Unit 7 Test - Ready Math

UntitleHarris works at a used car dealership. He makes sure all the cars have safe tires. In August, 36 of the used cars entering the dealership already have safe tires. Based on this result, he predicts that if 200 used cars entered the dealership, 150 of the cars would have safe tires. How many used cars entered the dealership in August?

• 36
• 50
• 48
• 40

Which probabilities are very likely? Choose all the correct answers.

• 8/9
• 6/7
• 1/5
• 3/6
• 15/35

A clearance aisle at a clothing store has 16 T-shirts, 8 tank tops, 20 sweatshirts, and 4 pants. Teagan picks a piece of clothing at random from the aisle. Which statement about the clearance aisle is true?

• The probability of picking a T-shirt is 2/3
• The probability of picking a sweatshirt is 5/6
• The probability of picking a tank top is 1/6
• The probability of picking pants is 1/11

Hektor makes raviolis. He sells orders with 4, 6, or 8 raviolis. The raviolis are filled with beef, squash, cheese, or lobster. The raviolis come with red, white, or pink sauce. What is the probability that a randomly chosen order includes lobster raviolis?

• 1/6
• 1/36
• 1/4
• 1/12

Levi has a container of 300 differently colored marbles. He chooses one marble at random, records the color of the marble, and puts the marble back in the container. He does this 9 times. The colors of the marbles Levi chooses are red, pink, pink, yellow, blue, red, yellow, pink, and blue. Use Levi’s results to predict about how many pink marbles Levi will select in the next 45 trials.

• 15
• 3
• 9

Pompea is rolling a standard number cube and spinning a spinner with the numbers 7212. What is the probability that the roll and the spin will both be a multiple of 3?

• 1/4
• 1/9
• 1/2
• 1/36

Benilda plays a spelling game. There are 24 consonant tiles and 12 vowel tiles. During each turn, Benilda selects a tile at random from a bag, then returns the tile to the bag. Benilda records the kind of tile she selects during each turn. In 12 turns, she selects 5 consonant tiles and 7 vowel tiles. Which statement about the probability of selecting a vowel tile is correct?

• The theoretical probability is less than 1/2 , and the experimental probability is greater than 1/2
• The theoretical probability is less than 1/2 , and the experimental probability is less than 1/2
• The theoretical probability is greater than 1/2 , and the experimental probability is greater than 1/2
• The theoretical probability is greater than 1/2 , and the experimental probability is less than 1/2

Jani rolls a number cube 12 times. The first 11 results are 1, 3, 6, 2, 2, 5, 1, 4, 3, 6, and 4. For all 12 rolls, the theoretical probability of rolling a number greater than 3 is equal to the experimental probability of rolling a number greater than 3. What numbers could be the result of the 12th roll? Select all that apply.

• 4
• 5
• 6
• 1
• 2

Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. Sienna wants to know the probability that at least 2 of the colors will be the same. Which of the following is the best simulation?

• Roll a standard number cube 5 times for each trial. Let each number represent a different color. Run 50 trials and find the fraction of times that at least two of the same number are rolled.
• Create a spinner with 5 equal sections. Label each section with a different color. Spin the spinner 7 times to see if it lands on the same color two or more times.
• Create a spinner with 7 equal sections. Label each section with a different color. Spin the spinner 5 times for each trial. Run 50 trials and find the fraction of times the spinner lands on the same color two or more times.
• Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Amara has a box with different-colored bows. In the box, there are 6 blue bows, 9 red bows, 11 yellow bows, and 4 green bows. Amara selects a bow at random. Which is more likely: selecting a blue or red bow, or selecting a yellow or green bow?

• blue or red
• yellow or green
• both are equally likely