Lesson 20T ~ The Coordinate Plane Name Period Date Write the ordered pair for each point on the coordinate plane below. 1. A (, ) 2. B (, ) 3. C (, ) For each ordered pair (, ): move right or left to find the value. move up or down to find the value. 4. D (, ) 5. E (, ) 6. F (, ) On the coordinate plane below, graph and label the following ordered pairs. 7. F (4, 2) 8. L (0, 8) 9. O (0, 0) 10. W ( 6, 7) 11. E ( 4, -9) 12. R (6, 5)
Write the ordered pairs from the table. Graph the points. 13. 2 1 0 1 2 14. 2 1 0 1 2 Points: (, ) 2 1 0 1 2 5 2 0 2 5 Points: (, ) (, ) (, ) (, ) 15. 5 3 1 1 3 16. 10 6 0 6 10 Points: 1 2 3 4 5 4 3 8 3 6 Points:
Lesson 21T ~ Making Sense of Graphs Name Period Date Choose the best stor for the graph. Eplain how that choice fits the stor. 1. A. A train leaves the station on a trip. B. Bob runs and then walks to the store. C. Stan slows down as he rides his bike home. Speed Time 2. Martin was at work. He drove home for lunch and then returned to work. The graph below shows his distance from home (miles) over time (hours). a. How far awa is Martin s work from his home? b. How long did Martin sta home for lunch? c. Find Martin s rate of speed in miles per hour for the trip home from work. number of miles driven number of hours spent driving = miles hours e. How long was Martin gone from work? 3. Jason drove from his home to the coast. The graph below shows his speed in miles per hour over time in minutes. a. What was Jason s fastest speed? b. How long did Jason drive at his fastest speed? c. What does the point (35, 0) mean on the graph?
Lesson 22T ~ Direct Variation Tables and Graphs Name Period Date Each table below represents direct variation. Graph each scatter plot. Find the rate b which each graph increases. 1. 2. 3. 0 0 0 0 1 1 1 2 2 2 2 4 3 3 3 6 4 4 4 8 0 0 3 1 6 2 9 3 12 4 rate: - coordinate - coordinate = rate: rate: State whether the table models direct variation b shading in the correct bo. Eplain wh or wh not. If it does, give the rate. 4. 5. 6. 0 0 -- 1 3 2 6 3 9 4 12 2 1 3 2 4 3 5 4 6 5 1 5 2 10 3 15 4 20 5 25 YES NO YES NO YES NO Wh? Wh? Wh? rate: rate: rate:
State whether the graph models direct variation b shading in the correct bo. Eplain wh or wh not. If it does, give the rate. 7. 8. Wh? YES NO Wh? YES NO rate: rate: 9. 10. Wh? YES NO Wh? YES NO rate: rate:
Lesson 23T ~ Direct Variation Equations Name Period Date Complete each input-output table and graph each function in Quadrant I. 1. Input Function Rule = 2 Output 0 2(0) 0 1 2(1) 2 2 2(2) 3 2( ) 4 2( ) 2. Input Function Rule = Output 0 0 0 1 1 2 3 4 3. Input 0 4 4 8 12 16 Function Rule 1 = 4 Output 1 (0) 0 Let each tick mark equal 2 on our -ais.
Find the slope of each direct variation equation. 2 4. = 5 5. = 6. = 20 3 The tables below show ordered pairs which model direct variation. Write an equation relating the and coordinates. 0 0 1 6 2 12 3 18 4 24 0 0 1 10 2 20 3 30 4 40 7. 8. 9. 2 1 4 2 6 3 8 4 10 5 Equation: = m m = - coordinate - coordinate = Equation: Equation: Equation:
Lesson 24T ~ Recognizing Direct Variation Name Period Date Tell whether or not each graph is a direct variation graph b shading in the correct bo. Eplain our choice. 1. 2. YES NO YES NO Wh? Wh? 3. 4. YES NO YES NO Wh? Wh?
Tell whether or not each equation is a direct variation equation b shading in the correct bo. If it is direct variation, identif the slope. 5. = 4 6. 2 1 = 2 7. = 2 YES NO YES NO YES NO slope: slope: slope: 8. = 9. 5 3 = 10. = 3 YES NO YES NO YES NO slope: slope: slope: Tell whether or not each table shows ordered pairs that model a direct variation equation. Eplain our choice. If the ordered pairs show direct variation, identif the slope. 11. 12. 13. 2 4 6 2 1 2 3 1 0 0 -- 0 0 -- 1 2 3 1 2 4 6 2 2 6 1 3 0 0 -- 1 3 2 6 YES NO YES NO YES NO Wh? Wh? Wh? slope: slope: slope: Onl give the slope if it is direct variation!
Lesson 25T ~ Writing Linear Equations Name Period Date = ± Start Value Rate of Change Find the linear equation for the input-output tables. 1. Input Output 2. 0 2 1 4 2 6 3 8 4 10 Start Value: Rate of Change: Input Output 1 10 0 7 1 4 2 1 3 2 Start Value: Rate of Change: = = 3. Input Output 4. 2 6 1 3 0 0 1 3 2 6 Input Output 2 6 1 5 0 4 1 3 2 2
5. Use the equation = 3 + 2. a. What is the rate of change? b. What is the start value? c. Is the graph of this function increasing or decreasing? How do ou know? Find the linear function rule for each graph. 6. 7. Start Value: Rate of Change: Start Value: Rate of Change: = = 8. 9.