Solving Systems of Inequalities Through Word Problems

What is the first step in solving systems of inequalities?

• Graphing the inequalities

• Identifying possible solutions

• Writing the system from the given situation

• Converting to slope-intercept form

In the flour and cornmeal example, what is the cost per pound of cornmeal?

• $1.50

• $4.00

• $2.50

• $3.00

What does the inequality X + Y ≥ 6 represent in the flour and cornmeal example?

• The cost per pound of flour

• The cost per pound of cornmeal

• The total weight of flour and cornmeal

• The total cost of flour and cornmeal

After converting the inequalities to slope-intercept form, what is the inequality for the cost constraint?

• Y < -3/5X + 10

• Y > -3/5X + 10

• Y < -X + 6

• Y > -X + 6

Which of the following is a possible solution for the flour and cornmeal problem?

• 10 pounds of flour and 5 pounds of cornmeal

• 6 pounds of flour and 3 pounds of cornmeal

• 5 pounds of flour and 1 pound of cornmeal

• 2 pounds of flour and 4 pounds of cornmeal

In the perch and salmon example, what is the cost per pound of perch?

• $2.50

• $3.00

• $5.00

• $4.00

What is the inequality for the total weight of fish in the perch and salmon example?

• X + Y ≤ 50

• X + Y ≥ 50

• 4X + 3Y ≤ 240

• 4X + 3Y ≥ 240

Which of the following is a valid solution for the perch and salmon problem?

• 15 pounds of perch and 25 pounds of salmon

• 20 pounds of perch and 30 pounds of salmon

• 10 pounds of perch and 20 pounds of salmon

• 30 pounds of perch and 10 pounds of salmon

What should students do first when solving their own problem?

• Convert to slope-intercept form

• Graph the inequalities

• Write the let statements

• Identify possible solutions

What is the final step in solving the problems on their own?

• Write two possible solutions

• Graph the system

• Write the let statements

• Highlight important information