Math Slope Unit Review by Mrs. Gabel

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Explore various topics related to slope, equations, domain, range, and different forms of equations in this comprehensive unit review hosted by Mrs. Gabel. Learn about calculating slope, determining if a relation is a function, writing equations in different forms, and more through clear explanations and visual examples.


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  1. Slope Unit Review Hosted by Mrs. Gabel

  2. Function Stuff Equations Slope Misc. 100 100 100 100 100 100 100 100 200 200 200 200 200 200 200 200 300 300 300 300 300 300 300 300 400 400 400 400 400 400 400 400 500 500 500 500 500 500 500 500

  3. D: {5,6,7,8} R: { 25,36,49,64} Determine the domain and range of the given relation. {(5,25),(6,36), (7,49), (8,64)} Row 1, Col 1

  4. y= (5/4)x + 11 Write an equation in slope intercept form that contains (-8,1) and (-4, 6) 1,2

  5. m = -1 Find the slope for the given rise and run. rise: 6 and run: -6 1,3

  6. m = rise/run and m = (y2y1)/(x2-x1) What are the two different ways you can calculate slope? 1,4

  7. Yes, because the domain doesnt repeat. Determine whether the relation is function. Explain. {(7,8),(1,3), (9,2), (2,8)} 2,1

  8. 4x + 3y = 27 Write the equation in standard form: 3y = -4x + 27 2,2

  9. m = 0 Find the slope of the line that contains the given pair of points. (1,-4) and (-7,-4) 2,3

  10. Slope-intercept, Standard, Point-slope, What are the three different forms of equations we have learned in this unit? 2,4

  11. y = 34x + 50, D:{1, 2, 3, 4} R:{84,118, 152, 186} Club X charges an initial fee of $50 for use of the club with an additional cost of $34 per month. Make a table for 1-4 months, write an equation, and find the domain and range. 3,1

  12. y + 5 = 8/5(x-1) Write an equation in point-slope form for the line that contains the given points: (1,-5) and (6,3). Use (1,-5) as your point of choice. 3,2

  13. m = 4/5 and b = -4 Find the slope and the y-intercept for the graph of the line with the equation y = 4/5 x 4 3,3

  14. y=1 5x -5, and y+5=-5(x+1) Identify the lines that are perpendicular: y=4 y=1 x=8 y+5=-5(x+1) 5x -5 3,4

  15. t = 85 + 6m The data below shows the temperature of an oven as it preheats at a steady rate. Write an equation that represents the t temp. after m minutes in slope intercept form Time (min) 1 3 5 7 Temperature 91 103 115 127 4,1

  16. y = 2,270x + 69,700 An editor gets a $2,270 raise each year. Her starting salary is $69,700. Write a linear equation which models her income in terms of how many years she has worked at the company. 4,2

  17. m = 1/7 Find the slope of the line perpendicular to the line y = -7x + 7 4,3

  18. x = 7, (7,0) and y = -2, (0,-2) Find the x and y intercepts for The following equation. 2x 7y = 14 4,4

  19. Y = -2x + 10 You make 2 headbands and have 6 feet of ribbon left. You make one more headband and have 4 feet of ribbon left. Write an equation that represents the amount of ribbon left, y after making x headbands. Use slope intercept form. 5,1

  20. y = 4x + 21 Write the equation in slope-intercept form of the line that is parallel to 8x 2y = 2 and contains (-3,9) 5,2

  21. undefined What is the slope of the equation x = 7 5,3

  22. Hold up your graph. Graph the equation y 1 = (x 10) 5,4

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