# CUA _3 Review - hcisd.org by xiuliliaofz

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```									CUA Unit 3 Exam Review                                   Name_________________________________

Algebra 2                                                Period_____ Date______________________

1. [3.1] Graph each system in order to determine the solution of each system below.

y  8  2x                      y  4 x  8
A.                             B.                                   C.
4 x  2 y  16                  8 x  2 y  16
y  4 x  8
Solution:_____________________Solution:_____________________
8 x  2 y  16
Solution:_____________________

2. [3.2] Solve each system below using                   3. [3.2] Solve the system below using
the substitution method only.                            the elimination method only.
3x  2 y  5    2 x  4 y  2                                     5 x  8 y  3
A.                 B.
6 x  y  16    x  6 y  17                                        2x  3y  5

4. Graph the system of inequalities. 

2
y  4 x
3
2 x  5 y  10

2 x  6 y  z  16
5. Solve by Gaussian elimination. 3 x  7 y  4 z  27
x  y  z 1

Solution:      (           ,            ,         )
6. A farmer can plant up to 8 acres of land with wheat and barley. He can earn
\$5,000 for every acre he plants with wheat and \$3,000 for every acre he plants
with barley. His use of a necessary pesticide is limited by federal regulations to 10
gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre
planted and barley requires just 1 gallon per acre. (Include Objective Function and
Constraints.)

```
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