Cumulative Exam — 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?

Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step: 1. Find the positive difference between the original number and the new number.2. ________________________3. ________________________4. Round the answer if necessary.They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?

Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed pounds. Ari’s bag of oranges that he bought weighed pounds. Using compatible fractions, estimate how much heavier Ari’s bag is compared to Juan’s bag.

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

At a jeans factory, a random quality check found 8 pairs defective and 292 pairs with no problems. How many defective pairs can be expected in the inventory of 3,000 pairs of jeans?

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

A map is drawn so that every 1 inch on the map represents 50 actual miles. The table below can be used to record the actual distances between towns on the map.Actual Distances and Map DistancesActual Distance (mi.)50 Map Distance (in.)1 What is the actual distance between two towns that are 4 inches apart on the map?

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

The large rectangle was reduced to create the small rectangle. Not drawn to scaleWhat is the missing measure on the small rectangle?

If the relationship is proportional, what is the missing value from the table?xy–39–5?–721

The diagram represents a triangle that is reduced by a scale factor of 0.4. What is the height of the original triangle?

Enrique says is a rational number. Which of the following best describes whether Enrique is correct and why?

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?

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?

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?

In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas?

A scale factor of is used to make a reduction of the original triangle. Original triangleReduced triangleHeight12 Base24 What is the base of the reduced triangle?

Diego cut 7 smaller boards of equal length from a board that is feet long. How long is each of the 7 smaller boards?