Inequalities Review

A Jet Ski rental charges a flat rate of $75, plus an additional $60 per hour. You do not want to spend more than $200. How many hours can you rent the Jet Ski and stay under budget?

• 75 + 60h > 200

• 75 + 60h ≤ 200

• 75 + 60h < 200

• 60 + 75h > 200

David had to buy two new tires that cost the same amount each. He also had to spend $60 for new headlights. He spent less than $300. Which inequality can determine the possible cost of each tire?

• 60 > 2x + 300

• 300 > 2x + 60

• 300 > 60x + 2

• 300 < 2x + 60

Which problem situation can be represented by this inequality? 9 + 3x ≤ 30

• The maximum Taylor can spend at the store is $30. She already spent $3 on pictures and she found candles for $9 each.

• The minimum Taylor can spend at the store is $30. She already spent $9 on pictures and she found candles for $3 each.

• Taylor wants to spend less than $30 at the store. She already spent $9 on pictures and she found candles for $3 each.

• The maximum Taylor can spend at the store is $30. She already spent $9 on pictures and she found candles for $3 each.

Which problem situation can be represented by this inequality? 112 > 12x +16

• John just purchased some books and magazines for his office. The total bill was less than $112. He spent $16 on magazines and the books cost $12 each. How many books did he buy?

• John just purchased some books and magazines for his office. The total bill was greater than $112. He spent $16 on magazines and the books cost $12 each. How many books did he buy?

• John just purchased some books and magazines for his office. The total bill was equal to $112. He spent $12 on magazines and the books cost $16 each. How many books did he buy?

• John just purchased some books and magazines for his office. The maximum he can spend is $112. He spent $12 on magazines and the books cost $12 each. How many books did he buy?

A plumber charges $55 for a service call plus $34 per hour. You can’t pay more than $160, which equation could determine h, how many hours he was there for?

• 55-34h > 160

• 89x < 160

• 55h + 34 ≥160

• 55 + 34h ≤ 160

Which problem situation can be represented by this inequality? 60 > 34 + 0.18x

• Mr. Martinez rents a car for one day. The charge is $34 just to rent the car and $0.18 for every mile he drives. Mr. Martinez can spend less than $60, how many miles can he drive?

• Mr. Martinez rents a car for one day. The charge is $34 just to rent the car and $0.18 for every mile he drives. Mr. Martinez can spend no more than $60, how many miles can he drive?

• Mr. Martinez rents a car for one day. The charge is $0.18 just to rent the car and $34 for every mile he drives. If Mr. Martinez has $60, how many miles can he drive?

• Mr. Martinez rents a car for one day. The charge is $60 just to rent the car and $0.18 for every mile he drives. If Mr. Martinez has a maximum of $34, how many miles can he drive?

Solve:

• x < 24
• x < 3
• x > 24
• x < 10.3333....

Solve the inequality

• 
• 
• 
• 

hint: move 11 first

• x ≤ 12

• x ≥ 12

• x ≥ 14

• x ≥ 23