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Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 1. Which of the following equations is graphed below? a.)3x - 4y = 3 b.)4x - 3y = 3 c.)3x - 4y = 12 d.)4x - 3y = 12 2. A. Graph the equation . B. Graph a second line with the following two characteristics: Parallel to the line in part A. Contains the point (1, -2). 3. Fitnessrama charges a monthly fee of $16 plus an additional $2 for every visit. Graph a line that represents the total monthly cost (c) as a function of the number of visits (v) to Fitnessrama. Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 4. A. Jessica is making homemade greeting cards. She is making cards at a rate of a card per hour and has already completed 6 cards. Graph the line that represents the relationship between the number of hours Jessica worked (h) and the number of cards (c) that are made. B. Sarah is also making greeting cards. She has already completed 10 cards and is working at a faster rate than Jessica. Graph a line that represents a possible relationship between the number of hours Sarah worked (h) and the number of cards (c) that she made. 5. A. Graph the line . B. Graph a second line with a slope of 3 that has the same y-intercept as the line graphed in Part A. 6. A student volunteered to explain to the class how to graph a line. The problem that was given to her was: Graph: The student said that the y-intercept is 1, so plot a point at (0,1). The slope is so from (0,1) go over to the right 2 and up 3 to make another point at (2,4). Draw a line through the points. Graph correctly on the graph below. Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 7. Graph the line 2x - 3y = -9 Graph the line that is perpendicular to the line 2x - 3y = -9 and contains the point (2,-2). 8. Which of these is the graph of 2x + 5y = 15? a.) b.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) c.) d.) 9. Rick ordered hamburgers and hotdogs for the baseball team. The hamburgers cost $5 each and the hotdogs cost $3 each. Rick spent a total of $24 at the concession stand. A. Graph the line that represents the possible combinations of hamburgers (x) and hotdogs (y) that Rick ordered. B.Mark a point that represents a combination of hamburgers and hotdogs that cost less then $24. 10. Which point lies on the line defined by 3x + 6y = 2? a.) b.) c.) d.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 11. Cory is a baseball pitcher. Cory's pitching speed increases by 2 miles per hour every 5 weeks of practice. Which of these graphs shows the relationship between the number of weeks of practice and Cory's pitching speed? a.) b.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) c.) d.) 12. Look at the graph below. Which of these tables corresponds to the line that is graphed? Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) a.) b.) c.) d.) 13. The graph of y = 3x + 2 is shown. How would the graph change if the 2 in the equation was replaced with a 5 ? a.)The line would remain parallel with a shift down of 3 units. b.)The line would remain parallel with a shift down of 2 units. c.)The line would remain parallel with a shift up of 3 units. d.)The line would remain parallel with a shift up of 2 units. Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 14. Which best represents the graph of y = 2x - 2? a.) b.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) c.) d.) 15. Carlos uses the formula below to change Celsius temperatures (C) into Fahrenheit temperatures (F). Which of these graphs represents this formula? Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) a.) b.) c.) d.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 16. Look at the line that is graphed below. Which of these equations describes this line? a.) b.) c.) d.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 17. Tees for Teens is a store that sells shirts. The graph below represents the total cost per shirt based on the number of colors in the design. Which of these equations represents the relationship between the cost per shirt (s) and the number of colors (c)? a.)s = 0.75c + 5 b.)s = 1.5c + 5 c.)s = 5c + 0.75 d.)s = 5c + 3 18. Which of the following is true for the line x = 2? a.)It is a vertical line. b.)It is a horizontal line. c.)It has a slope of zero. d.)It has a y-intercept of 2. 19. Which of the following is true for the line y = 4? a.)It is a vertical line. b.)It is a horizontal line. c.)It has a slope of 2. d.)It has an x-intercept of 2. Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 20. Which is true for the line y = 0? a.)It is the y-axis. b.)It is parallel to the x-axis. c.)It is perpendicular to the y-axis. d.)It is the x-axis. 21. Which is true of the graph of the equation y = 10? a.)Slope is undefined. b.)Horizontal line. c.)Vertical line. d.)x-intercept is 10. 22. Which is true of the graph of the equation x = 0? a.)It is the y-axis. b.)Horizontal line. c.)x-intercept of 10. d.)It is a function 23. Which is true of the graph of the equation x = 5? a.)Vertical line. b.)Slope of 0. c.)Negative. d.)Horizontal line. 24. Which of the following is an equation for a vertical line? a.)y = -4 b.)x = 16 c.)y = x d.)y = -4x + 2 Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 25. What is the equation of the line graphed here? a.) b.) c.) d.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 26. Write the equation for this graphed line. a.) b.) c.) d.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 27. What is the equation of this graphed line? a.)y = 5 b.)x = 5 c.)y = 5x + 1 d.)x + y = 5 28. What is the equation of this graphed line? a.)x = 3 b.)y = 3 c.)y = -3 d.)x + y = -3 Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 29. What is the equation of the line graphed here? a.)y = 2x + 3 b.)y = 2x - 3 c.)y = 3x - 2 d.)y = 2/3x + 1 30. Which of these answers is the graph of a line whose equation is y = 2x + 3? a.) b.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) c.) d.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) 31. Which of these answers is a graph of the equation y = 4x + 4? a.) b.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) c.) d.) 32. Which of these answers is the graph of the equation y = -3x - 6? a.) Standard 4 Indicator 1 Graphing Linear Equations (2 Variables) b.) c.) d.)