System of Linear Inequalities Word Problems Part 1

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

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

6. 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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

• s > 36
• s < 36
• s ≤ 36
• s ≥ 36

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Gideon needs to collect at least 1,000 signatures for a petition to free all Koalas from zoos. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Aidan wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. Which inequality represents this situation?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3