1. A pattern of numbers is determined by the rule shown below. To find y multiply x by 2. Then add 3. Which of these graphs represents this pattern?
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1 1. A pattern of numbers is determined by the rule shown below. To find y multiply x by 2. Then add 3. Which of these graphs represents this pattern? A. B. C. D.
2 2. Which graph best represents the line containing the point (2, 2) and having a slope of 3? A. B. C. D.
3 3. Which choice is the graph of the equation for a line with a slope of 2 and a y-intercept of 4? A. B. C. D.
4 4. Which of these graphs correctly represents the equation y = 1 2 x + 3? A. B. C. D.
5 5. Which is the apparent graph of y = 2 3 x 4? A. B. C. D.
6 6. Which of the following is the graph of the equation below? y = 1 2 x + 10 A. B. C. D.
7 7. Compare the scenarios to determine which represents a greater speed. Include a description of each scenario including the unit rates in your explanation. Scenario 1 Scenario 2 y = 50x x is time in hours y is distance in miles
8 8. Compare the two linear functions listed below and determine which equation represents a greater rate of change (slope of the line or the coefficient of x). Function 1: Function 2: The function whose input x and output y are related by: y = 3x + 7
9 9. The table shows the relationship between the number of hours, h, John has been hiking and the total distance, d, he has traveled in kilometers. John h d The graph shows the distance Sara hiked over the same time period. Who hikes faster? A. Sara B. John C. They hike at the same rate D. There is not enough information to determine
10 10. Rain is flowing into two containers at different rates. The figure below shows the volume of water in each container at different times. Minutes Container 2 Gallons What is the difference in the rate of change between the two containers? A. 1 5 gallon per minute B. 3 5 gallon per minute C. 5 2 gallon per minute D gallon per minute
11 11. Alicia and Melissa did jumping jacks. The table below shows the number of jumping jacks that Alicia had done in different amounts of time. Alicia Time (minutes) Jumping Jacks The graph below shows the number of jumping jacks Melissa had done in different amounts of time. Which choice best describes the difference between the rates at which the girls did jumping jacks? A. Melissa did 6 more jumping jacks per minute than Alicia. B. Alicia did 6 more jumping jacks per minute than Melissa. C. Melissa did 5 more jumping jacks per minute than Alicia. D. Alicia did 5 more jumping jacks per minute than Melissa.
12 12. Use the two functions below to answer the question. Function A y = 1 4 x 2 3 Function B x y Which statement about the slopes of the functions is true? A. The slopes of both functions are negative. B. The slopes of both functions are positive. C. The slope of function A is negative and the slope of function B is positive. D. The slope of function A is positive and the slope of function B is negative.
13 13. Use the two functions below to answer the question. Function A x y Function B y = 3x + 9 Which comparison of function A and function B is correct? A. Function A and function B have the same y-intercept and the same slope. B. Function A and function B have different slopes and different y-intercepts. C. Function A and function B have the same y-intercept, but have different slopes. D. Function A and function B have the same slope, but have different y-intercepts.
14 14. Use the table and the equation below to answer the question. Line A: x y Line B: 5y 5x = 25 Which statement correctly compares lines A and B? A. The x-intercept of line A is less than the x-intercept of line B. B. The y-intercept of line A is less than the y-intercept of line B. C. The y-intercept of line A is opposite the y-intercept of line B. D. The x-intercept of line A is opposite the x-intercept of line B.
15 15. The total cost in dollars, y, of a membership at each of four health clubs is represented below in terms of x, the number of months of the membership. Health Club A: y = 12x + 60 Health Club B: x y 0 $ 0 1 $21 2 $42 3 $63 4 $84 Health Club C: Health Club D: A customer pays a one-time fee of $20 plus $20 each month for x months. Which representation has the greatest rate of change? A. Health Club A B. Health Club B C. Health Club C D. Health Club D
16 16. The graph and table below show information about two landscaping companies. Landscaping Company B Time Spent Mowing (hours) Gas in Lawn Mowers (gallons) Which statement about the two landscaping companies is true? A. Landscaping company A mows for 20 more hours than landscaping company B. B. Landscaping company B mows for 20 more hours than landscaping company A. C. Landscaping company A uses 0.25 of a gallon more gasoline per hour than landscaping company B. D. Landscaping company B uses 0.25 of a gallon more gasoline per hour than landscaping company A.
17 17. Emily works two jobs, one as a secretary and one as a waitress. The table represents the amount of money Emily makes as a secretary. Secretary Earnings Time Worked (hours) Money Earned (dollars) 5 $125 6 $150 7 $175 8 $200 9 $ $250 The graph below represents the amount of money Emily makes as a waitress. Waitress Earnings Which statement is true? A. Emily makes more money per hour working as a secretary. B. Emily makes more money per hour working as a waitress. C. Emily makes the same amount of money per hour working as a waitress or a secretary. D. Emily makes more money as a waitress the first 5 hours, but then makes more money as a secretary every hour after that.
18 18. Alicia and Melissa did jumping jacks. The table below shows the number of jumping jacks that Alicia had done in different amounts of time. Alicia Time (minutes) Jumping Jacks The graph below shows the number of jumping jacks Melissa had done in different amounts of time. Which choice best describes the difference between the rates at which the girls did jumping jacks? A. Melissa did 6 more jumping jacks per minute than Alicia. B. Alicia did 6 more jumping jacks per minute than Melissa. C. Melissa did 5 more jumping jacks per minute than Alicia. D. Alicia did 5 more jumping jacks per minute than Melissa.
19 19. Alice compared the graphs of two functions. The first function was y = 3x + 4. The second function fits the values in the table below. x y What is the distance between the y-intercepts of the two functions? A. 1 B. 2 C. 3 D. 4
20 20. John and Richard mow lawns. They each charge a flat fee plus an hourly rate. John charges $10.00, plus $5.00 per hour of work. The table below shows the amount Richard charges. Which statement is true? Hours Cost 1 $11 2 $17 3 $23 A. John and Richard have the same hourly rate. B. Richard has a lower hourly rate than John. C. John has a lower hourly rate than Richard.
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