factor of. You need to use the base radius of the cone, not the base diameter. PTS: 1 NT: NT.SS.MTH G.9 ST: TEKS.8.7. KEY: volume cone OK: OK NS: The formula for the surface area of a rectangular prism is, where is the length, is the width, and is the height. Thus, the surface area of the prism is. The prism has 6 faces, not just 3 faces. is the volume of the prism. This is the surface area of a cube with side length. PTS: 1 NT: NT.SS.MTH G.6 ST: TEKS.8.7. KEY: rectangular prism surface area OK: OK NS: PTS: 1 NT: NT.SS.MTH G.3 ST: TEKS OK: OK NS: PTS: 1 NT: NT.SS.MTH G.3 ST: TEKS OK: OK NS: PTS: 1 NT: NT.SS.MTH G.3 ST: TEKS OK: OK NS: First, find the mean of the data set.
13 So, the mean age is 36.7 years. So, the mean absolute deviation is years. heck the number of observations there are in the data set. This is the median of the data set. This is the mean of the data set. PTS: 1 NT: NT.SS.MTH SP.5.c NT.SS.MTH SP.2 ST: TEKS KEY: mean absolute deviation measure of spread summary of data OK: OK 1
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