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Bellwork 10/25. Do page 165 (#23 & 24) Make your own graph and try to be neat. Amount. Year. Page 171 (1-14 & 17,18). 7.) p = 13/2 8.) r = 3/10 9.) x = 1.03 10.) y = -7 11.) m= 1.56 12.) x=1.98. 1.) c = 12 2.) x = 80 3.) y = 36 4.) m = -4 5.) x = 1 6.) x = 8.
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Bellwork 10/25 • Do page 165 (#23 & 24) • Make your own graph and try to be neat. Amount Year
Page 171 (1-14 & 17,18) • 7.) p = 13/2 • 8.) r = 3/10 • 9.) x = 1.03 • 10.) y = -7 • 11.) m= 1.56 • 12.) x=1.98 • 1.) c = 12 • 2.) x = 80 • 3.) y = 36 • 4.) m = -4 • 5.) x = 1 • 6.) x = 8
Page 171 (1-14 & 17,18) • 13.) r = c/2 • 14.) h = S - 2r22r • 17.) 4.9%
Page 171 (1-14 & 17,18) • 18.) 45 40 35 30 25 45 50 55 60 65 70 75 80
Objective • To be able to recognize Horizontal and Vertical lines on the coordinate plane.
Plot the points(3,-3), (3,-2), (3,-1), (3,0),(3,1), (3,2), (3,3) What do you notice about all the x values that were plotted? The Equation of the line is x = 3 Y X
Now you Plot the points (1,-3), (1,-2), (1,-1), (1,0),(1,1), (1,2), (1,3) What is the equation of the line? The Equation of the line is x = 1 Y X
What did you notice about all the x values • When the x values are the same, what does the equation begin with?
Plot the points(-2,2), (0,2), (3,2) y = 2 Y X What is the equation of the line?
Now you Plot the points(-2,5), (0,5), (3,5) Y y = 5 X What is the equation of the line?
What did you notice about all the y values • When the y values are the same, what does the equation begin with?
Graph the lines x = 4 & y = -2 (4,-2) What is the intersection pt. of the 2 lines? Y X
Write equations for the horizontal line and the vertical line that pass through the point (-1, 4) • x = -1 • y = 4
x = -1 & y = 4 y = 4 Y X x = -1
Classwork • Do worksheet 4.1 • homework • Study for chapter 3 TEST
31.) x = -2 Y (-2,4) X (-2,-3)
32.) x = -1 Y X
33.) y = 2 Y X
34.) y = 4 Y X
Bellwork 10/27 Solve: • 1.) 12 = x -2 • 2.) 7x = 42 • 3.) 9x + 7(x + 1) = 17 - 4x • 4.) Solve for x: 4x - 3y = 2
Bellwork 10/27 Solve: • 1.) 12 = x -2 • 2.) 7x = 42 x = 14 x = 6
Bellwork 10/27 Solve: • 3.) 9x + 7(x + 1) = 17 - 4x • 4.) Solve for x: 4x - 3y = 2 x = 1/2 x = 1/4(2 + 3y)
Write equations for the horizontal line and the vertical line that pass through the point (-1, 4) and then plot both lines • x = -1 • y = 4
x = -1 & y = 4 y = 4 Y The intersection is at (-1,4) X x = -1
Write the equations of the line • 1.) (3,5), (3,-1), (3,0), (3,-2) • 2.) (5,5), (5,-1), (5,0), (5,-2) • 3.) (3,5), (-1,5), (0,5), (1,5) • 4.) (3,-2), (-1,-2),(0,-2),(1,-2)
Write the equations of the line • 1.) (3,5), (3,-1), (3,0), (3,-2) • 2.) (5,5), (5,-1), (5,0), (5,-2) x = 3 x = 5
Write the equations of the line • 3.) (3,5), (-1,5), (0,5), (1,5) • 4.) (3,-2), (-1,-2),(0,-2),(1,-2) y = 5 y = -2
Write the Equation of the line Passes thru the point 4 on the x-axis x = 4 Y X
Passes thru the point -2 on the x-axis Write the Equation of the line x = -2 Y X
Write the Equation of the line y = 2 Y X Passes thru the point 2 on the y-axis
Write the Equation of the line Passes thru the point -5 on the y-axis Y X y = -5
Classwork • Do Worksheet 4.1 • Homework • Page 180 (1-30)
How could you describe your Relation? • A group of People in the same family: • Example: • aunt, uncle, cousin, brother, sister, parents
What is a Relation in Algebra? • A group of ordered Pairs • Example: • {(3,2) , (-1,4) , (-3,-6)}
Functions • Relations are functions if the 1st number of the ordered pair is different from all the others.
Find the Functions • 1.) (1,1) (3,2) (-6,1) • 1.) Function • 2.) (3,1) (3,2) (-6,1) • 2.) Not a Function • 3.) (5,1) (-3,-2) (-4,2) • 3.) Function
Find the Functions • 4.) (4,1) (3,2) (-1,1) • 4.) Function • 5.) (1,1) (-6,2) (-6,1) • 5.) Not a Function • 6.) (1,3) (3,2) (3,1) • 6.) Not a Function
Linear Functions • Linear Functions are equations that can be written in the form: • y = mx + b So….. • y = 3x + 2 is a linear function • y = 3x2 + 2 is not a linear function