Framing/Writing Linear Inequalities

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81
• 7x + 13y ≥ 81
• 7x + 13y ≤ 81
• 7x + 13y > 81

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Do I need to flip my sign?
2x -3y  ≥ 12

• Yes
• No

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• None of these.

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: 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.

• 14x + 5y ≥ 1000
• 14x + 5y < 1000
• 14x + 5y  ≤ 1000
• 14x + 5y > 1000

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

Select the correct graph for each inequality.

• A
• B
• C
• _D

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