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2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt SequencesSlope Writing Equations Systems of Equations
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Determine whether the following is a function {(2, 5); (3, 9); (2, 7); (-3, 6)}
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No it is not a function since the x-value of 2 repeats
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Determine whether the following is a function x48392 y127573
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It is a function because no x-value repeats; despite on of the y-values repeating
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Find the value of f(9) if f(x) = 3x - 5
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f(x) = 3x – 5 f(9) = 3(9) – 5 = 27 – 5 = 22
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Find the value of g(-4) if g(x) = 4x + 2
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g(x) = 4x + 2 g(-2) = 4(-4) + 2 = -16 + 2 = -14
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Determine whether the following is a function
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It is not a function since it doesn’t pass the vertical line test
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Write an equation for the sequence below 3, 4, 5, 6, …
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t = n + 2
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Write an equation for the following sequence 2, 4, 6, 8, …
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t = 2n
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Write an equation for the following sequence 6, 16, 26, 36, …
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t = 10n – 4
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Find the 13 th term of the following sequence by first finding the equation 4, 8, 12, 16
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t = 4n t = 4(13) t = 52
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Find the equation and find the 33 rd term of the following sequence 7, 9, 11, 13, …
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t = 2n + 5 t = 2(33) + 5 t = 66 + 5 t = 71
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Find the slope of a hill that has a vertical change of 5 feet and a horizontal change of 12 feet
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Find the slope of a hill that has a horizontal change of 15 feet and a vertical change of 7 feet
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Find the slope on the graph
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Find the slope based on these two points (4, 8) and (7, 12)
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Find the slope based on these two points (-8, 12) and (4, -15)
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Name the equation in slope-intercept form Slope is 2 and y- intercept is 3
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y = mx + b m is slope b is y-intercept b = 3 and m = 2 y = 2x + 3
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Give the equation of the graph below in slope-intercept form
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y = mx + b m is slope b is y-intercept b = -2 and m = 5 y = 5x + -2 or y = 5x – 2
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Write the equation in point- slope form (2, 5) and (8, 3)
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Write the following in slope-intercept form (4, 8) and (3, 9)
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Write the equation of the following (4, 9) and (12, 9)
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There is no change in y since both points have a y value of 9. Therefore the slope of the line is 0. Therefore, your equation is simply y = 9
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Find the solution of the two equations y = 5x y = x + 8
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y = 5xPlug in and get y y = x + 8y = 5(2) y = 10 5x = x + 8 4x = 8(2, 10) x = 2
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Find the solution of the two equations y = -3x y = x - 12
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y = -3xPlug in and get y y = x – 12y = -3(-3) y = 9 -3x = x – 12 -4x = 12(-3, 9) x = -3
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Find the solution of the two equations y = 2x + 3 y = 2x - 9
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Since the slopes of both equation are equal, they will never intersect. Therefore, there is no solution.
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Find the solution of the two equations 2x + 2y = 8 y = -x + 4
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Solve the top equation for y and get y = -x + 4. Since they are the same equation, the solutions are infinite!
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Find the solutions of the two equations y = 3x + 2 y = 5x - 6
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y = 3x + 2Plug in and get y y = 5x – 6 y = 5(4) – 6 y = 20 – 6 5x – 6 = 3x + 2y = 14 2x – 6 = 2(4, 14) 2x = 8 x = 4
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