Quiz about Solving/Interpreting Linear Inequalities in Two Variables

Question 1

Choose the correct inequality for this graph.

Accepted Answer

$$y\le\frac{2}{3}x+1$$

Answer

$$y<\frac{3}{2}x+1$$

Answer

$$y\le\frac{3}{2}x+1$$

Answer

$$y<\frac{2}{3}x+1$$

Question 2

Which shaded region in the diagram is defined by the linear inequality 2x - 5y < 10 ?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 3

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 4

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.

Which system of equations or inequalities model the situation?

Accepted Answer

15x + 20y > 300

x + y < 20

Answer

15x + 20y > 20

x + y < 300

Question 5

JoAnn likes her job as a baby-sitter (b), but it pays only $3 per hour. She has been offered a job as a tutor (t) that pays $6 per hour.
Because of school, her parents only allow her to work a maximum of 15 hours per week, but she needs to make at least $66 per week. Which system of inequalities below correctly models Joann's situation?

Accepted Answer

b + t < 15
3b + 6t > 66

Answer

b + t > 15
3b + 6t < 66

Answer

3b + 6t > 15
b + t < 66

Answer

3b + 6t < 15
b + t < 66

Solving/Interpreting Linear Inequalities in Two Variables

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