Download Algebra II SOL Review #3

Algebra II SOL Review #3
Topics up to/including Linear Programming
Name: ______________________________
Date: ______________________________
Everything on this review is a topic we have covered. Please put your best effort into it. Even though it
is multiple choice, show your work or jot down notes on how you worked the problems. This way you
know what you are doing wrong and when we start really reviewing for the SOL test you will have some
examples to jog your memory and remind you that we really did do this once!!!! Good luck and do your
best.
1.
Which equation best describes the graph?
a.
2.
b.
y  x 1
c.
y  x3
d.
y  x
Find the maximum profit of P  200x  300y subject to these constraints:
3 x  y  9

y  6
x  2

f.
3.
y  x2
$1,900
g.
$1,300
h.
$2,200
j.
$2,000
Identify the vertices of the region bounded by these inequalities:
 x  2
 y  1


y  3
 x  5
a.
c.
(3, 4), (2,  5)
(3,  2), (1,  5)
b.
d.
(2,  1), (3,  5), (2,  1), (5, 3)
(2,  1), (2, 3), (5,  1), (5, 3)
4.
5.
1
2
Solve the inequality: 5  x 
f.
4 x5
g.
h.
9
11
x
2
2
j.
9
9
x
2
2
9
x  or x  5
2

The graph of the linear programming model consists of polygon ABCD and its interior.
Under these constraints, which is the point where the maximum value of 3 x  2 y occurs?
B
C
x
A
D
y
a.
6.
A
b.
B
Solve:  2 x  1  14
f.
x  6 or x  8
h.
x  8 or x  6
c.
C
g.
j.
8  x  6
x  6 or x  8
d.
D
7.
Identify the true statement for real numbers.
a.
If x  3  12 then x  12  3
b.
c.
If x  3  12 then x  3  2  12  2 d.
If x  3  12 then x  3  4  12  4
If x  3  12 then 2( x  3)  2(12)
8.
Which is a false statement?
f.
Every integer is a rational number.
h.
Every integer is a real number.
Every whole number is an integer.
Every rational number is an integer.
9.
10.
g.
j.
Find the range R of f ( x)  3x  4 if the domain D  1, 2, 3.
a.
R  0, 2, 5 b.
R  1, 2, 5 c.
R  1, 2, 5
d.
R  2, 5, 7
If f ( x)  3x 2  2 , find f (5) .
f.
g.
75
 73
j.
 65
h.
77