Melanie is playing a card game called The Integer Game. In this game, players are dealt 5 cards. The goal of the game is to have the sum of the cards in your hand total as close to 0 as possible. Each round, the player picks up a new card. The player must then discard a card that will help achieve the goal of a sum closest to 0. Melanie has the the following cards in her hand:
If Melanie picks up a 9 as her next card, which card should she discard to achieve the goal of a sum closest to 0?
Required
1 point
1
Question 2
2.
Jayden’s family drives 325 miles from their home to their grandparents’ house. On the drive home, after 150 miles, they stop at a rest stop. The number line models this situation.
If Jayden’s family travels the same distance to and from their grandparent’s house, how many more miles do they have left to drive home?
Required
1 point
1
Question 3
3.
Rashad received a gift card worth $25 for his birthday. He bought two toys, the first costs $8 and the second costs $7. Which expression below could be used to determine how much money is left on the gift card?
Required
1 point
1
Question 4
4.
What is the value of
Required
1 point
1
Question 5
5.
What is the value of −5.4 − 11?
Required
1 point
1
Question 6
6.
A customer uses three $0.75 coupons when checking out of the grocery store. Which expression below represents this scenario?
Required
1 point
1
Question 7
7.
Express the following fraction as a decimal.
Required
1 point
1
Question 8
8.
What is the value of 4.1 x (− 3) ?
Required
1 point
1
Question 9
9.
What is the value of
Required
1 point
1
Question 10
10.
Evaluate
Required
1 point
1
Question 11
11.
Evaluate 15 ÷ 5 − (5 − 8 ÷ 2) × 3.
Open Ended Response
Jesse and Miya are playing the Integer Card Game. The cards in Jesse’s hand are shown below:
Required
3 points
3
Question 12
12.
a. What is the total score of Jesse’s hand? Support your answer by drawing and labeling a number line.
Required
3 points
3
Question 13
13.
b. Jesse picks up two more cards, but they do not affect his overall point total. State the value of each of the two cards, and tell why they do not affect his overall point total.
Required
3 points
3
Question 14
14.
c. The cards below represent Miya's hand when the cards were first dealt. Her hand already had a sum of zero.
What's the value of her "?" card?
Prove that your answer is correct.
3 points
3
Question 15
15.
Bryan and Jeanette were playing the Integer Card Game like the one you played in class. They were practicing adding and subtracting integers. Jeanette had a score of −10. Bryan took away one of Jeanette’s cards. He showed it to her. It was a −8. Jeanette recalculated her score to be −2, but Bryan disagreed. He said that her score should be −18 instead. Read their conversation, and answer the question below.
“No, Jeanette, removing a negative card means the same thing as subtracting a positive. So, negative 10 minus negative 8 is negative 18.”
“It does not! Removing a negative card is the same as adding the same positive card. My score will go up. Negative 10 minus negative 8 is negative 2.”
Based on their disagreement, who, if anyone, is right? Explain