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.HSF.LE.B.5

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

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.7.EE.B.4A

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.7.EE.B.4B

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

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

• -5x + 7.5y = 60
• 5x + 7.5x = 60
• 5x - 7.5y = 60
• 5x + 7.5y = 60

Tags

CCSS.8.EE.C.8C

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?

• 1.5

• 200

• 0

• 20

Tags

CCSS.HSF.LE.B.5

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Which equation is represented by the algebra tiles in the picture shown?

• -4x + 7 = 2x - 5

• 7 + 4x = 2x + 5

• 4x + 7 = -2x + 5

• -4x - 7 = 2x + 5

Choose all of the following options that are possible first steps when solving

2(10 + 12x) = 3 + 9x

• Subtract 3 from both sides of the equation

• Distribute the 2 inside the parentheses to 12x

• Subtract 9x from the right side only

• Distribute the 2 inside the parentheses to 10

• Divide by 2 on both sides