What is the difference between a relation and a function?
A relation is any set of ordered pairs. A function is a relation in which no two ordered pairs have the same first coordinate.
100
The graph of a linear equation looks like a what?
A line.
100
What is the slope of a line?
Slope is a measure describing the tilt of a line, which you can calculate using the ratio vertical change/horizontal change or difference in y-coordinates/difference in x-coordinates or rise/run.
100
What is a scatter plot?
A graph that shows the relationship between 2 sets of data. It can help you find trends between sets of data.
100
What is a system of linear equations? And where is the solution for a system?
2 or more linear equations with the same variables. A solution of a system of equations is any ordered pair that makes each equation true. This is the point of intersection for the 2 lines.
200
What is the difference between the domain and range?
The domain of a relation is the set of first coordinates of the ordered pairs. The range is the set of second coordinates.
200
Find the solution of the following equation for x=-3, x=0, and x=2.
y = x + 5
y=2
y=5
y=7
200
What is the slope-intercept form of an equation? What variable represents slope? What variable represents the y-intercept?
y=mx+b
m is slope
b is the y-intercept
200
Using the graph on p.451, how long did the person who used 240 calories ride a bicycle?
30 minutes
200
Explain why it is possible for a system of linear equations to have no solutions.
The lines would be parallel lines. There slopes would be equal and they would never intersect. Therefore, there would be no more of intersection or a solution for the system.
300
Is this relation a function? Explain.
{(2,3), (4,3), (0,1), (-2,3)}
Yes, because the x coordinates never repeat.
300
Find the solution of the following equation for x=-3, x=0, and x=2.
y = -4x
y=12
y=0
y=-8
300
What is the slope of y-intercept of the following equation:
x + y = 7
m=-1
b=7
300
Using the graph on p.451, how many calories did the person who bicycled 50 minutes use?
Any answer in the low 600's is acceptable.
300
Explain why it is possible for a system of linear equations to have infinitely many solutions.
When 2 equations are the same line, that means that they cross in an infinite number of place and that the solution to the system is an infinite number.
400
Is this relation a function? Explain.
{(-3,0), (4,2), (-1,0), (-4,1)}
Yes, because the x coordinates never repeat.
400
Find the solution of the following equation for x=-3, x=0, and x=2.
y = (1/2)x + 3
y=-9/2
y=3
y=4
400
Identify the slope and y-intercept of the following equation:
x - y = -2
m=1
b=2
400
Is there a positive correlation, a negative correlation, or no correlation between the time spent bicycling and the calories used? Explain.
There is a positive correlation because as x increases, y increases and as x decreases, y decreases.
400
Solve the system by graphing:
y = (1/2)x - 3
y = (-1/2)x + 1
(4, -1)
500
Is the amount of a long-distance telephone bill a function of time spent talking on the telephone? Explain.
Yes, the amount of a long-distance telephone bill is dependent on the time spent talking on the telephone.
500
Find the solution of the following equation for x=-3, x=0, and x=2.
y = 6 - 2x
y=12
y=6
y=2
500
Find the slope of a line that has these two points: (1,5) and (0,2).
m=3
500
What is the difference between a negative correlation and no correlation?
A negative correlation is when the x increases and the y decreases or vice versa. No correlation means that there is no relationship at all between the x-coordinates and the y-coordinates.
500
Solve the system by graphing:
y = x - 5
y = -2x + 1