Download Problem Set 1

Algebra 2
Problem Set #1
Mr. Lynch
Name: ________________________________________________ Date: ___________
Period: _________
You will have one week to complete this problem set and it will be due on Friday, October 28, 2016.
You may ask me or another student a question about this problem set, but all work turned in should be your own
and on a separate sheet of paper. If you received any help from someone you must give credit to that person
by letting me know on which problem you received the help. (Ex: #3: I received help from Bobby Lynch on
this part of the problem). Also, let me know if you worked together in a group and with whom.
Please complete the problems on a separate sheet of paper.
1.) Evaluate the expression for the given value of the variable
x8
a.)
when x = 4
x
b.) x 3  3x  3 when x = -2
2.) Solve the equation
1
x  15  20
3
3.) Write the equation of the line in slope-intercept form.
a.) Through point P(-3,6) and has slope m = -5
b.) Through the point (-1,-7) and the point (-2,1)
4.) Solve the inequality and graph the solution on a number line:
4(2  x)  (1 2x)  5(1 x)
5.) Solve and graph the absolute value inequality on a number line. Hint: Isolate then break apart!

a.) 4 x  1  21
b.)
 2  6 x  1  5
6.) Find the equation of the line in standard form that goes through the point P(1, -2) and is perpendicular
to the line 2 x  6 y  3 .
7.) y varies directly as x. If y = - 4 when x = 3, find x when y = 8.
Note: Numbers 8 and 9 can be completed on this page.
8.) Graph the following:
a.)
b.) y  
4 x  3 y  15
1
x4 2
3
9.) Sketch the scatterplot and find the equation of the linear regression:
Be sure to label your axes and your variables!
It is believed that taller sprinters can run faster. Below is a list of six runner’s heights in inches and their
100 meter sprint times in seconds.
Height
(inches)
100 meter time
(Seconds)
64
78
71
75
68
69
11.6
10.2
10.5
10.6
11.0
10.9
a.) What is the equation of the linear regression?
Label your variables.
b.) What type of correlation exists? Explain in the context
of this situation in a sentence.
c.) Using your linear regression, predict the time of a runner
who is 72 inches tall.
d.) Using your linear regression, predict the height of a runner
who can run 100 meters in 10.7 seconds.