E
Making Equations
A high school drama club is putting on their annual theater production. There is a maximum of 800 tickets for the show.
The costs of the tickets are $6 before the day of the show and $9 on the day of the show. To meet the expenses of the
show, the club must sell at least $5,000 worth of tickets. a) Write a system of inequalities that represent this situation. b)
The club sells 440 tickets before the day of the show. Is it possible to sell enough additional tickets on the day of the
show to at least meet the expenses of the show? Justify your answer.
Donna wants to make trail mix made up of almonds, walnuts and raisins. She wants to mix one part almonds, two parts
walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound.
Donna has $15 to spend on the trail mix. Determine how many pounds of trail mix she can make. [Only an algebraic
solution can receive full credit.]
Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5
milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained.
How much slushy was originally in the cup?
How long did it take Mariana to drink all the slushy?
Which of the ordered pairs (1,4) and (−4,−2) is a solution of the following inequality?
−8x + 5y ≤ −9
Which x-values make the ordered pair (x,8) a solution of the following inequality?
−9x + 4y < −13
Michelle has a maximum of 4500 milliliters (ml) of water for her plants today. Each basil plant requires350 ml of water, and
each fennel plant requires 525 ml of water.
Write an inequality that represents the number of basil plants (B) and fennel plants (F) Michelle can water today.