Cumulative Exam — Cumulative exam Answers

The pentagon below has been reduced by a scale of 0.5. What is the area of the reduced pentagon?

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 are the steps for using integer tiles to evaluate the expression ?

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?

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

Mr. Rosenberger asked his students to use the distributive property to rewrite the expression by using friendlier numbers. The table below shows the expressions that four students created.Expressions Created by StudentsStudentExpressionAaronBrianCeceDianaWhich student’s expression is equivalent to 18(24)?

All the items on the sale rack were 75 percent off their original price. PercentsTotal75%25%100%25%25%25%25% x If Jill bought an item on the sale rack and saved a total of $84, what is the value of x in the table above?

What is the unit rate depicted in the graph?

Tobie is estimating the sum of the expression -50+51.Which reasoning would lead Tobie to the right answer?

What is the simple interest value missing in the table? Principal$2,500Interest rate3.5%Time5 yearsInterest?

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?

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?

Chuanxi planned a rectangular sidewalk with a length of 21 ft. He made a scale drawing using a scale factor of 1 in. = 7 ft. He decided to change the length of the actual sidewalk to 27 ft. If the scale drawing still has a length of 3 in., what does 1 in. represent in the new scale in feet?

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?

Shane is trying to figure out how much one magazine would cost if 12 magazines cost $36. Shane did the math and got $45 as the answer.Is Shane’s answer reasonable?

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?

Jakob rolls an 8-sided die that is numbered from 1 through 8 a total of 400 times. About how many times should Jakob expect to roll a 5?

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?

Four spinners with distinct sections of equal area are spun 40 times. Which spinner is most likely to produce actual results closest to the predicted results?

Yuuma applied the steps below to find the product of (–10.2)(–16.4).Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)Step 2: = (–16.4)(–10) + (–16.4)(–0.2)Step 3: = ____________Step 4: = 167.28Which expression correctly fills in the blank in Step 3?