EOC Review Days 2 & 3: Linear Basics, Slope, and Intercepts
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1 Name: Date: Period: Algebra 1 Bowling, Cawthon, Fletcher, Skiles EOC Review Days 2 & 3: 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: ( ) y-int: ( ) X Y B. x-int: ( ) y-int: ( ) C. x-int: ( ) y-int: ( ) D. x-int: ( ) y-int: ( ) 2. What is the zero of the function graphed below? A. ( ) B. ( ) C. ( ) D. ( ) 3. Find the x-intercept and the y-intercept of the linear equation below: A. x-int: ( ) y-int: ( ) B. x-int: ( ) y-int: ( ) C. x-int: ( ) y-int: ( ) D. x-int: ( ) y-int: ( ) 4. The slope of the line to the right is: A. Positive B. Negative C. Zero D. Undefined
2 5. Find the x-intercept and the y-intercept of the graph below: A. x-int: ( ) y-int: B. x-int: ( ) y-int: C. x-int: ( ) y-int: ( ) D. x-int: ( ) y-int: ( ) 6. The slope of the line to the right is: A. Positive B. Negative C. Zero D. Undefined 7. The slope of the line to the right is: A. Positive B. Negative C. Zero D. Undefined 8. The slope of the line to the right is: A. Positive B. Negative C. Zero D. Undefined 9. Find the slope of the line below: 10. Find the slope of the line below: A. A. B. B. C. C. D. D.
3 Distance (miles) 11. What is the rate of change for the linear function in the table below: X Y A. B. 2 C. D. 12. Find the slope of the line that passes through: ( ) and ( ) A. 1 B. 3 C. 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? 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 tables contains values for an equation that has a rate of change of 4? A. X Y B. X Y C. X Y D X Y 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
4 16. What are the slope and y-intercept of the equation of the line graphed below? A. ; y-intercept ( ) B. ; y-intercept ( ) C. ; y-intercept ( ) D. ; y-intercept ( ) 17. Which graph shows the line? A. B. C. D. 18. 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 = ( ) y-intercept = ( ) B. x-intercept = ( ) y-intercept = ( ) C. x-intercept = ( ) y-intercept = ( ) D. x-intercept = ( ) y-intercept = ( ) 19. Find the slope of the line that passes through: ( ) and ( ) A. B. C. D.
5 20. 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? ( ) ( ) 21. What is the zero of the function graphed to the right? A. ( ) B. ( ) C. ( ) D. ( ) 22. Jonathan is finding the slope of the line that passes through the points ( ) and ( ) by using the slope formula. His steps are listed below. Did he find the slope correctly for these two points? If not, state what step he made his mistake in. A. Step 1: ( ) ( ) B. Step 2: C. Step 3: Simplify to get that the slope = D. The answer is correct. No mistakes were made. 23. Which equation best describes the line with slope 4 and y-intercept 2? A. B. C. D. 24. Which equation describes the line through (0, 4) with a slope of 1? A. B. C. D. ( )
6 25. Which of the following is the equation for the graph to the right? A. B. C. D. 26. Which of the following is the graph of: A. B. C. D. 27. What is y-intercept of the line shown in the graph to the right? A. ( ) B. ( ) C. ( ) D. 28. Identify the slope and y-intercept of: A. Slope: 3 Y-int: 5 B. Slope: 5 Y-int: 3 C. Slope: 3 Y-int: 5 D. Slope: 5 Y-int: Which of the following is the correct slope-intercept form of: A. B. C. D. 30. What is the y-intercept of the given linear equation: A. b = 0 B. b = none C. b = D. b = undefined
7 31. Write the equation in slope-intercept form, then identify m. Show all your steps. 32. Using the equation you got in #31 above, identify b. 33. 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: the monthly rent Y-int: the application fee B. Slope: the application fee Y-int: the monthly rent C. Slope: number of months Y-int: total cost D. Slope: the monthly rent Y-int: total cost 34. 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 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 the materials Y-int: hourly labor fee B. Slope: hourly labor fee Y-int: cost of the materials C. Slope: how long it takes to complete the work Y-int: total cost D. Slope: hourly labor fee Y-int: total cost
8 Name: Algebra 1 EOC Review Days 2 & 3 Period: Warm-up/Notes EOC Review of Linear Basics, Slope, and Intercepts Slope-Intercept Form of a line: slope and y-intercept Slope Formula: used to find the slope between two points ( ) and ( ) Look at the SOS Slope Box Find the slope/rate of change of the line that is represented in the graph, the list of points, and the table. Given: ( ) and ( ) How? Use the slope formula or Plot the points and do x y How? Find, pick 2 points and use the slope formula, or plot points then How? Count out Write the equation of the line in the graph above (in slope-intercept form). Re-write the following in slope-intercept form. Then, state the slope, y-intercept, and zero (x-int) of the line. (graph it or y = & table) Slope: y-int: zero: Jenny is renting a moving truck. She will have to pay a deposit for the insurance coverage and pay the daily rate for the truck each day she uses it. If the daily rate is $80 and the insurance coverage is $115, write an equation that Jenny could use to calculate the total cost of renting the car based on how many days she has it? Equation: Slope: x: y-int: y:
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