Math practice test 1

Which of the following best describes the data represented by this scatterplot?

• This is a linear association with a positive correlation between bivariate data.

• This is a linear association with a negative correlation between bivariate data.

• This is a nonlinear association between bivariate data.

• There is no association between the bivariate data.

This is a nonlinear association between bivariate data.

The data points in this scatter plot form a curve.

If Stella’s current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kilogram is approximately equal to 2.2 pounds.)

• 123 pounds

• 110 pounds

• 156 pounds

• 137 pounds

123 pounds

Solve for x:

2x+4=x−6

• x=−12

• x=10

• x=−16

• x=−10

x = −10

A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long and fencing costs $1.75 per foot, how much will the farmer need to spend on fencing material to fence the perimeter of the field?

$3360

Erma has her eye on two sweaters at her favorite clothing store, but she has been waiting for the store to offer a sale. This week, the store advertises that all clothing purchases, including sweaters, come with an incentive: 25% off a second item of equal or lesser value. One sweater is $50, and the other is $44. If Erma purchases the sweaters during the sale, what will she spend?

• $79

• $81

• $83

• $85

$83

A woman wants to stack two small bookcases beneath a window that is 2612 inches from the floor. The larger bookcase is 1412 inches tall. The other bookcase is 834 inches tall. How tall will the two bookcases be when they are stacked together?

• 12 inches tall

• 23 ¼  inches tall

• 35 ¼  inches tall

• 41 inches tall

23 ¼  inches tall

Four more than a number, x, is 2 less than 13 of another number, y. Which of the following algebraic equations correctly represents this sentence?

• x+4=1/3y−2

• 4x=2−1/3y

• 4−x=2+1/3y

• x+4=2−1/3y

x+4=1/3y−2

1/3y goes in front of 2 because is is less than 1/3y which will subtract properly 

Margery is planning a vacation, and she has added up the total potential cost. Her round-trip airfare will cost $572. Her hotel cost is $89 per night, and she will be staying at the hotel for 5 nights. She has allotted a total of $150 for sightseeing during her trip, and she expects to spend about $250 on meals. As she books the hotel, she is told that she will receive a discount of 10% off the price of $89 for each additional night after the first night she stays there. Taking this discount into consideration, what is the amount that Margery expects to spend on her vacation?

• $1,328.35

• $1,373.50

• $1,381.40

• $1,417.60

$1,381.40

which of the following statements is true?

• Group A is negatively skewed, while Group B is approximately normal.

• Group A is positively skewed, while Group B is approximately normal.

• Group A is positively skewed, while Group B is negatively skewed.

• Group A is approximately normal, while Group B is negatively skewed.

Group A is positively skewed, while Group B is approximately normal.

*Data is said to be positively skewed when there are a higher number of lower values, indicating data that is skewed right

what percentage of the funds was donated to support construction costs?

• 49%

• 23%

• 18%

• 10%

23%

Arrange the following numbers from least to greatest:

7/3, 9/2, 10/9, 7/8

7/8 , 10/9 , 7/3, 9/2

Simplify the following expression:

7+16−(5+6×3)−10×2

• –42

• –20

• 23

• 20

–20

Which of the following best describes the relationship of this set of data?

• High positive correlation

• Low positive correlation

• Low negative correlation

• No correlation

Low positive correlation

*high positive correlation has the dots close together and looks like a straight line not scattered

A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after the decrease?

• 70 mg

• 238 mg

• 270 mg

• 340 mg

238 mg

A rectangle has a width of 9 inches and a length of 15 inches. If the rectangle is enlarged by a scale factor of 32, what is the perimeter of the dilated rectangle?

72 inches

The table below shows the average amount of rainfall Houston receives during the summer and autumn months.

Month	Rainfall (inches)
June	5.35
July	3.18
August	3.83
September	4.33
October	4.5
November	4.19

 

What percentage of rainfall in this timeframe occurs during October?

17.7%

add all the numbers to find the total then divide it by 4.5

Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid?

• $141.60

• $225.70

• $305.30

• $330.40

$330.40

Robert is planning to drive 1,800 miles on a cross-country trip. If his car gets 30 miles to the gallon and his tank holds 12 gallons of gas, how many tanks of gas will he need to complete the trip?

5 tanks

1800 ÷ 30 = 60 gallons  → 60 gal ÷ 12 gal = 5 tanks

While at the local ice-skating rink, Cora went around the rink 27 times total. She slipped and fell 20 of the 27 times she skated around the rink. What approximate percentage of the times around the rink did Cora NOT slip and fall?

• 37%

• 74%

• 26%

• 15%

26%

7/27 = 26

Joshua has to earn more than 92 points on the state test in order to qualify for an academic scholarship. Each question is worth 4 points, and the test has a total of 30 questions. Let x represent the number of test questions that Joshua needs to answer correctly. Which of the following inequalities can be solved to determine the number of questions Joshua must answer correctly?

