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

Determine whether the following is a function {(2, 5); (3, 9); (2, 7); (-3, 6)}

No it is not a function since the x-value of 2 repeats

Determine whether the following is a function x48392 y127573

It is a function because no x-value repeats; despite on of the y-values repeating

Find the value of f(9) if f(x) = 3x - 5

f(x) = 3x – 5 f(9) = 3(9) – 5 = 27 – 5 = 22

Find the value of g(-4) if g(x) = 4x + 2

g(x) = 4x + 2 g(-2) = 4(-4) + 2 = = -14

Determine whether the following is a function

It is not a function since it doesn’t pass the vertical line test

Write an equation for the sequence below 3, 4, 5, 6, …

t = n + 2

Write an equation for the following sequence 2, 4, 6, 8, …

t = 2n

Write an equation for the following sequence 6, 16, 26, 36, …

t = 10n – 4

Find the 13 th term of the following sequence by first finding the equation 4, 8, 12, 16

t = 4n t = 4(13) t = 52

Find the equation and find the 33 rd term of the following sequence 7, 9, 11, 13, …

t = 2n + 5 t = 2(33) + 5 t = t = 71

Find the slope of a hill that has a vertical change of 5 feet and a horizontal change of 12 feet

Find the slope of a hill that has a horizontal change of 15 feet and a vertical change of 7 feet

Find the slope on the graph

Find the slope based on these two points (4, 8) and (7, 12)

Find the slope based on these two points (-8, 12) and (4, -15)

Name the equation in slope-intercept form Slope is 2 and y- intercept is 3

y = mx + b m is slope b is y-intercept b = 3 and m = 2 y = 2x + 3

Give the equation of the graph below in slope-intercept form

y = mx + b m is slope b is y-intercept b = -2 and m = 5 y = 5x + -2 or y = 5x – 2

Write the equation in point- slope form (2, 5) and (8, 3)

Write the following in slope-intercept form (4, 8) and (3, 9)

Write the equation of the following (4, 9) and (12, 9)

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

Find the solution of the two equations y = 5x y = x + 8

y = 5xPlug in and get y y = x + 8y = 5(2) y = 10 5x = x + 8 4x = 8(2, 10) x = 2

Find the solution of the two equations y = -3x y = x - 12

y = -3xPlug in and get y y = x – 12y = -3(-3) y = 9 -3x = x – 12 -4x = 12(-3, 9) x = -3

Find the solution of the two equations y = 2x + 3 y = 2x - 9

Since the slopes of both equation are equal, they will never intersect. Therefore, there is no solution.

Find the solution of the two equations 2x + 2y = 8 y = -x + 4

Solve the top equation for y and get y = -x + 4. Since they are the same equation, the solutions are infinite!

Find the solutions of the two equations y = 3x + 2 y = 5x - 6

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