Quiz about Unit 2: Graphing Systems of Inequalities Test Review

Question 1

Would this inequality be a solid line or a dashed line?

Accepted Answer

Dashed

Answer

Solid

Question 2

Would this inequality be a solid line or a dashed line?

Accepted Answer

Solid

Answer

Dashed

Question 3

Would you shade above or below the line for this inequality?

Accepted Answer

Shade Above

Answer

Shade Below

Question 4

Would you shade above or below the line for this inequality?

Accepted Answer

Shade Below

Answer

Shade Above

Question 5

Identify a solution to the following system of inequalities.

Accepted Answer

(4, 2)

Answer

(0, 0)

Answer

(2, 1)

Answer

(0, 4)

Question 6

Identify a solution to the following system of inequalities.

Accepted Answer

(2, -2)

Answer

(0, 2)

Answer

(-2, -2)

Answer

(4, 4)

Question 7

Select the correct graph that represents the following system of inequalities.

$$y\ge-\frac{3}{5}x+1$$

$$y\le2x-2$$

Accepted Answer

Question 8

Select the correct graph that represents the following system of inequalities:

$$y\le-\frac{1}{3}x+4$$

$$y>2x-3$$

Accepted Answer

Question 9

Convert the following inequality to slope-intercept form:

$$9x+3y>3$$

Accepted Answer

$$y>-3x+1$$

Answer

$$y>-9x-0$$

Answer

$$y>-1x+\frac{1}{3}$$

Answer

$$y>3x-1$$

Question 10

Convert the following inequality to slope-intercept form:

$$-2x+3y\le6$$

Accepted Answer

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

Answer

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

Answer

$$y\le\frac{3}{2}x-2$$

Answer

$$y\le\frac{3}{2}x-3$$

Question 11

What would you graph first for the following inequality?

$$y>-2x+6$$

Accepted Answer

Question 12

After you graph the y-intercept for this inequality, what would you do next?

$$y>-2x+6$$

Accepted Answer

Use the slope of -2 and go down 2, over 1 to make more points.

Answer

Use the slope of 6 and go up 6, over 1 to make more points.

Answer

Plot the x-intercept of -2 and draw a line

Answer

Plot the x-intercept of 6 and draw a line

Question 13

The line for this inequality would look like which graph below?

$$y>-2x+6$$

Accepted Answer

Question 14

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.

Let x = number of adults and y = number of children

Accepted Answer

$$x+y\le300$$
$$7.5x+5.5y\le2000$$

Answer

$$x+y\le300$$

$$7.5x+5.5y\ge2000$$

Answer

$$x+y<300$$
$$7.5x+5.5y\ge2000$$

Answer

$$x+y>2000$$
$$7.5x+5.5y\le300$$

Unit 2: Graphing Systems of Inequalities Test Review

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