1. A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget. $1.75x ≤ $25 $1.75x ≥ $25 $25x ≤ $1.75 $25x ≥ $1.75

2. Solve for x: 4 − (x + 2) < −3(x + 4)
x < −7
x > −7
x < −9
x > −9

3. Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.

727.29 + 248.50 − x ≥ 500; x ≥ $475.79
727.29 + 248.50 − x ≤ 500; x ≤ $475.79
727.29 − 248.50 + x ≥ 500; x ≥ $21.21
727.29 – 248.50 − x ≤ 500; x ≤ $21.21

4. A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.

$1.75 + $0.25x ≤ $15; x ≤ 53 miles
$1.75 + $0.25x ≥ $15; x ≥ 53 miles
$0.25 + $1.75x ≤ $15; x ≤ 8 miles
$0.25 + $1.75x ≥ $15; x ≥ 8 miles

5. Eduardo solved the following inequality, and his work is shown below:

−5(x + 4) + 21 ≥ −3 + 4(x − 8)
−5x − 20 + 21 ≥ −3 + 4x − 32
−5x + 1 ≥ 4x − 35
−9x ≥ −36
x ≥ 4

What mistake did Eduardo make in solving the inequality?

When dividing by −9, he did not change the ≥ to ≤.
He subtracted 4x from both sides when he should have added 5x.
He subtracted 1 from both sides when he should have added 36.
He did not make a mistake.