Sequences
Constant change multiplied/divided between terms
Common Ratio
A ______ function is where change happens all at one, and when graphed, the points are not connected.
Discrete
Given h(t)=2t-5
Find h(13)
h(13)=21
Solve for x.
y=mx+b
X=y-b/m
Simplify 5a(-3a+13)
-15a2+65a
What type of sequence is this: 3, 5, 7, 9, 11...?
Arithmetic
Solve for x.
(3/4)x = -9
X= -12
Name the point of intersection.
f(x)=2x-7
g(x)=-4x+5
(2,-3)
Find the value that will make each ordered pair be a solution to the given equation.
x+y=6
(2, _)
(0,_)
(_,0)
(2,4)
(0,6)
(6,0)
Use distributive property and combine like terms.
7x(-5x+2)-13(-5x+2)
-35x2+79x-26
Rewrite the expression using an exponent:
15 * 15 * 15* 15
154
Which situation has the greatest rate of change:
Riding a bike 10 miles in one hour or jogging 3 miles in 24 minutes.
Riding a bike
Find the value of x that makes the equation true.
10=2x-22
X=5
Solve the inequality.
2(x-3)≤ 3x-2
x≥ -4
Multiply the two binomials.
(x-9)(x-4)
x2-13x+36
Find the missing terms for the arithmetic sequence:
7, 3, -1, __, __, -13...
-5 and -9
Determine if the situation is linear, exponential, or neither.
Joan earns a salary of $30,000 per year plus a 4.25% commission on sales.
Exponential
True or false:
Arithmetic sequences are an example of linear functions.
True
Rewrite the equation in standard form.
y=(3/5)x-2
3x-5y=10
Find the greatest common factor for
17pqr and 51pqr3
17pqr
Write the explicit equation for the sequence.
x | y
1 | 3
2 | 9
3| 27
4 | 81
5 | 243
f(n) = 3n
Find the slope of the line that passes through these two points:
(-10,17) and (10,97)
*Think y2-y1/x2-x1
m=4
Your family is taking a road trip for spring break. The car is driving 78 miles per hour, and you have created the function d(t)=78t to model the progress you are making to reach your destination. If you write d(4)=78(4), what are you attempting to find?
The number of miles the car has traveled in 4 hours.
Determine if h=3 is a solution to 3/5 ≤ h * 1/5
Yes
In quadratic functions, the first difference is linear and the second difference is __________.
Constant