Linear Equations/Inequalities Extra Credit

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

• y=1.5+20x

• y=1.5x + 20

• y = 20x + 1.5

• y= 21.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40
• y = 40x + 150
• y = 150x + 40

Tags

CCSS.5.OA.B.3

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

• 47
• 58
• 69
• 113

Tags

CCSS.7.EE.B.4A

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

Tags

CCSS.HSA.CED.A.3

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

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.3

CCSS.HSA.CED.A.2

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.3

CCSS.HSA.CED.A.2

Check all of the boxes that are solutions to the linear inequality:

 $y>2x+1$  

•  $\left(-7,\ 8\right)$  

•  $\left(0,\ 4\right)$  

•  $\left(5,\ -2\right)$  

•  $\left(7,\ 5\right)$  

Answer explanation

(5, -2) & (7, 5) are not in the shaded area

Which ordered pairs are in the solution set of the linear inequality below? Select all that apply.

 $y>\frac{2}{3}x-3$  

• (6,-4)

• (3,9)

• (3,-1)

• (-3,-3)

• (-9,0)

Choose the inequality that best matches the graph.

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12