Writing & Solving Linear Equations and Inequalities

Mr. Cabs has a gold membership at the local pet store to buy cheap mice to feed to his iguanas. The function y = 50 + 0.75x can be used to find the cost of purchasing the gold membership and buying x mice from the store. Based on this information, which statement about this situation is true?

• The y-intercept represents the number of mice Mr. Cabs purchased from the store.

• The slope of the line represents the cost of purchasing the gold membership.

• The y-intercept represents the cost of purchasing the gold membership.

• The slope of the line represents the total number of mice purchased by Mr. Cabs.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

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. Which inequality below represents this situation?

• 57x + 72y ≥ 2700

• 57x + 72y = 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

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. Which inequality below represents this situation?

• 14x + 5y ≥ 1000

• 14x + 5y < 1000

• 14x + 5y ≤ 1000

• 14x + 5y > 1000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

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. Which inequality represents this situation?

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400
• 700 + 125x ≤1,400
• 700x + 125 ≤1,400
• 125x - 700 ≤ 1,400

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?

• 2.5 hours
• 4.5 hours
• 7.5 hours
• 10.5 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

331 students went on a field trip. Six buses were filled with students and 7 students traveled in cars. How many students were in each bus?

• 54

• 45

• 56

• 65

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8