Graphing Linear Inequalities Word Problems

What is a system of linear inequalities that represents the problem.

Which ordered pair(s) is a solution to the given system?

• (5, -5)

• (0,0)

• (-5, -2)

• (3,-3)

Which inequality represents spending no more than $100 on books (x) and notebooks (y)?

• x + y ≤ 100

• x + y ≥ 100

• x + y < 100

• x + y > 100

When is a solid boundary line used in graphing an inequality?

• For inequalities with < or >

• When no solution exists

• For inequalities with ≤ or ≥

• When the inequality sign changes

• Solid line, shading below

• Solid line, shading above

• Dashed line, shading above

• Dashed line, shading below

• Total cost must be greater than $50

• Total cost cannot exceed $50

• Total cost is exactly $50

• Total cost is less than $50

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

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

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?

• 150c + 325d < 6,500

• 325c + 150d <6,500

• 150c + 325d ≤ 6,500

• 325c + 150d ≤ 6,500

Q1. What is the comparison operator for greater than?

• greater than

• less than

• less than or equal to

• greater than or equal to