Framing/Writing Linear Inequalities in Two Variables

Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

• 14x + 5y ≥ 1000

• 14x + 5y < 1000

• 14x + 5y  ≤ 1000

• 14x + 5y > 1000

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift. Write an inequality that describes the situation. Let x = # of apples Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y > 24

• 3x + 2y ≤ 24

• 3x + 2y ≥ 24

Which inequality represents this situation? A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the cost under $1000

Michael is selling chocolate bars and orange juice in a carnival. Chocolate bars sell for RM2.50 each, and orange juice sell for RM3.50 each. If Michael wants to get more than RM150, write an inequality showing the number of chocolate bars, b, and the number of orange juice, j, he must sell.

• 2.50b + 3.50m > 150

• 2.50b + 3.50m <150

• 2.50m + 3.50b > 150

• 2.50m + 3.50b <1

When creating a linear inequality, what is the second step?

• Find the total

• Identify the inequality for the total

• Identify the variables and the quantity associated (x = & y =)

• Write the inequality

The technology administrator is buying monitors for $200 and keyboards for $55. He does not want to exceed $4,000 in this purchase. Which inequality represents all the combinations of monitors, x, and keyboards, y?

Brian mailed Christmas presents late to his family.  To send boxes it cost $7.50 each and $0.45 per letter. He can’t spend more than $40 to mail everything.  What inequality represents the number of boxes, B, and letters, L, that he can send?

• 7.50B + 0.45L < 40

• 7.50L + 0.45B < 40

• 7.50B + 0.45L > 40

• 7.50L + 0.45B > 40

Write the linear inequality in standard form for this situation: The LHS Social Studies department can spend no more than $2700 on textbooks this year. The department needs to buy both U.S. History text books, which cost $57 each, and World History textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

During a sale, all headphones cost $26 and all cell phone cases cost $14. Derrick is buying these products as gifts for his friends plans to spend at least $150.

• 0 headphones & 11 phone cases

• 3 headphones & 4 phone cases

• 2 headphones & 5 phone cases

• 6 headphones & 2 phone cases

• 1 headphone & 7 phone cases

male students and y female students are participating a motivation camp. Which of the following linear inequalities is correct?

• At least 50 students are participating the camp, x + y > 50

• The number of female students exceeding the number of male students is not more than 5, y − x ≤ 5

• At most 30 female students are participating the camp, y ≥ 30

• The number of female students that are participating the camp is more than the number of male students, x ≥ y