Solving/Interpreting Linear Inequalities in Two Variables

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

• It has an equal sign.

• The symbol has "or equal to".

• The symbol is greater than or less than.

• You just guess.

If the inequality symbol is ≤ or ≥, the line will be ___________.

• solid

• dotted

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

• solid

• dotted

Which point below is NOT part of the solution set?

• (0,0)

• (-10,20)

• (3,5)

• (3,0)

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

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

• No, it is located in the shaded region.

• Yes, it is located in the shaded region.

• Yes, it is located on the line.

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

• The line would be solid with shading above.

• The line would be dotted with shading above.

• The line would be solid with shading below.

• None of the above

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

• Yes

• No

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

• 1.50c + 3.25d < 65.00

• 3.25c + 1.50d <65.00

• 1.50c + 3.25d ≤ 65.00

• 3.25c + 1.50d ≤ 65.00

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

• x+y ≤ 300

  7.5x+5.5y ≥ 2000

• x + y < 300

  7.5x + 5.5y ≥ 2000

• x+y ≤ 300

  7.5x+5.5y ≤ 2000

• x+y > 2000

  7.5x+5.5y ≤ 300

A group of friends will buy at most 8 snacks at the movie theater and spend no more than $42.  They will pay $4 for each box of candy and $7 for each tub of popcorn.  The system of inequalites that represents the situation is:
x + y <= 8 
4x + 7y <= 42 
Which combination of candy and popcorn can the group buy? 

• 2 boxes of candy and 6 bags of popcorn 

• 3 boxes of candy and 4 bags of popcorn

• 5 boxes of candy and 4 bags of popcorn

• 8 boxes of candy and 1 bags of popcorn