Name Date Period Slope Review 1. Callie and Jeff each have a job delivering newspapers. Jeff gets paid $140 dollars for delivering 350 papers. Callie gets paid $100 for delivering 200 papers. a. Find the unit rate (in dollars per paper) for each person. Jeff: Callie: b. The graph given below shows the money earned to papers delivered relationship - label which line represents each person. c. Write an equation that represents how much each person earns. Callie: Jeff: 2. Calculate the slope of the line connecting each pair of points. a. Write the equation to find slope: b. (3, -10) and (-6, -10) c. (14, -3) and (14, -7) 3. Calculate the slope of the line that contains the points given in each table. a. b. x y 2 68 4 136 6 204 8 272 x y 0 9 3 12 6 15 9 18
Find the slope of each line. 4. 5. 6. Given the equations, first find the slopes and y-intercepts. Then graph the lines. a. y =! x+ 4 b. y 2x = 4! 7. Your family is moving across the country. You have to drive 1000 miles. Each day you travel 230 miles. Your driving can be represented by the equation y = 1000 230x. a. What is the slope, and what does it represent? b. What is the y-intercept, and what does it represent? c. Is this a proportional relationship? Explain d. What is the meaning of x e. being -4? Explain 8. Solve. Assume that y varies directly (is proportional) with x. a. If y = 24 when x = 16, find y when x = 8. b. If y = -2 when x = 6, what is the value of x when y = -9.
Writing the Equation of a Line Review Directions: For each problem below write a linear equation in the form y = mx + b for the given conditions. 9. The line has a slope of -4, and a y-intercept at (0, 8). 10. The line has a slope of 3, and a point of (-2, -8). 11. The line passes through the points (4, -4) and (6, 6) Directions: For each problem below write a linear equation in the form y = mx + b for the given conditions. 12. 13. X y 4-1 4 0 4 1 4 2 X y -3 9-2 6 2-6 3-9 14. 15.
Directions: Graph the lines for the following given information. SHOW YOUR WORK! 16. The line contains the point 17. x 3y = 6 (-2, 0) and has slope of!! 18. John is taking snowboarding lessons. The instructor charges a registration fee, and then a fee per lesson. For 5 lessons John has paid $140 and for 10 lessons he has paid $250. a. Write an equation, in y = mx + b form, that represents this situation. b. In your equation, what does the y represent? c. In your equation, what does the y intercept represent? d. How much will it cost John to take 20 lessons? 19. Oscar is saving money for a new car. His parents decide to help him out and give him some money as a gift. Then he saves $450 per month. After 8 months Oscar has $5800. a. Write an equation, in y = mx + b form, that represents this situation. b. How much money did Oscar s parents give him?
Systems Review Directions: Solve the following systems of equations by graphing. Put your solution on the answer line. Don t forget to check your solution! (4 points each) 20. y = 2x + 3 y = 4 + 2x 21. 3x + y = 4 y = 2 Directions: Use the substitution method to solve the linear system. 22. y = 4x x + y = 5 23. y 2x = 3 x + 3y = 6 Directions: Use the elimination method to solve the linear system. 24. 2x + 4y = 32 5x 4y = 10 25. 5x + y = 14 2x + 5y = 1
Functions Review Directions: Determine if each relation or situation defines a function. 26. Is a student s first name a function of his/her student ID number? Consider all students in your school. Explain. (4 pts) 27. y = 1 x 2 28. 29. 30. 4 31) Determine if the following tables are linear or nonlinear functions. If they are linear state the rate of change. If they are nonlinear, write nonlinear. 31a) 31b) x y 0 1 2 2 4 3 10 4 x y -4 6 0 14 8 30 12 38 32) Antonio and Juan are in a 4-mile bike race. The graph below shows the distance of each racer (in miles) as a function of time (in minutes). Who wins the race? How do you know? Describe the pace of each person in the race. 33) Sketch a graph of Carrie s distance from home. Carrie starts at home, walks to the neighbors to play, stays at the neighbors to play, then runs home.