Name: Date: Period: Review for Test 3: Linear Functions Slope Formula: y 2 y 1 x 2 x 1 1. Graph the line that passes through the given points. Then identify the slope, whichever intercept is asked for, and write the equation for the line. a.) ( 2, 2) and (2, 4) b. (5, 1) and (5, 5) x-int= 2. Find the x and y intercepts for each equation below. a.) 2x y = 4 b. y = 3x + 9 x-int: y-int: x-int: y-int: 3. Find the slope of the line through the following points. a.) (2, 3) and (5, 1) b. ( 3.2, 5) and ( 1.7, 2) c.) (3, 2) and (4, 2) 4. Which of the following graphs represent a linear function? 5. Which of the following equations represents a linear function? A. y = x 2 B. y = 2x 3 C. y = 1 x D. y = x
5. Use the line in the graph to the right to answer questions. a.) What is m? b.) What is the x-intercept? c.) What is the y-intercept? d.) What is the equation of the line? 6. Draw and label the Slope Dude 7. The table below shows ordered pairs of a linear function. X Y -1 6 1 2 3-2 4-4 What is the x intercept? What is the y intercept? What is the Rate of Change? What is the equation of the line? 8. State the slope and intercept of the following lines and write the equation for each. a.) Slope: b.) Slope: Intercept: Intercept: 9. Answer the following questions using the table to the right. Does the table to the right represent a linear function? What is the x-intercept? What is the y-intercept? What is the rate of change? What is the equation? X Y 3 4 0 3 3 2 6 1 9 0
10. Ryan is writing a composition for homework. Ryan has already typed 15 sentences and he decides from this point on he will keep track of the number of sentences he writes compared to the time in minutes he works. The graph below shows the data he collected. Sentences Written 90 75 60 45 30 15 0 Ryan s Composition 1 2 3 4 5 Time (minutes) At what rate does Ryan write his composition? A. 0.5 sentence per minute B. 15 sentences per minute C. 7.5 sentences per minute D. 2 sentences per minute 11. Which of the following graphs show the linear equation 3y 9x = 9? 12. This graph shows the amount of money earned over 6 months. Total Money Earned 575 460 345 230 115 0 1 2 3 4 5 6 Month What does the slope of this graph represent? A. number of months B. total money earned C. months per total money earned D. total money earned per month 13. Find the slope and y-intercept of the following lines. Then write the equation. a.) b.)
14. What is the zero of the function graphed to the right? 15. Which of the following tables contains values for an equation that has a rate of change of 2? A. x Y B. x Y C. x Y D. -2 1 1 0-2 -3 0 3 2 4 0-4 2 5 3 6 2-5 4 7 4 8 4-6 x Y 1-3 2-5 3-7 4-9 16. Kevin is saving money. He starts with $100 and saves $25 each month. The graph below shows the amount of money he has been able to save as a function of the number of months he has been saving. What is the slope? What does the slope represent? What is the y-intercept? What does the y-intercept represent? Is the x-intercept useful for this situation? Why or why not? 17. Write an equation for a line with slope of 3 and y-intercept 8. 18. Write an equation for a line with slope of 2 and y-intercept 4. 3 19. Write an equation for a line that goes through (0, 5) with a slope of 3. 20. Write an equation for a line with a slope of 1 that passes through the point (0, 0). 21. Identify the slope and y-intercept of: y = 1 x + 7 5 22. Identify the slope and y-intercept of: y = 5x 23. Identify the slope and y-intercept of: y = 3 24. Identify the slope and y-intercept of: y = 2 5x
25. Write the equation in slope intercept form: 26. Write the equation in slope intercept form: 4x + 2y = 8 Then identify slope and 6x 4y = 4 Then identify slope and y-intercept. y-intercept. 27. What is the slope and y-intercept of the 28. Given the graph below, identify the following: linear equation: x 4y = 12 (What do you need Slope: to do 1 st?) y-int: Equation of the line: 29. Graph the following equations and identify the slope, the y-int if it has one, and the x-int if it has one: a. y = 4 b. x = 3 x-intercept y-intercept x-intercept 30. Jerod is buying a house for $65,000. His monthly payments will be $725 per month. Write an equation Jerod could use to calculate how much money he still owes for his house as a function of how many months he has been paying for the house. Then state what the slope, y-intercept, and x-intercept are and what they represent, and state what the domain values (x values) represent and what the range values (y values) represent. Slope: Slope Represents: Domain (x) represents: Range (y) represents: y-int: y-int represents: x-int: x-int represents:
31. Jenny is renting a moving truck. She will have to pay a one-time fee for insurance coverage and pay the daily rate for the truck each day she uses it. The total cost of renting the truck in terms of the number of days the move will take can be modeled by the equation y = 110x + 85. What s the slope? What s the y-intercept? Match the parts of the equation in column A to their correct representation in column B. Column A Column B What does x represent? 1. the one-time fee for insurance coverage What does y represent? 2. the cost per day for renting the truck; the daily rate What does the slope represent? 3. the number of days the move takes What does the y-intercept represent? 4. the total cost 32. Which of the following is the graph of: y = 2x + 4? 33. Which of the following is the graph of: x + 2y = 4?