Unit Test — Cumulative exam Answers

When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

What is the sale price of a phone that was originally $199 but that has been marked down by 15 percent?

Giovanna used the calculations below to determine the height of a stack of 7 books that are each inches thick. What was her error?

Guillermo used the fact that a highway bus traveled 275 miles in 5 hours to find the unit rate. How can he check his answer?

The table shows the number of games a team won and lost last season. Wins and Losses Last Season Number of GamesWins24Losses16Greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends.Which tool is most appropriate for use in a simulation that fits the data?

A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent markup, and each book will be sold for the same amount. How much will they sell each book in the case for?

Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

Kedwin has $150.00 and wants to buy a new pair of headphones that cost $175.00 plus 10% shipping. He decides to wait until the headphones go on sale. What is the smallest sale rate that he needs to be able to afford them?

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.According to Katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?

Catron evaluates the expression using the steps below.Step 1: Step 2: Step 3: Step 4: Solution: Which describes Catron’s error?

A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. After shuffling the deck, Linbo deals the cards to his friends for the game. Which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced?

A car travels 18 miles per gallon of gas used. Which equation best represents the proportional relationship between the y miles that the car has traveled and the x gallons of gasoline that it has used?

Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on the theoretical probability, which best describes Carmen’s prediction?

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.

Allison is evaluating the expression using integer tiles. She begins with 5 negative tiles as shown.What should Allison do next to find the value of the expression?

What is the difference of –96.43 – (–98.67)?

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

Which of the following values could represent the probabilities of complementary events?