Name: _________________________________________________ Date: _______________ Period: _____ Algebra 1 β Bowling, Delso, Fletcher, Skiles EOC Review 3 for Linear Basics, Slope, and Intercepts _____ 1. Find the x-intercept and the y-intercept for the function represented in the table below: A. x-int: (0, 8) y-int: (2, 0) C. x-int: (8, 0) y-int: (0, 2) B. x-int: (2, 0) y-int: (0, 8) D. x-int: (0, 2) y-int: (8, 0) X -1 0 1 2 3 Y 12 8 4 0 -4 _____ 2. What is the zero of the function graphed below? A. (0,1) C. (β2, 0) B. (1, 0) D. (0, β2) _____ 3. Find the x-intercept and the y-intercept of the linear equation: A. x-int: (4, 0) y-int: (0, 8) C. x-int: (0, 4) y-int: (8, 0) B. x-int: (4, 0) y-int: (0, 2) D. x-int: (0, 4) y-int: (2, 0) 4π₯ + 8π¦ = 16 ____ 4. The slope of the line to the right is: ____ 5. The slope of the line to the right is: A. Positive C. Negative A. Positive C. Negative B. Zero D. Undefined B. Zero D. Undefined _____ 6. The slope of the line to the right is: _____ 7. The slope of the line to the right is: A. Positive C. Negative A. Positive C. Negative B. Zero D. Undefined B. Zero D. Undefined _____ 8. Find the x-intercept and the y-intercept of the graph below: A. x-int: (3, 0) y-int: ππππ C. x-int: (0, 3) y-int: ππππ B. x-int: (0, 3) y-int: (2, 0) D. x-int: (3, 0) y-int: (0, 2) _____ 9. Find the slope of the line below: _____ 10. Find the slope of the line below: A. 3 A. 1 B. B. 3 C. β 1 3 D. β3 Y -5 -1 3 7 A. β1 B. 1 2 2 2 3 C. β 3 D. β 2 2 3 _____ 12. Find the slope of the line that passes through: (1, 3) and (2, 3) _____ 11. What is the rate of change for the linear function in the table below: X -2 0 2 4 3 C. 2 A. 1 C. 3 D. β2 B. 0 D. undefined _____ 13. Jason is in a bicycle race. The graph below represents the distance traveled as a function of time. Which of the following best describes the meaning of the slope of the line representing this situation? Distance (miles) A. Jason cycles at a speed of about 12 miles per hour. B. Jason cycles at a speed of about 30 miles per hour. C. Jason cycles at a speed of about 3 miles per hour. D. Jason cycles at a speed of about 18 miles per hour. Time (hours) _____ 14. Which of the following has the same rate of change as π¦ = β8 + 4π₯? A. X -4 -2 0 2 Y 23 15 7 -1 B. X -2 0 2 4 Y -3 5 13 21 C. X -8 -4 0 4 Y -2 -1 0 1 D. X -4 0 4 8 Y 2 4 6 8 3 Answer Below 15. What is the slope, y-intercept, and x-intercept of graph of the linear equation: π¦ = 2 π₯ + 3 _____ Slope _____ Y-intercept _____ X-intercept _____ 16. What is the slope of a line parallel to π¦ = 6 β 2π₯ ? _____ 17. This graph shows the amount of weight Lucy lost over a 5-week period. What does the slope of this graph represent? A. number of weeks B. weeks per pound lost C. pounds lost per week D. maximum number of pounds lost _____ 18. What are the slope and y-intercept of the equation of the line graphed below? 3 A. π = 2 ; y-intercept = (β2, 0) 2 B. π = 3 ; y-intercept = (0, β2) C. π = 3 ; y-intercept = (0, β2) D. π = β2 ; y-intercept = (3, 0) _____ 19. The table below shows ordered pairs of a linear function. What are the x and y intercepts for the graph of this linear function? X Y A. x-intercept = (β6, 0) y-intercept = (0, 9) -6 -10 -3 -8 B. x-intercept = (0, 9) y-intercept = (β6, 0) 3 -4 6 -2 C. x-intercept = (0, β6) y-intercept = (9, 0) D. x-intercept = (9, 0) y-intercept = (0, β6) _____ 20. What is the slope of the line that passes through the points: A. 3 4 B. 4 3 C. β1 (5, 2) and (β3, β4) 3 D. β 4 _____ 21. Apex Plumbing charges a trip fee of $50 plus $45 for each hour of service. John wrote an equation using t, the total cost of a service call, as a function of h, the number of hours the call lasted. What is the value of the slope in his equation? (2, 140) (0, 50) ______ 22. What is the zero of the function graphed to the right? A. (0, 4) C. (4, 0) B. (2, 0) D. (0, 2) _______________ 23. Write an equation for a line with a slope of β4 and a y-intercept of (0, 2) _______________ 24. Write an equation for a line with a slope of 0 that goes through the point (2, -5) _______________ 25. Write an equation for a line with a slope that is undefined and that goes through the point (3, -7) _____ 26. Which of the following is the equation for the graph to the right? A. π₯ = β2 C. π¦ = π₯ β 2 B. π¦ = β2 D. π¦ = 2 _____ 27. Which of the following is the graph of: π₯ = β3 A. _____ Slope _____ Y-int B. C. D. 28. Identify the slope and y-intercept of: π¦ = 3π₯ β 5 1 _____ 29. What is the y-intercept of the given linear equation: π¦ = 2 π₯ _____ 30. Mitchell is renting a house. He has to pay an application fee of $75 and his monthly rent payment is $700. If Mitchell writes an equation he can use to calculate the total amount he will pay, y, based on how many months he lives in the house, x, what would the slope and y-intercept represent? A. Slope: monthly rent Y-int: application fee B. Slope: number of months Y-int: total cost C. Slope: application fee D. Slope: monthly rent Y-int: monthly rent Y-int: total cost _____ 31. Olivia is having work done on her house. She will have to pay for the materials and pay the contractors their hourly labor charges. If the equation π¦ = 100π₯ + 800 represents the total cost, y, based on how long it took the contractors to complete the work, x, what does the slope and y-intercept represent? A. Slope: cost of materials Y-int: hourly labor fee B. Slope: hourly labor fee Y-int: cost of materials C. Slope: time to complete the work D. Slope: hourly labor fee Y-int: total cost Y-int: total cost
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