7 th Grade Fourth Quarter Review: Standards 7.9, 7.10, 7.11, and 7.12

These cards are the same size and shape. They are placed inside a bag. A card is randomly selected and then placed back inside the bag. This is done 30 times. The card with an A is selected 3 times. What is the theoretical probability of selecting a card with an A? 7.9 BACDEF

These cards are the same size and shape. They are placed inside a bag. A card is randomly selected and then placed back inside the bag. This is done 30 times. The card with an C is selected 3 times. What was the experimental probability of selecting a card with an C? 7.9 BACDEF

These cards are the same size and shape. They are placed inside a bag. A card is randomly selected and then placed back inside the bag. This is done 30 times. The card with an F is selected 3 times. Compare and contrast the theoretical and experimental probabilities of selecting a card with an F after a card is randomly selected 1,000 times. 7.9 BACDEF

Sample Answer: The theoretical probability of selecting a card with an A stays the same. The experimental probability should get closer to the theoretical probability.

7.10

A set of cards that are of equal size and shape is shown below. The 7 card was randomly selected from the cards 6 out of 18 times. Which statement best describes the experimental probability and the theoretical probability of selecting the 7 card? 7.9

7.10

The letters A, B, C, D, and E can be used to create a four letter code for a lock. Each letter can be repeated. What is the total number of four letter codes can be made using these letters?

A fair coin has faces labeled heads and tails. A fair cube has faces labeled A, B, C, D, E, and F. Adam will flip this coin and roll the cube one time each. What is the probability that the coin will land with tails face-up and the cube will land on the letter A?

The letters A, B, C, and D can be used to create a code for a lock. Each letter can be repeated. What is the total number of four-letter codes that can be made using these letters? 7.10

The letters A, B, C, and D can be used to create a code for a lock. Each letter can be repeated. What is the total number of three-letter codes that can be made using these letters? 7.10

The letters A, B, C, and D can be used to create a code for a lock. No letter can be repeated. What is the total number of three-letter codes that can be made using these letters?

A fair coin has faces labeled heads and tails. A fair cube has faces labeled 1, 2, 3, 4, 5, and 6. Timothy will flip this coin and roll the cube one time each. What is the probability that the coin will land with heads facing up and the top side of the cube will be a number that is composite?

A fair coin has faces labeled heads and tails. A fair cube has faces labeled 1, 2, 3, 4, 5, and 6. Timothy will flip this coin and roll the cube one time each. What is the probability that the coin will land with tails facing up and the top side of the cube will be a number that is a multiple of 2?

This table shows the types of pizza and drink selections at a party. Maya will randomly select one type of pizza and one drink from these choices. What is the probability that Maya will select pepperoni pizza and cola? A B C D 7.10 Type of PizzaDrink PepperoniApple Juice VegetableOrange Juice Plain CheeseCola Water

7.10 The digits 1, 2, 3, and 4 are used to make a 2-digit number. Each digit can be repeated, what is the total number of 2 digit umbers that can be made using these digits?

4 x 4 = 16

7.11a John surveyed seventh graders about how many books they read last summer, then created the histogram shown below from his data. Based on this histogram, which statement must be true? D. Most students said they liked to read. C. More students read 0–5 books than read 6–11 books. B. The same number of students read 0–5 books as read 3–5 and 9–11 combined. A. 50% of the students read 6–11 books. Number of books Number of students

C. More students read 0–5 books than read 6–11 books.

7.10 This spinner has 6 sections of equal size.

7.10 The table shows the results of 50 rolls of a fair number cube numbered 1 to 6. According to the data in the table, what was the experimental probability of rolling a 5?

A spinner has sections labeled X, Y, and Z. The faces of a number cube are labeled 1, 2, 3, 4, 5, and 6. What is the total number of possible outcomes of 1 spin of the arrow on the spinner and 1 roll of the number cube? 7.10

18

7.11

Which table of values represents the same relationship as the rule ? A C B D 7.12 xy xy xy xy

A. xy

Which rule is best represented by this graph? ABCDABCD

A.

Larry charges a customer a one-time fee of $15 plus $40 each week. Which table has values that represent this situation? AC BD 50 Number of Weeks Total Amount of Charges 1$55 3$135 Number of Weeks Total Amount of Charges 1$15 3$45 Number of Weeks Total Amount of Charges 1$55 3$165 Number of Weeks Total Amount of Charges 1$15 3$

C. Number of Weeks Total Amount of Charges 1$55 3$135

7.12