Inequality Graphs and Word Problems

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year? 

• 3y > 63

• 3y < 63

• 3y ≤ 63

• 3y ≥ 63

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82

• 22 + 4n > 82

• 82 + 22n ≥ 4

• 22 + 4n < 82

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

• x/5.50 ≥ 5225

• 5.50x ≥ 5225

• x + 5.50 ≤ 5225 

• x - 5.50 ≤ 5225

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y < -1/2 x + 5

• y > -1/2 x + 5

• y > -1/2 x + 5

Select the correct graph for each inequality.

• A

• B

• C

• D

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Which of the following inequalities matches the graph?

• y ≤ 3/4x + 5

• y ≥ 3/4x + 5

• y < 3/4x + 5

• y > 3/4x + 5

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 2