Writing Inequalities from word problems

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

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Tags

CCSS.HSA.REI.D.12

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

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Let h represent the number of hours a student volunteers.

• h < 5

• h > 5

• h ≥ 5

• h ≤ 5

• h = 5

Tags

CCSS.6.EE.B.8

Yellow Cab Taxi charges $5 per mile for a ride. Let y represent the amount they charge.

• y > 5

• y < 5

• y ≤ 5

• y ≥ 5

• y = 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

• a > 15

• a < 15

• a ≤ 15

• a ≥ 15

• a = 15

Tags

CCSS.6.EE.B.8

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

• k > 12

• k < 12

• k ≥ 12

• k ≤ 12

• k = 12

Tags

CCSS.6.EE.B.8