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Sequences
Slope
Writing
Equations
Systems of
Equations
1pt
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5 pt
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
x 4 8
y 12 7
3
5
9
7
2
3
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
= -16 + 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
th
13
Find the
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
rd
find the 33 term of
the following sequence
7, 9, 11, 13, …
t = 2n + 5
t = 2(33) + 5
t = 66 + 5
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 yintercept is 3
y = mx + b
y = 2x + 3
m is slope
b is y-intercept
b = 3 and m = 2
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 pointslope 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 = 5x
y=x+8
5x = x + 8
4x = 8
x=2
Plug in and get y
y = 5(2)
y = 10
(2, 10)
Find the solution of
the two equations
y = -3x
y = x - 12
y = -3x
y = x – 12
-3x = x – 12
-4x = 12
x = -3
Plug in and get y
y = -3(-3)
y=9
(-3, 9)
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 + 2
y = 5x – 6
Plug in and get y
y = 5(4) – 6
y = 20 – 6
5x – 6 = 3x + 2 y = 14
2x – 6 = 2
(4, 14)
2x = 8
x =4
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