Solving Inequalities and Graphing Linear

Which of the following linear inequalities represents the graph?

• 
• 
• 
• 

.

• A

• B

• C

• D

Tickets for lower deck seats cost $42 each and tickets for upper deck seats cost $30 each. Which inequality represents the 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?

A customer is ordering hats and shirts from an online store. Each hat costs $7 and each shirt costs $10. The customer has up to $100 to spend. Write an inequality to represent the possible combinations of hats, x, and shirts, y, in an order that the customer can afford.

Move the correct answer to each box.

​ (a)   x+​ (b)   y​ (c)   ​ (d)  

• 7

• 10

• 100

• 17

• A
• B
• C
• D

Identify the quadrants included in the solution to: 
y ≥ -3x + 4 

• Quadrants I, II, and III

• Quadrants I, II, and IV

• Quadrants I and II 

• Quadrants I and IV 

Identify the quadrants included in the solution to: 
x - y ≤ 1

• Quadrants I, II, and III

• Quadrants I, III, and IV

• Quadrants I, II, III, and IV 

• Quadrants I and II