Linear Inequalities in Two Variables Word Problems

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400

• 700 + 125x ≤1,400

• 700x + 125 ≤1,400

• 125x - 700 ≤ 1,400

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

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Choose the correct inequality for this graph.

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

The diagram shows a shaded region that satisfies three inequalities. State an inequality other than x < 4 and y ≥ −x.

• x ≤ o

• x ≥ 0

• y ≤ 0

• y ≥ 0

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

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• The line would be dashed with shading below.