Name Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Travels in Air. Distance (miles) Time (seconds)

Transcription

1 Practice - Rate of Change and Slope Find the slope of each line.... O O O Find the slope of the line that passes through each pair of points.. (, ), (7, 5) 5. (8, ), (, ). (, 5), (, 7) 7. (-, 7), (, -) 8. (, ), (5, 9) 9. (-, -), (, ) Find the rate of change. 0. Points Scored. Distance Sound. for Touchdown with Travels in Air Points Scored Field Goal Number of Touchdowns Distance (miles) Time (seconds) Speed (ft/s) Speed 5 7 Time (seconds) L Practice Algebra Lesson - 89

2 Practice - Slope-Intercept Form Find the slope and -intercept of each equation. Then graph.. = +. = -. = -. = =- -. =-5 - Write an equation of a line with the given slope and -intercept. 7. m =, b = 8. m =-, b =-5 9. m =, b =- 0. m =-, b =. m =, b =-5. m =, b = 0 Write the slope-intercept form of the equation for each line O O 8 O L Practice Algebra Lesson - 9

3 Practice - Appling Linear Functions Model each situation with a linear function and graph. Is it reasonable to include negative numbers in the range?. A gas station charges $.50 per gallon for diesel.. It costs a craftsperson $0 to bring 50 picture frames to market, and the picture frames sell for $. The difference between the cost and the income from sales is the craftsperson s profit.. Temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Ten degrees Celsius equals 50 degrees Fahrenheit, and 5 degrees Celsius equals 77 degrees Fahrenheit. Write a linear function for each graph, and state and interpret the slope and the -intercept in each case.. A rental cabin charges a flat fee per week, plus a per-person cost based on how man guests are staing. Cabin Rental ($) O Number of Guests L Practice Algebra Lesson - 9

4 Practice - Standard Form Graph each equation using - and -intercepts.. + =. - + =. + =. =-5 5. =. 5 + = 5 Write each equation in standard form using integers. 7. = = = = = The drama club is performing a musical. Tickets cost $5 for adults and $ for students. The drama club wants to raise $50. a. Write an equation to find the number of each tpe of ticket the should sell. b. Graph our equation. c. Use our graph to find two different combinations of tickets sold.. A baker bus $70 worth of flour and sugar for the baker. A bag of flour costs $5, and a bag of sugar costs $7. a. Write an equation to find the number of bags of each tpe the baker can bu. b. Graph our equation. L Practice Algebra Lesson - 95

5 Practice -5 Point-Slope Form and Writing Linear Equations Write an equation in point-slope form for the line through the given points or through the given point with the given slope.. (, ), (5, 7). (-, ); m =-. (-, 5); m =. (, -5); m = 5. (5, -); m =. (-, ), (, ) 7. (, ), (-, -) 8. (-, ); m = 9. (, 7); m = 0 0. (, ); m undefined. (5, ), (, 0). (, ); m = Is the relationship shown b the data linear? If it is, model the data with an equation Write an equation of each line in point-slope form O O O L Practice Algebra Lesson -5 97

6 Practice - Parallel and Perpendicular Lines Find the slope of a line parallel to the graph of each equation.. = + 5. = +. = = = 0. =- Write an equation for the line that is perpendicular to the given line and that passes through the given point. 7. (, ); = - 8. (-5, 5); = (-, -); = O Write an equation for the line that is parallel to the given line and that passes through the given point.. (, ); = -. (, ); = - 5. (, -); = O 5 5 O O O O Tell whether the lines for each pair of equations are parallel, perpendicular, or neither = 0. =-. = + = = =- L Practice Algebra Lesson - 99

7 Practice -7 Scatter Plots and Equations of Lines Decide whether the data in each scatter plot follow a linear pattern. If the do, find the equation of a trend line O O Use a graphing calculator to find the equation of the line of best fit for the following data. Find the value of the correlation coefficient r and determine if there is a strong correlation between the data Draw a scatter plot. Write the equation of the trend line O L Practice Algebra Lesson -7 0

8 Practice -8 Graphing Absolute Value Equations Graph each equation b translating».. = «-. = + «. = + «- Graph each equation b translating».. =- «+ 5. =- - «+. =- - 5«+ Write an equation for each translation of». 7. up units, right unit 8. down units, left units 9. down 5 units, right units Write an equation for each translation of». 0. right 7 units, up units. down units, left unit. up units, right units Write an equation for the given graphs O O O L Practice Algebra Lesson -8 0