Cumulative Exam Answers

38 verified answers

This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality?Number of Teachers

Option

Free Preview

best

Option

Which expression is equivalent to 2w?

Option

A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for .

9.32 ft

9.42 ft

18.64 ft

18.84 ft

What is the measure of ?

Option

Jakob simplified the expression as shown. What was Jakob’s error in subtracting the expressions?

He used the commutative property incorrectly.

He used the distributive property incorrectly.

He used the associative property incorrectly.

He simplified the x coefficients incorrectly.

Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of those sheets are secondary colors?Secondary-Color Construction Paper10%10%10%10%10%10%10%10%10%10%

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of ?

Option

Which equations are equivalent to ? Select three options.

m = StartFraction 10 over 4 EndFraction

m = negative StartFraction 10 over 4 EndFraction

m = negative five-halves

StartFraction 11 over 4 EndFraction + m = negative one-fourth

Negative five-fourths + m = negative StartFraction 15 over 4 EndFraction

What is the value of x?

132

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?

80 pairs

82 pairs

292 pairs

375 pairs

What is the product of ?

–

–81

–

–1

A clothing shop is offering a 12 percent discount for senior citizens. Which equation represents the discount price?

discount price = 1 - (original price)(0.88)

discount price = (original price)(1 – 0.12)

discount price = (original price)(0.12)

discount price = 1 – (original price)(0.12)

Kyoko is reading a book by her favorite author. She read the first 20 pages in of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.Reading TimeAccording to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

It will take her 3 hours to read 120 pages.

It will take her 4 hours to read 180 pages.

It will take her 5 hours to read 210 pages.

best

–

–0.32

–

–0.02

0.02

0.32

Talia gave her hairdresser a 20 percent tip, which amounted to $7. PercentsTotal 100% What was the price of the service before the tip?

$1.40

$35.00

$42.00

$140.00

smallest

10%

20%

25%

30%

Lenore borrowed $400 to pay for car repairs. She needs to pay it back in 2 years with simple interest. Lenore wants to figure out the interest rate of her loan. What additional information does she need to find the interest rate?

principal

amount of time

interest she will owe

the type of car repairs

What is the circumference of the circle? Use for .

44 cm

66 cm

132 cm

154 cm

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

and

28% and 82%

and

10% and 80%

Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each portion weighs 1.5 pounds. Which equation and solution shows the total amount of almonds he used in the mixture?

pounds of almonds

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?

6 percent increase

9 percent increase

10 percent increase

90 percent increase

Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?

Option

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

Option

Line j is a straight line. Which equation represents the relationship between the measures of and ?

Option

Which phrases can be used to represent the inequality ? Select two options.

The product of 6.5 and the sum of a number and 1.5 is no more than 21.

The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

The product of 6.5 and a number, when increased by 1.5, is below 21.

The product of 6.5 and a number, when increased by 1.5, is at most 21.

The sum of 1.5 and the product of 6.5 and a number is at least 21.

best

–

–30 minutes

–

–11 minutes

11 minutes

30 minutes

At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected.

Option

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

$43.75

$437.50

$4,370.50

$43,750.00

Matthew plots an integer on a number line that has an absolute value of 119. Gabrielle plots a different integer on the same number line that also has an absolute value of 119. Which two integers could Matthew and Gabrielle have plotted?

0 and 119

0 and –119

119 and –119

119 and 238

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.

$8.38 per quart

$8.49 per quart

$8.57 per quart

$8.92 per quart

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

The fraction was not simplified in the last step.

Seven was not multiplied by .

There should be a subtraction step, not an addition step.

Two should have been multiplied by .

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

–

–50 + 50 is equal to -100 plus -1 is -101.

–

–50 + 50 is equal to zero plus -1 is -1.

–

–50 + 50 is equal to zero plus 1 is 1.

–

–50 + 50 is equal to 100 plus 1 is 101.

Julio predicted that the average high temperature for January would be . The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?

–

–11°C

–

–3°C

3°C

11°C

A bag contains 1 blue, 2 green, and 3 red marbles, as shown.What is the probability of drawing a green marble out of the bag without looking?

StartFraction 1 over 6 EndFraction

One-fifth

One-third

One-half

Mike paid $18.00 before taxes for 5 photo albums. His sister wants to buy two of the same type of album. What amount should she expect to pay before taxes?

$3.60

$7.20

$9.00

$13.00

When 2() is simplified, what is the resulting expression?

Option

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

Negative 1 and one-fourth

Negative one-fourth

One-fourth

1 and one-fourth

Kayla created the graph below to represent the solution to the inequality .What errors did she make? Select two options.

She should have used an open circle at the end of the ray.

She should have pointed the arrow to the right.

She should have used a circle at –7 as the end of the ray.

She should have used a circle at –9 as the end of the ray.

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?

(

(–164) + (–3.28)

164 – 3.28

(

(–164) + 3.28

164 + 3.28

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?

2. Divide the difference by the original number.3. Multiply the quotient by 100 to change it from a decimal to a percent.

2. Divide the difference by the new number.3. Multiply the quotient by 100 to change it from a decimal to a percent.

2. Divide the difference by the original number.3. Multiply the quotient by 10 to change it from a decimal to a percent.

2. Divide the difference by the new number.3. Multiply the quotient by 10 to change it from a decimal to a percent.

Iliana performed an experiment by spinning a spinner a set number of times and noting the color on which the spinner landed. The table below shows the results.ResultFrequencyBlue7Red9Green6Yellow8What is the experimental probability for the highest frequency?

Option

best

Option

What is the measure of ?

Option

Which expression can be used to find 75% of 60?75% of 6025%25%25%25%0.250.250.250.2515151515

Option

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

–

–18

–

–15

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?