Standardized Test Practice Name Date 1. Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes the equation y 5 8x to determine how much money she earns from candle sales. What does the independent variable represent in this situation? a. the number of scents b. the number of candles sold c. the cost of each candle d. the amount of visitors on the website 2. The table shows Adam’s age and shoe size. What is the correlation coefficient of the linear regression? Age 6 8 10 12 Shoe Size 3 4.5 5 7.5 3 a. 21.3 b. 0.7 c. 0.933 d. 0.966 3. What is the y-intercept for the equation 4x 2 3y 5 218? a. (0, 26) b. (0, 24.5) c. (0, 4.5) © 2012 Carnegie Learning d. (0, 6) 4. Student movie tickets cost $8.75. Adult movie tickets cost $10.25. Which function shows the total cost for s student tickets and a adult tickets? a. f(s) 5 8.75s 1 10.025 b. f(a) 5 8.75 1 10.025a c. f(s, a) 5 8.75a 1 10.25s d. f(s, a) 5 8.75s 1 10.25a Chapter 3 Assessments 8047_Assess_Ch03.indd 869 869 20/04/12 12:24 PM Standardized Test Practice page 2 5. Which shows the equation 12m 1 4n 5 480 in slope-intercept form? a. m 5 ________ 3 120 2 n n 1 40 b. m 5 2 __ 3 c. m 5 40 2 4n d. m 5 468 2 4n 6. The equation d 5 r t gives the distance d for rate r and time t. Which shows the equation correctly solved for time? a. t 5 __r d b. t 5 __ dr 3 c. t 5 dr d. t 5 d 2 r 7. A company used the function r(x) 5 5x 1 15,000 to predict the amount of revenue they will earn next year. The company also used the function c(x) 5 2x 2 2,000 to predict the amount they will spend in costs next year. Which function shows the amount of profit, p(x), the company predicts to earn after costs? a. p(x) 5 7x 1 13,000 b. p(x) 5 3x 1 13,000 c. p(x) 5 7x 1 17,000 d. p(x) 5 3x 1 17,000 8. Rewrite the function c(x) 5 9(x 1 3) using the Distributive Property. a. c(x) 5 9x 1 12 b. c(x) 5 9x 1 27 d. c(x) 5 3x 1 27 9. What is the x-intercept of the equation y 5 __ 1 x 1 6? 2 a. (212, 0) b. (23, 0) c. (0, 23) © 2012 Carnegie Learning c. c(x) 5 9x 1 93 d. (0, 212) 870 Chapter 3 Assessments 8047_Assess_Ch03.indd 870 20/04/12 12:24 PM Standardized Test Practice page 3 Name Date 10. At a local high school, a student ticket to a soccer game costs $5 and an adult ticket to a soccer game cost $10. For one soccer game, the amount earned on ticket sales was $1,430. Let x represent the number of student tickets sold and y represent the number of adult tickets sold. Determine the x- and y-intercepts. Which graph represents this situation? a. y b. y 400 Adult Tickets Adult Tickets 400 300 200 100 100 200 300 Student Tickets 400 x 0 y d. 200 300 Student Tickets 400 100 200 300 Student Tickets 400 300 200 300 200 100 100 100 200 300 Student Tickets 400 x 0 Chapter 3 Assessments 8047_Assess_Ch03.indd 871 x 400 Adult Tickets Adult Tickets © 2012 Carnegie Learning 100 y 400 0 200 100 0 c. 3 300 x 871 20/04/12 12:24 PM Standardized Test Practice page 4 11. A certain prescription medication costs $15 with MedPlus insurance and $75 with HealthPrime insurance. Last month, a pharmacy earned $5,850 selling this medication. If 220 prescriptions were filled for people who have MedPlus insurance, how many prescriptions were filled for people who have HealthPrime insurance? a. 34 b. 186 c. 254 d. 1082 12. The equation A 5 p r 2 gives the area A of a circle with radius r. Solve the function for radius. 2p a. r 5 ___ A 3 b. r 5 ___ A 2p __ √__ Ap c. r 5 √ __ d. r 5 __ p A 13. The table shows Savannah’s salary for different years. What is the linear regression equation? Year Salary ($) 2000 2001 2002 2003 40,000 42,000 46,000 44,500 a. y 5 39,625x 1 4375 b. y 5 4375x 1 39,625 c. y 5 1750x 1 40,500 1 14. Which shows the equation y 5 2 __ x 2 7 in standard form? 2 1 a. y 1 7 5 2 __ x 2 b. x 1 2y 5 214 c. 22y 2 14 5 x © 2012 Carnegie Learning d. y 5 40,500x 1 1750 d. x 2 2y 5 14 872 Chapter 3 Assessments 8047_Assess_Ch03.indd 872 20/04/12 12:24 PM Standardized Test Practice page 5 Name Date 15. Anna and Dave decide to go into business together selling lemonade during the summer. They each set up a stand outside their house. Anna sells her lemonade for $0.50 a cup and gives away two cups for free each week. Dave sells his lemonade for $0.75 a cup and gives away three cups for free each week. One week, Anna distributes twice as many cups of lemonade as Dave. Which function best represents the amount Dave and Anna earned together during this week? a. t(x) 5 __ 1 x 2 1 1 __ 3 x 2 2.25 2 4 7 b. t(x) 5 ___ x 2 3.25 12 3 c. t(x) 5 2(1.25x 2 3.25) d. t(x) 5 1.25x 2 3.25 16. Steve bought wrenches of different sizes. He spent $20 for each wrench for his toolbox. The expression y 5 20x shows how much he spent for the wrenches. What does the dependent variable represent in this situation? a. the number of sizes of wrenches b. the number of wrenches bought c. the number of wrenches in the toolbox d. the cost of the wrenches 17. The table shows the amount of accumulated snowfall during different months. What is the range of the data? Month © 2012 Carnegie Learning Accumulated Snowfall (inches) 1 2 3 4 5 6 15.03 18.12 9.84 3.51 1.93 0.02 a. 5 inches b. 15.01 inches c. 16.19 inches d. 18.1 inches Chapter 3 Assessments 8047_Assess_Ch03.indd 873 873 20/04/12 12:24 PM Standardized Test Practice page 6 18. The equation V 5 __ 4 p r 3 gives the volume V of a sphere with radius r. Which shows the equation 3 solved for the length of the radius? b. r 5 4V 3p a. r 5 3 ___ 3V 4p 3 ___ c. r 5 ___ 9V 4p d. r 5 ___ V 4p 19. The table shows the number of bacteria at different times during an experiment. Using a linear regression, about how many bacteria will there be after 24 hours? 3 Time (Hours) 3 6 9 12 Number of Bacteria 25 85 168 205 a. 35 b. 277 c. 469 d. 819 20. Which shows the equation 2x 2 8y 5 216 in slope-intercept form? a. y 5 __ 1 x 1 2 4 b. y 5 __ 1 x 2 2 4 d. y 5 24x 2 2 874 © 2012 Carnegie Learning c. y 5 24x 1 2 Chapter 3 Assessments 8047_Assess_Ch03.indd 874 20/04/12 12:24 PM
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