Inequalities Pre-Assessment

1. Hannah is at the fair and wants to ride a few rides. The cost to enter the fair is 5 dollars, and then $3.50 for each ride she rides.

 

How many rides can Hannah ride if she only has $20?

2. Sam wants to go bowling with his friends. To go bowling, it costs $15 per game that you play. In order to play at all, you must rent bowling shoes for $5.

 

Which inequality shows how many times he can go bowling (x) in order for the total cost to be $40 or less?

• A. x ≤ 1

• B. x ≤ 2

• C. x ≤ 3

• D. x ≤ 4

3. Match each inequality on the left to the graph of its solution.

Alex works at the gym. She earns $500 per month. She's paid an additional $10 for each new membership she sells. Alex wants to earn more than $900 this month.

If m is the number of new memberships Alex sells, which inequality represents this situation, and what quantities are true for m?

• 500m + 10 > 900, where m > 40

• 500 + 10m > 900, where m > 40

• 500m + 10 < 900, where m < 40

• 500 + 10m < 900, where m < 40