Please show all work when doing the work,

you can do it hand written and make sure to use one color pen or pencil

College Algebra

Chapter 6 Test

St. Amand

Name___________________________

April 29, 2020

Show all work in a neat organized manner using pencil. Place answers on the line

provided.

1. Solve the following system using matrices. You must clearly indicate your row

operations. Write your answer as an ordered triple

𝑥 + 2𝑦 + 3𝑧 = 0

{ 2𝑥 + 2 − 3𝑧 = −4

−3𝑥 + 4𝑦 + 6𝑧 = 10

1.________________________________

2. Set up the partial fractions needed to decompose the following ratio. Do NOT solve.

5𝑥+4

(𝑥+4)(𝑥−3)2 (𝑥 2 +3)3

2._________________________________

3. Four cheeseburgers and two shakes cost a total of $10.74. Two shakes cost $0.29

more than one cheeseburger. Define unknowns, solve your system and find the cost

of one shake.

Define unknowns precisely:

System and work to solve your system:

3._________________________________

4. Find the partial fraction decomposition for

𝑥+3

and show your check

(𝑥−1)(𝑥 2 +3)

4.__________________________________

CHECK:

5. Solve the following non-linear system of equations using the method of your choice.

𝑥 2 + 𝑦 2 = 10

{

𝑥𝑦 = 3

5.__________________________________