Operations statistics
1. Determine which of the following is a linear equation and which is not a linear equation. State the reason for your answer.
(a) 2x + 3y + 2z = 10
(b) 4xy + 5yz + xz = 220
(c) 2y + 4z = 75
(d) x2 + y2 + z2 = 60
2. Determine which of the following is a linear inequality and which is not a linear inequality. State the reason for your answer.
(a) 4x3 + 2y2 + 3z4 < 10
(a) 5x + 6y > 30
(c) 2xy + 3yz – 4xz > 20
(d) x + 3y – 4z < 15
3. Find the slope, the y-intercept, and the x-intercept of the linear equation 5x – 3y = 30.
4. Find the solution set for the linear inequality 4x + y < 24.
5. Solve the following system of equations using the method of elimination.
3x + 2y = 100
2x + y = 60
6. Solve the following system of equations using the method of substitution.
3x + 2y = 100
2x + y = 60
7. Find the feasible region for the following system of inequalities.
x + y > 4
3x + 4y < 24
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 or take a photo and post it with your answer.
OR
Draw the graph by hand on a paper and describe the graph in words in your answer.
