Writing and Graphing Linear Inequalities and Systems

Damian can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Tags

CCSS.7.EE.B.4B

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

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

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

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3
• y ≥ -3/4 x + 3
• y < -3/4 x + 3
• y > -3/4 x + 3

Tags

CCSS.HSA.REI.D.12

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck cost $31.50. Write an inequality that represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

• $42x+31.5y\ge80$

• $42x+31.5y\le80$

• $42x+31.5y<80$

• $42x+31.5y>80$

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school would like to sell 3 senior citizen tickets and 2 child tickets for a total at least $42. Write an inequality that represents this situation.

•  $3s\ +\ 2c\ >42$  

•  $3s\ +\ 2c\ <42$  

•  $3s\ +\ 2c\ \le42$  

•  $3s\ +\ 2c\ \ge42$  

Which graph best represents the following inequality?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

You have at most 8 hours to spend at the mall and at the beach. Write an inequality that represents this situation.

• $x+y\ge8$

• $x+y<8$

• $x+y≤8$

• $x+y>8$

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Write an inequality that represents this situation.

•  $6s+2b>120$ 

•  $6s+2b<120$ 

•  $2s+6b≤120$ 

•  $2s+6b≥120$