Download Algebra II Unit 2 Review Name Solve Each Inequality. Graph the

Algebra II Unit 2 Review
Name ________________________________
Solve Each Inequality. Graph the solution on the number line.
1. │ 2x-2 │+ 5 < 11
2. │x+13│> 9
Solve the system of 3 variables.
3.
4a + 3b + c = -17
a – 3b + 2c = -15
11a = 2b – 3c -58
4.
8x – y + z = -3
4x + 2y -3z = 7
x – 3y + 2z = -8
Solve the situation. Correctly identify solutions.
5. A stadium has 51,000 seats. Seats sell for $25 in Section A, $20 in Section B, and $15 in Section C. The
number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium
takes in $1,093,500 from each sold out event. How many seats does each section hold?
Graph the solution set to the system of inequalities.
6. y > 4
Y < x+1
7.
Y ≤ -5x -5
y≥x+5
8.
X + 4y ≤ 8
y>x-9
Solve the Linear Programming problem.
9. A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant
manufacturing data are given in the table.
Department
Fabricating
Finishing
Labor-Hours per Ski
Trick Ski
Slalom Ski
6
4
1
1
Maximum Labor-Hours
Available per Day
132
30
If the profit on a trick ski is $40 and the profit on a slalom ski is $50, how many of each type of ski should
be manufactured each day to realize a maximum profit? What is the maximum profit?
a. Identify your variables.
b. Write a system of constraints.
c. Graph the restraints.
d. Identify vertices of the system.
e. Write a function to be maximized/minimized.
f. Determine which vertex yields the maximum/minimum.
g. Interpret the solution to the problem. (Should be in sentence form)