Linear Inequalities Situation

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10

• 3.33v + 10 > 2v 

• 3.33v < 2v + 10

• 3.33v + 10 < 2v

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

• x/5.50 ≥ 5225

• 5.50x ≥ 5225

• x + 5.50 ≤ 5225 

• x - 5.50 ≤ 5225

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

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

Sarah receives a $350 gift card to use at Nike store. She buys a pair of shoes for $175 and 8 pair of socks. She does not use the entire amount in the gift card. Which inequality can be used to find the price in dollars d of each pair of socks?

• 350 + 8d < 175

• 175 + 8d < 350

• 175d + 8 < 350

• 350 - 8d < 350

Which color is the solution region to this system of inequaliteis?

• White

• Blue

• Purple

• Red

Which coordinate point is a solution to the system of inequalities?

• (o,o)

• (2,2)

• (1,-3)

• (4,-1)