Unit 1: Rational Numbers Review

In a coastal town, friends Sarah, James, and Emily set out to find a hidden treasure rumored to be buried at an old oak tree. They start at a sign on the beach that says “you are currently at sea level.” They then climb 5 feet up a small hill. From there, they continue down a valley that brings them down 12 feet. Finally, they climb up another 4 feet to reach the oak tree. How far from sea level is the oak tree?

2. A 6-pack of energy bars costs $12. The box is on sale for 1/3 off the original price. What is the

price of an individual bar?

3. Maria is shopping for a new backpack for school. She finds a stylish backpack that costs $50.

At the same time, the store is having a store-wide sale offering 20% off all items. However,

Maria also has a coupon for $8 off any backpack. Maria needs to decide whether to use the

coupon or take advantage of the store-wide sale, but she cannot combine the two deals.

Which deal should Maria use?

• She should use the store-wide sale and the backpack will cost $30.

• She should use the store-wide sale and the backpack will cost $10

• She should use the $8 off sale and the backpack will cost $42

• She should use the store-wide sale and the backpack will cost $40

What is the final balance on the table?

5. Jamal parked his car in a parking garage, but can’t remember what level it is on. He starts looking on level 0 with no luck. He travels 10 floors up, thinking he should start at the top. Then, a friend of his calls and says he thinks he found the car. Jamal travels down 15 floors to meet his friend, but the friend was wrong. He suddenly remembers the floor number and takes the elevator up 8 floors. What level is his car on?

6. The coldest ever recorded temperature in Atlanta, GA was -9°F in January of 1985. The hottest ever recorded temperature in Atlanta was 106°F in August 2007. What is the distance between the hottest and coldest temperatures?

7. The Johnson family is planning a trip to Zoo Atlanta. They know that the price of an adult ticket is $25. They purchased 2 adult tickets and 1 child's ticket, and the total cost for all three tickets was $65. What is the cost of the child's ticket?

8. The Johnson family (from question #7) decided that they will bring along their neighbors, the Williams. The Williams have 1 adult and 3 kids in their house. What will the total price be for both families to go to the zoo?

9. The Williams family (from question #8), have a coupon so that all children’s tickets are 15% off. How much will a child’s ticket cost them?

10. 10a. The product of a negative and a positive is a...