Practice A. Summer Income Use the following information. Decide which of the,two points 'lies on the graph of the line.
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1 NAME ~ ~ _ DATE Practice A For use withpages Decide which of the,two points 'lies on the graph of the line. 1. x + Y = x + Y = 8 3. Y - x = 2 a. (2,4) b. (2,6) a. (2,2) b. (3,2) a. (5, 3) b. (3, 5) 4. x = 4 5. Y = Y = 0 a. (4,2) b. (2,4) a. (-3,2) b. (3,-3) a. (0, 3) b. (- 1, 0) i 1 7. Y = x y = x Y = -3x + 1 a. (4,6) b. (6,4) a. (-2,1) b. (1,-2) a. (0, 1) b. (1,4) ' : Find three different ordered pairs that are solutions of the equation. 10. y = x x = Y = y = - x Y = - 3x -r-'415. Y = 2(x + 4) Rewrite the equation in function form x + y = x + Y = x + y = x + Y = x - y = x + Y = x + 2y = x + 3y = x - 4y = 3 Use a table of values to graph the equation. 25. y = x Y = x Y = 2x Y = x = x = 31.y=-x 32.y=~x Y = ~x + 4 j, 34. y = 2 - x 35. Y = 3(x + 1) 36. y = - 2(x + 3) Summer ncome Use the following information. You earn $15 an hour mowing lawns and $10 an hour washing windows. You want to make $400 in one week. An algebraic model for your earnings is 15x + loy = 400, where x is the number of hours mowing lawns and y is the number of hours washing windows. 37. What are your earnings for 3 hours of mowing and 5 hours of window washing? \ 38. Solve the equation for y. 39: Sketch a graph of the equation.. :. \ Algebra 1 Chapter 4 Resource Book Copyright McDougal Littell nc. All rightsreserved.
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3 NAME Practice A 7-/0, /3-17 Foruse with pages DATE _ Use the graph to find the x-intercept and the v-intercept of the line. ~, i'\: 1-5 y ~ '\. r-, - 1 '\. -1 -, 5 x 11-1.'\J f---h-l Y - c--r----'- 'z f-r---5 Find the x-intercept of the graph of the equation. ~/ 3 x 3. Y 5 / 4. x + Y = 5 5. x - Y = x - 3y = x + Y = x - 10y = x + 12y = 36-3 J 3 ~ 1/ 1 1 x, ( Find the j-lntercept of the graph of the equation. 10. y = -3x Y = ~x Y = 3-2x x + 6y = x + 4y = x - loy = -40.: Graph the line that has the given intercepts. 16. x-intercept: x-intercept: x-intercept: - 3 y-intercept: 2 y-intercept: - 1 y-intercept: 5 ", 19. x-intercept: x-intercept: x-intercept: 10 y-intercept: - 5 y-intercept: 4 y-intercept: Find the x-intercept and the v-intercept of the line. Graph the equation. Label the points where the line crosses the axes. 22. y = x y = x Y = 1 + x 25. y = 2 - x 26. y = 2x y = 3x x + Sy = x + 2y = x -5y = 35! Use the following infor Ticket Sales mation. You sold tickets to the school play. Advanced tick ets were $4. Tickets bought at the door were $5. Total ticket sales were $400. Let x represent the number of advanced tickets sold and y represent the number of tickets sold at the door. 31. Graph the linear function 4x + 5y = Label the x-intercept and the y-intercept. What does each represent in the situation?, Algebra C_4 Resou"" Book Club Membership Use the following information.!: The Spanish Club is open to juniors and seniors. There are now 18 members in the club. Let ~ x represent the number of junior members and y repre.} sent the number of senior members.., 33. Graph the linear function x + y = Label the x-intercept and the y-intercept. What does each represent in the situation? Copyright McDougallittelllnc. All rights reserved. T t 'f " i (l,. ',
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5 NAME ---""-- DATE _ Practice A For use with pages State whether the slope of the line is positive, negative, zero, or.undefined. 1. y 2. y 3. y./... r-, <, /v /' r-, x x./ yo" x '--. "'" Plot the points and draw a line through them. Without calculating, state whether the slope of the line is positive, negative, zero, or undefined. 4. (2,4), (5, 2) 5. (2, - 5). (2,4) 6. (4,1), (6,7) 7. (-3,5), (2,5) 8. (1, -4), (-2,3) 9. (-4,2), (0, 5) 10. (2, -3), (-4, - 3) 11. (-5, 1), (5, -1) 12. (-1,3),(-1,-2) Find the slope of the line passing through the given points. ) 13. (1,5), (2, 9) 14. (2,4), (1, 1) 15. (4, 1), (2, 7) 16. (2,3), (4, 3) 17. (0,4), (-2,8) 18. (6, - 8), (6,4) 19. (3,7), (-9, -5) 20. (-2,3), (4,-1) 21. (-5,2), (2, -4) 22. (3, -1), (-6, -1) 23. (-3, -9), (-3, -1) 24. (-3, -2),(-1, -7) Find the value of y so that the line passing through the two points has the given slope. 25.(1, y), (2, 4), m = (4, y), (5, 3), m = (-2,4), (0, y), m = (3,5), (1,y), m = (-2, y), (0, 3), m = -! 30. (4, -2), (-1, y), m = (1,5), (10, y), m = (-3,6), (-4;y), m = (-4,8), (8, y), m = -9 n Exercises 34-39, find the rate of change between the two points. Give the units of measure for the rate. 34. (4, 10) and (6, 15); x in minutes, y in miles 35. (3,5) and (11,69); x in years, y in dollars 36. (7,21) and (14,42); x in days, y in gallons 37. (1,2) and (8, 16); x in weeks, y in pounds 38. (4, 100) and (8, 200); x in gallons, y in miles 39. (8, 1) and (4,2); x in months, y in inches ) Copyright McDougal Littell nc. Algebra 1 All rights reserved. Chapter 4 Resource Book
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