Download Problem Set 2

Algebra 2
Problem Set #2
Mr. Lynch
Name: ________________________________________________ Date: ___________
Period: _________
You will have one week to complete this problem set and it will be due on Friday, January 8th, 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.
3x  y  6
1.) Solve the system by substitution
3x  5y  12
and
3x  2 y  6  0
2.) Solve the system by linear combination:
5 x  3 y  9 0

3.) Graph the system of inequalities:
y  3x  3
3y  x  3
4.) Solve the equation by finding the roots.
a.) ( y  7) 2 (2 y  3)  0
b.) (2t  2)(3t  5)  0
5.) Factor.
a.) y 2  5 y  14
d.) 3x 2  17 x  6
g.) r 2  18r  81
b.) x 2  3x  88
e.) 7 x 2  18 x  9
c.) t 2  23t  90
f.) 36 x 2  144
6.) Solve the equation by factoring.
a.) x 2  32  4 x
b.) 5 x 2  29 x  6  0
c.) 4 x 2  9  0
7.) Evaluate the expression.
25
a.)  169
b.)
49
d.)  0
e.)
b 2  4ac for a = 3, b = 3, and c = -6
c.)
8.) Use a calculator to evaluate. Round to two decimal places.
12  2 12  13
3 2 5
a.)
b.)
3
4
81
c.)
9.) Solve the equation. If possible, leave answers in radical form.
a.) z 2  100
b.) 5 x 2  125  0
c.) x 2  7  13
52 6
d.) 3 y 2  4  11
10.) Simplify the expression. If possible, leave answers in radical form.
28
a.) 98
b.) 112
c.) 6
d.)  288
9
2
5
32
99
e.)
f.) 35  14
g.) 5 8
h.)
3
50
 
11.) Solve using the quadratic formula.
a.) 3 x 2  3 x  3
b.) x 2  6 x  3  0
12.) Use the discriminant to determine the number of solutions.
b.) x 2  3x  4  0
b.) 4 x 2  16 x  16  0
c.)