Quiz about Solving/Interpreting Linear Inequalities in Two Variables

Question 1

Choose the correct inequality for this graph.

Accepted Answer

$$x>-2$$

Answer

$$y>-2$$

Answer

$$y\ge-2$$

Answer

$$x\ge-2$$

Question 2

Consider the function y < 2x + 3, which of the following is true?

Accepted Answer

The line would be dashed with shading below.

Answer

The line would be solid with shading above.

Answer

The line would be dashed with shading above.

Answer

The line would be solid with shading below.

Question 3

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 4

For this symbol,
$$\le$$
do you shade above or below the line?

Accepted Answer

Question 5

Choose the correct inequality for this graph.

Accepted Answer

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

Answer

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

Answer

$$y<3x+1$$

Answer

$$y\le3x+1$$

Question 6

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 7

Is the point (1, 2) a solution for the following inequality?

Accepted Answer

Yes, it is located in the shaded region.

Answer

No, it is located on the line and the line is dotted.

Answer

No, it is located in the shaded region.

Answer

Yes, it is located on the line.

Question 8

Which graph represents the inequality, $$y\ \le\frac{7}{3}x-2$$ ?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

How can you tell if an inequality will have a dotted line?

Accepted Answer

The symbol is greater than or less than.

Answer

It has an equal sign.

Answer

The symbol has "or equal to".

Answer

You just guess.

Question 10

If the inequality symbol is < or >, the line will be _________.

Accepted Answer

dotted

Answer

solid

Question 11

Which point below is NOT part of the solution set?

Accepted Answer

(3,0)

Answer

(0,0)

Answer

(-10,20)

Answer

(3,5)

Question 12

Consider the inequality, y < 2x + 3. Which is true?

Accepted Answer

None of the above

Answer

The line would be solid with shading above.

Answer

The line would be dotted with shading above.

Answer

The line would be solid with shading below.

Question 13

Is (0,0) a solution to the inequality, y > -x +1?

Accepted Answer

No

Answer

Yes

Question 14

Which point below is part of the solution set?

Accepted Answer

(1,3)

Answer

(0,-2)

Answer

(3,-4)

Answer

(8,1)

Solving/Interpreting Linear Inequalities in Two Variables

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