• 4x<30

• 4x<92

• 4x>30

• 4x>92

4x>92

Susan decided to celebrate getting her first nursing job by purchasing a new outfit. She bought a dress for $69.99 and a pair of shoes for $39.99. She also bought accessories for $34.67. What was the total cost of Susan’s outfit, including accessories?

$144.65

Mrs. McConnell’s Classroom

Eye Color	Number of Students
Brown	14
Blue	9
Hazel	5
Green	2

 

Approximately what percentage of students in Mrs. McConnell’s classroom have either hazel or green eyes?

• 23%

• 30%

• 47%

• 77%

23%

add hazel and green eyes the divide by the total of students

Eye Color	Number of Students
Brown	14
Blue	9
Hazel	5
Green	2

 

What is the ratio of students with brown eyes to students with green eyes?

• 1:2

• 3:1

• 1:5

• 7:1

7:1

During week 1, Nurse Cameron worked 5 shifts. During week 2, she worked twice as many shifts as she did during week 1. During week 3, she added 4 shifts to the number of shifts she worked during week 2. Which equation below describes the number of shifts Nurse Cameron worked during week 3?

• Shifts= (2)(5)+4

• Shifts=(4)(5)+2

• Shifts=5+2+4

• Shifts=(5)(2)(4)

Shifts= (2)(5)+4

Consider a bag that has 3 orange blocks, 5 green blocks, and 4 purple blocks. If you pull an orange block out, what is the probability of consecutively pulling two more orange blocks, without replacement, from those that remain in the bag?

• 1/3

• 1/55

• 2/81

• 31/110

1/55

There are a total of 3+4+5=12 blocks in the bag to start. After you take out an orange one, there are 11 left, 2 of which are orange. So, the probability of taking another orange one out is 2/11.

9.5% of the people in a town voted for a certain proposition in a municipal election. If the town’s population is 51,623, about how many people in the town voted for the proposition?

• 3,000

• 5,000

• 7,000

• 10,000

5,000

A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at an average speed of 80 mph, how long will it have been since he began the trip?

• 0.96 hours

• 6.44 hours

• 6.69 hours

• 6.97 hours

6.97 hour

Using the chart below, which equation describes the relationship between x and y?

x	y
2	6
3	9
4	12
5	15

• x=3y

• y=3x

• y=13x

• xy=3

y=3x

Complete the following equation:

2+(2)(2)−2÷2=?

• 5

• 3

• 2

• 1

5

A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?

• 17.2 in3

• 19.4 in3

• 21.2 in3

• 23.4 in3

21.2 in3

V=πr2h

A study about anorexia was conducted on 100 patients. Within that patient population, 70% were women, and 10% of the men were overweight as children. How many male patients in the study were NOT overweight as children?

• 3

• 10

• 27

• 30

27

What is the independent variable in the graph below?

• Anesthesia

• Geriatrics

• Nurse specialties

• Number of nurses

Nurse specialties

represents x

University Q has an extremely competitive nursing program. Historically, ¾ of the students in each incoming class major in nursing, but only 1/5 of those who major in nursing actually complete the program. If this year’s incoming class has 100 students, how many students will complete the nursing program?

• 75

• 20

• 15

• 5

15

What kind of association does the scatter plot show?

• Linear, positive

• Linear, negative

• Quadratic

• No association

No association

The number of flights a flight attendant made per month is represented by the line graph below.

What is the range in the number of flights the flight attendant made?

• 20

• 25

• 29

• 32

25

Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35% of the staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work in the neonatal unit during the holiday?

• 7%

• 13%

• 65%

• 80%

13%

Which of the following describes a graph that represents a directly proportional relationship?

• The graph has a slope of 2,500 and a y-intercept of 250.

• The graph has a slope of 1,500 and a y-intercept of −150.

• The graph has a slope of 2,000 and a y-intercept of 0.

• The graph has a slope of −1,800 and a y-intercept of −100.

The graph has a slope of 2,000 and a y-intercept of 0.

A graph that has a y-intercept of 0 indicates a directly proportional relationship because the starting value is 0, and no amount is added to, or subtracted from, the term containing the slope

As part of a study, a set of patients will be divided into three groups: 4/15 of the patients will be in Group Alpha, 2/5 of the patients will be in Group Beta, and 1/3 of the patients will be in Group Gamma. Order the groups from smallest to largest, according to the number of patients in each group.

• Group Alpha, Group Beta, Group Gamma

• Group Alpha, Group Gamma, Group Beta

• Group Gamma, Group Alpha, Group Beta

• Group Gamma, Group Beta, Group Alpha

Group Alpha, Group Gamma, Group Beta