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Transcript
Practice Test Two, Math 1300
1.
State the midpoint formula. Using it, find the midpoint of the segment with
3 
1 1
1
endpoints  ,  and  , .
3 4
 12 20 
2.
What is the slope of the line through the points (1, 5) and (3, 7)?
3.
What is the slope of the line with equation 3x – 6y = 12?
4.
Give an example of two parallel lines; one with y intercept 5 and one passing
through the point ( – 1, – 1). Put the equations in slope intercept form. (note:
you get to choose the slopes). Why are you sure they’re parallel?
5.
What do you know about lines that intersect at angles other than ninety degrees?
Give an example of two such lines writing the equations for them in general form.
6.
Two lines are parallel if their slopes multiply to –1. This is a true statement. Why
is it true? Show by an example that you understand this way of expressing the
situation.
7.
Write an equation in general form for the line that passes through (1, 2) and
( – 2, – 5). Be sure to follow the convention that the coefficient of x is a natural
number.
8.
72 
 60 

Find the following facts about the line that passes through 1,  and   1 , .
11 
 11 

A.)
B.)
C.)
D.)
E.)
F.)
G.)
H.)
the slope
the equation in point slope form
the equation in general form
the equation in slope intercept form
the x intercept in point coordinates
the y intercept in point coordinates
the slope of any parallel line
the slope of any perpendicular line
9.
Find the following values:
A.)
For f (x)  x 3  4x 2  3x  1. find f ( – 1).
B.)
For f (x)  7  x , find f (– 3).
C.)
For f ( x )  x 2  x , find f (– 2)
D.)
For f ( x ) 
1
, find f (3).
x2
10.
Write the equation in general form of the line that passes through (– 2, 5) and is
parallel to the line y = 8x + 7.
11.
Write the equation in slope intercept form of the line that passes through the point
(– 6, 3) and is perpendicular to the line 3x + y = – 12.
12.
Graph the following. Find the domain and range. If the relationship is a function
be sure to say so and tell how you know (hint: passes or fails the VLT)
13.
14.
A.
{ (– 2, 5), ( 4, 5), (6, 7), }
B.
{ ( 0, 2), ( 0, 4), (– 1, 5), (– 1, 7), ( 7, 15)}
Solve each inequality. Give the result interval notation and graph the solution set.
A.
2
4
( x  2)  ( x  8)
3
6
B.
 12(2  x )  4(2x  1)
Given the following set of points, what is the domain and what is the range?
{ (2, 1), ( 1, 3), (5, 1), (9, 11), (0.5, 2)}.
Graph the points and tell which quadrant each point is in.
Is this a function? how can you tell?
15.
Which of the following are functions? How do you know?