Linear Inequalities

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

• x + y < 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y > 20

• x + y < 10

  2x + 3y > 20

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

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

• Yes because it is located on the line.

• No because it is in the shaded region.

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Select the graph for 5x+ y ≤  -1 .

• A

• B

• C

• D

Select the correct graph for each inequality. y≤ -¾x -1

• A

• B

• C

• D

Choose the correct inequality for this graph.

• 
• 
• 
• 

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

• (3, 4)

• (3, 0)

• (2, 1)

• (1, 1)

Which graph best represents the following inequality?

• 
• 
• 
• 

How can I tell if the graph of an inequality will have a solid line?

• It has just an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.