Sequences
Which sequence is arithmetic?
A. 4, 8, 16, 32, 64,...
B. 11, 12, 14, 17, 21, ...
C. 28, 15, 2, -11, -24, ...
D. 30, -25, 20, -15, 10, ...
C. This sequence is decreasing with a constant difference of -13.
Explain in words: Why does a system of parallel lines have no solution?
Explain in words: What does in mean for a point to be an "outlier" in the set of data?
An outlier is a point that differs significantly (lies outside of) the rest of the data
Find the slope of the linear function represented by the equation y = (1/8)x - 2
m = 1/8
Which property is used in the equation
mg + mh = m(g+h)
distributive property
What is the 7th term in this sequence?
1.5, 4.5, 13.5, 40.5,...
1093.5
Danielle wants to solve the following system of equations using elimination. What would be the best first step?
3x-y=5
2x+3y=10
multiply the first equation by 3
What is a line of best fit used for?
A. To connect the points in a scatter plot
B. To make predictions about the data in a scatter plot
C. To make the graph look nice
B. To make predictions
If f(x) = 3x-5, find f(7)
f(7) = 16
What is the value of p when 2p+10=24?
p=7
What is the 9th term of the arithmetic sequence defined by the explicit formula f(x) = 2(x-1)-14
f(9) = 2
If you solve a system of equations using substitution and get the result 12 = -4, what does this say about the number of solutions the system has?
This system has no solution.
answers may vary... positive trend and points close together
What type of function always has a constant rate of change, and when graphed makes a straight line?
A linear function
When graphing a sequence, do not connect the points. What do we call these types of graphs, where the points are distinct and separated rather than connected?
Discrete graphs
What is the common ratio of the sequence 125, 25, 5, 1, .... ?
r = 1/5
Convert the standard form equation 6x-2y=16 into slope-intercept form (y=mx+b)
y=3x-8
The letter 'r', which represents the strength of the relationship between x and y, is called the _____________ coefficient.
The letter 'r', which represents the strength of the relationship between x and y, is called the CORRELATION coefficient.
Write an equation in point-slope form for the line with a slope of 0.75 that passes through the point (5,12).
y-12=0.75(x-5)
What shapes do the graphs of absolute value functions make?
v-shape
Write an explicit equation for this sequence:
-1, -7, -13, -19, -25,...
f(x) = -6x+5 or a(n) = -6n+5
What will be the slope of any line that is PERPENDICULAR to the line y = (1/2)x + 3
m = -2
(opposite reciprocal of 1/2)
A baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is
y=0.32x-20.51.
where x = is the number of times at bat
and y = the number of hits.
How many hits should he expect from a player who is at bat 175 times?
35 hits
An equation is shown: |2x-4| = 6
This equation has two solutions. One solution is x=5. What is the other solution?
x=-1
This is found when solving 2x-4 = -6
Write an equation in slope-intercept form for the line that passes through the point (2, -1) and is parallel to the line y=5x-2.
y = 5x - 11