Writing Linear Inequalities

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240
• x + 2y > 240
• x + 2y ≤ 240
• x + 2y ≥ 240

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.

• 225x +175y ≤ 21,000
• 225x +175y ≥ 21,000
• 225x +175y < 21,000
• 225x +175y > 21,000

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Write an inequality that represents this situation.

•  $6s+2b>120$ 

•  $6s+2b<120$ 

•  $2s+6b≤120$ 

•  $2s+6b≥120$ 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school would like to sell 3 senior citizen tickets and 2 child tickets for a total at least $42. Write an inequality that represents this situation.

•  $3s\ +\ 2c\ >42$  

•  $3s\ +\ 2c\ <42$  

•  $3s\ +\ 2c\ \le42$  

•  $3s\ +\ 2c\ \ge42$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

You receive an $80 gift card to the bookstore. Hardback books cost $8 and paperback books cost $4. Write an inequality that represents this situation.

• $8h+4p\le80$

• $8h+4p<80$

• $8h+4p\ge80$

• $8h+4p>80$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

A catering company has small tables and large tables. Small tables seat 4 people and large tables seat 6. They are planning a party for at least 100 guests. Write an inequality that represents this situation.

• $4s\ +\ 6l<100$

• $4s\ +\ 6l\le100$

• $4s\ +\ 6l>100$

• $4s\ +\ 6l\ge100$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

The fair is in town and you have earned $50 from math tutoring and want to go. If each ride is $2.50 and each game is $2. Write an inequality that represents this situation.

• $2.5r+2g<50$

• $2.5r+2g\ge50$

• $2.5r+2g\le50$

• $2.5r+2g>50$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3