Framing/writing linear inequalities in two variables

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck cost $31.50. Write an inequality that represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

•  $42x+31.5y\ge800$ 

•  $42x+31.5y\le800$ 

•  $42x+31.5y<800$ 

•  $42x+31.5y>800$ 

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least $23. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

• 4𝑥 + 7𝑦 ≥ 23

• 4𝑥 + 7𝑦 ≤ 23

• 4𝑥 + 7𝑦 > 23

• 4𝑥 + 7𝑦 < 23

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• THE BEACH

• AN AMUSEMENT PARK

• THE LAKE

• THE MOUNTAINS

• TO GO VISIT FAMILY

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

•  $14t+5b\le1000$ 

•  $14t+5b\ge1000$ 

•  $14t+5b<1000$ 

•  $14t+5b>1000$ 

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

• 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