# Review of Linear Algebra Problems

For this discussion topic each student is required to have at least 2 postings: One answering at least one of the questions and a second responding to another student’s posting. Please select a question that has not been answered by the time you post your response. You can select any question to answer once all questions are answered. Please do not copy another student’s posting.

This discussion will close at midnight Sunday, September 9^{th}, 2018.

1. Determine which of the following are linear equations and which are not linear equations. State the reason for your answer.

(a) x + y = 1000

(b) 3xy + 2y + 15z – 20 = 0

(c) 2xy + 4yz = 8

(d) 2x + 3y – 4z = 6

2. Determine which of the following are linear inequalities and which are not linear inequalities. State the reason for your answer.

(a) x + y + z __>__ 1000

(b) 4x^{2} + y^{3} + z^{4} __<__ 0

(c) 2xy – 4z > 8

(d) 2y + 3z – 4x < 6

3. Find the slope, the y-intercept, and the x-intercept of the linear equation 4x – 3y = 10.

4. Find the solution set for the linear inequality 4x + y __<__ 12.

5. Solve the following system of equations using the method of elimination.

3x + 2y = 10

x + 3y = 8

6. Solve the following system of equations using the method of substitution.

3x + 2y = 10

x + 3y = 8

7. Find the feasible region for the following system of inequalities.

x + y __>__ 2

3x + 4y __<__ 12

**Note:** Some of the questions above require drawing graphs. Here is a list of options for you to include a graph in your answer.

Draw the graph using MS Paint or CorelDraw or some other software. Copy the graph in a MS Word file and post the file on the course website in appropriate category.

OR

Draw the graph by hand on a paper, scan it and post it with your answer.

OR

Draw the graph by hand on a paper and describe the graph in words in your answer.