Which visual representation correctly describes the relationships between the sets and subsets of rational numbers?
A.
B.
C.
D.
C
Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters in envelopes.
Write an equation that best represents y, the total number of letters Natasha puts in envelopes in x hours if she continues at this rate?
y=42x
The graph shows a linear relationship between x and y.
Write an that equation best represents this linear relationship?
y = −x + 2
The local community college is analyzing student grades in two freshman courses. The freshman enrollment is currently 264 students. They collected a random sample of 75 grades in English and 75 grades in History and displayed the results in the box plots.
Which conclusion is best supported by the given information and the data in the box plots?
A. Students are more likely to score below a 70 in History than in English. The strength of the inference is strong when considering the size of the sample compared to the size of the freshmen class.
B. Students are more likely to score above a 90 in History than in English. The strength of the inference is weak when considering the size of the sample compared to the size of the freshmen class.
C. Students are more likely to score between an 80 and a 90 in English than in History. The strength of the inference is weak when considering the size of the sample compared to the size of the freshmen class.
D. Students are more likely to score below an 80 in English than in History. The strength of the inference is strong when considering the size of the sample compared to the size of the freshmen class.
D. Students are more likely to score below an 80 in English than in History. The strength of the inference is strong when considering the size of the sample compared to the size of the freshmen class.
The price of a computer is $899.00. The sales tax rate is 7%. What is the sales tax on this computer in dollars and cents?
$62.93
What is the value of the expression ?
Leave answers as a fraction.
A recycling bin contained 40 pounds of plastic in October and 50 pounds of plastic in November. By what percentage did the amount of plastic increase from October to November?
A. 10%
B. 25%
C. 20%
D. 80%
B. 25%
A pyramid has a square base with a side length of 7 centimeters. If the volume of the pyramid is 196 cubic centimeters, what is its height in centimeters?
12 cm
Mr. Kumar conducted a random survey asking 80 students which elective class they prefer. The results are shown in the bar graph.
Which inference about the data is best supported by this information?
A. Twice as many seventh-grade students as eighth-grade students prefer band as an elective.
B. More eighth-grade students prefer art as an elective than prefer band or theater.
C. Fewer seventh-grade students prefer band or theater as an elective than prefer art
D. Half as many seventh-grade students as eighth-grade students prefer theater as an elective.
A. Twice as many seventh-grade students as eighth-grade students prefer band as an elective.
Allen’s monthly income is $3,200. Part of Allen’s monthly budget is shown in the table.
What percentage of Allen’s income is used to pay for his rent and groceries?
40%
What is the value of −8(1) + 2(2
)?
Leave your answer as an improper fraction in the simplest form.
-15/2
The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch.
Which measurement is closest to the length of the ruler in millimeters?
A. 3,048 mm B. 304.8 mm
C. 30.48mm D. 3.048 mm
B. 304.8 mm
The bottom of a circular pan has a diameter of 14 inches. What is the area of the bottom of the pan in square inches?
Round to the nearest hundredths place.
153.86 in.2
The dot plots show the numbers of pets the students in each of two classes have.
Which statement is best supported by the information in the dot plots?
A. The range for Class K is greater than the range for Class M.
B. The mean for Class K is equal to the mean for Class M.
C. The median for Class K is less than the median for Class M.
D. The mode for Class K is equal to the mode for Class M.
C. The median for Class K is less than the median for Class M.
The table shows Avery’s net worth statement.
Avery’s net worth is $53,755. Based on the information in the table, what is the current value of Avery’s car?
$12,480
One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal form, are equivalent to 9.5 years on Venus?
2134.65
An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet.
What is the length in inches of the building in the scale drawing?
31.25
The figure shows a rectangle inscribed in a circle that has a diameter of 10 feet.
Which measurement is closest to the area of the shaded portion of the figure in square feet?
30.5 ft2
The box plots summarize the number semester hours students enrolled in a university and a community college completed during the fall semester.
Which statement is best supported by the data in the box plots?
A. The median of the data for the university is greater than the median of the data for the community college.
B. The interquartile range of the data for the community college is greater than the interquartile range of the data for the university.
C. The range of the data for the university is greater than the range of the data for the community college.
D. The third quartile of the data for the community college is greater than the third quartile of the data for the university.
B. The interquartile range of the data for the community college is greater than the interquartile range of the data for the university.
Alice has a loan of $24,820. This loan has a simple interest rate of 3.5% per year. No payments will be made on the loan until the end of one year.
How much interest will Alice pay on this loan at the end of one year?
$868.70
Ms. Avery sold tomatoes at a local farmers' market over a two-week period.
How many pounds of tomatoes did Ms. Avery sell during the two-week period?
36.8 lb
An average family uses 300 gallons of water per day at home. The circle graph shows the percentages of some of the types of water use for an average family.
How many gallons of water per day are used for shower or leak?
96 gallons
What is the solution set for the inequality 3 ≤ 8 − x?
x ≤ 20
The box plots show the numbers of lessons completed by individual students enrolled in an online program at two different schools.
Which statement is best supported by the data in the box plots?
A. The range of the data for School 1 is greater than the range of the data for School 2.
B. The interquartile range of the data for School 2 is greater than the interquartile range of the data for School 1.
C. The students at School 1 completed more lessons than the students at School 2.
D. The median of the data for School 2 is greater than the median of the data for School 1.
D. The median of the data for School 2 is greater than the median of the data for School 1.
Two stores are having sales on cameras.
Which store would have the better sale price for a camera with an original price of $80?
A. Store X, because the sale price would be $68
B. Store Y, because the sale price would be $64
C. Store X, because the sale price would be $12
D. Store Y, because the sale price would be $16
B. Store Y, because the sale price would be $64