Core Academic Skills for Educators: Mathematics (5732)Practice Test: Version D

* Developed by the VCSU Fall 2018 Math 491 Capstone Course

Taking the Practice Test

Actual Time Allowed on Test Day: 85 minutes

Number of Questions: 56

Format: Multiple Choice, Multiple Answer, and Numeric Entry

Calculator: When taking the actual test an online four-function calculator (i.e. add, subtract, multiply, divide) is available. For this practice test you are encouraged to use your own four-function calculator

Question 1

For any point (x,y) on the graph, if y represents the value of the Canadian dollar, and x represents the equivalent value in US dollars. How much is $2 in Canada equivalent to in US dollars?

A. $0.75B. $1.00C. $1.50D. $2.25E. $3.00

Question 2

Use the following graph of the function f to find all values of x such that f(x) = -5. What are the value/values?

A. -3,0B. 1C. -7D. -4

Question 3

Imagine that your friend is filling up his 32 ounce water bottle. The water is going into the bottle at a rate of 4 ounces per 3 seconds. How long, in seconds, will it take for the water bottle to fill up?

A) 20 secondsB) 30 secondsC) 24 secondsD) 10 secondsE) none of the above

Question 4

6x° 2x°

b

c

a d

What is the measure of angle cbd?

A) 22.5°

B) 135°

C) 45°

D) 35°

Question 5

Jamie decided to start saving money each week. If she continued to save money at the same rate, how much would she have saved by week 20?

A) $100B) $110C) $120D) $130E) None of these

Question 6

Which of the following are statistical questions? (A statistical question is one that can be answered by collecting data and where there will be variability in that data.)

A) How many days are in March?B) How old is your dog?C) On average, how old are the dogs that live on this street?D) How old are your grandparentsE) No correct answer

Question 7

Question 8

Which of the following statements solves for an x-value of 5:

A: one-half of seven more than three times a number is equal to eleven

B :one-half of seven less than three times a number is equal to eleven

C: one-half of three more than seven times a number is equal to eleven

D: one-half of three less than seven times a number is equal to eleven

Question 9

If groceries are budgeted for $250 and the total budget is $1,800, approximately what percent of the budget is spent towards groceries?

A) 1.4%

B) 7.2%

C) 45%

D) 14%

E) 25%

Question 10

The diameter of the first circle is 20 inches. The diameter of the second circle is 10 inches. How many times bigger is the area of the first circle compared to the second circle?

A.) 2 timesB.) 4 timesC.) 6 timesD.) 8 timesE.) 10 times

d= 20 in d= 10 in

Question 11

Kylie uses 3/5 of a cup of vinegar in her salad dressing recipe. How much vinegar would Kylie use to make 1/4 of a recipe?

cups

Question 12

The scatterplot below demonstrates correlation. Which correlation is correctly being demonstrated?

A. Perfect Positive correlation

B. Highly Positive correlation

C. Low Positive correlation

D. No correlation

E. Low Negative correlation

F. Highly Negative correlation

G. Perfect Negative correlation

Question 13

Look at the pictograph, each head equals 4 girls. How many girls were born in April, June, July, and August?

A) 20B) 8C) 45D) 12E) 76

Question 14

The Burger Place is selling cheeseburgers for $2.25 and drinks for $1.50. The Hotdog Stand is selling hotdogs for $1.25 and drinks for $1.75. How many combos (food + drink) would I have to buy at the Hotdog Stand for me to spend the same amount of money at both places?

A) 15 meals

B) 5 meals

C) 4 meals

D) 7 meals

Question 15

What must be the height(h) of the rectangular pyramid be if it has the same volume as the rectangular prism?

A) 5.5B) 6.5C) 7.5D) 8.5E) 9.5

Question 16

Between which pair of whole numbers does the square root of 20 lie?

A) Between 16 and 25B) Between 5 and 6C) Between 4 and 5D) Between 3 and 4E) Between 6 and 7

Question 17

Question 18

You decide to take a road trip; you and a few friends are traveling to another time zone: right now where you are at It is 10 AM. You begin a 9-hour drive and when you reach your destination it is 3 PM. What time is it back at home if it is noon at your destination?

Question 19

Melissa is making lemonade for a lemonade sale. Melissa uses the following recipe to make her special lemonade:

3/4 water1/8 sugar1/8 lemon juice

If Melissa used 1.5 gallons of lemon juice to make her batch of lemonade, how many gallons of water did she use?

A) 12B) 1.5C) 6D) .75E) 9

Question 20

The mean of four numbers is 71.5. If three of the numbers are 58, 76, and 88, what is the value of the fourth number?

A.) 64

B.) 60

C.) 76

D.) 82

Question 21A cone with radius 2 units is shown below. Its volume is 29 cubic units. What is the height of the cone?

(The Volume V of a cone with base radius r and height h is V = 1/3*π(r^2)h.)

A. 13.85B. 9.24C. 6.92D.3.22E.0.79

Question 22

The circular region is divided into ten sectors. What

is the estimated percent of each section ?

A. 10%

B. 12%

C. 8%

D. 11%

Question 23

Sheldon and some friends went to a movie and got popcorn, soda, and candy. The total amount of what they got can be represented by 9p+6.5s+3c where p=popcorn, s=soda, and c=candy. Which partof the equation shows the total cost for popcorn and candy?

A. 9pB. 6.5sC. 6.5s+3cD. 9p+3cE. 9p+3c

Question 24

We measured 10 students in class. There measurements are listed in the table below. What is the median height of these 10 students?

A) 58 in

B) 55 in

C) 56.5 in

D) 56.8 in

Student Height

Sally 52 in

Kyle 60 in

Joe 55 in

Bernard 53 in

Shakira 62 in

Maui 53 in

Denise 60 in

Jakobe 58 in

Scooter 55 in

Leah 60 in

Question 25

What is the midpoint of the coordinates (-10,2) and (2,-10)?

A) (-8,-8)B) (-4,-4)C) (8,8)D) (4,4)E) None of these

Question 26

Find the slope of a line segment that has endpoints of (1, 1) and (5, 9).

A) 4B) 8C) 2D) ½E) 6

Question 27

Question 28

you are wanting to get a different vehicle. A van is worth 2 cars, and a truck is worth 3 vans. How many cars do you need in order to get 2 trucks?

Question 29

Which of the following inequalities is equivalent to -5x+1 > -3x-9?

A) x < 5

B) x > 5

C) x < 4

D) x < 1

E) x > 4

Question 30

Question 31

Fill in the blank:

2/7 ____ 4/11

A. >B. <C. ≥D. ≤E. =

Question 32

Which of the following would be a logical and correct answer for the equation above?

A. 4x + 15

B. 12x + 33

C. -46x - 90

D. 14x + 15 – 10x

Question 33

Looking at a map, 1/3 of an inch is equivalent to 6 actual miles. What is the distance between two people that are 10 inches away from eachother?

A. 180 milesB. 120 milesC. 70 milesD. 220 milesE. 300 miles

Question 34

For which of the following populations would it be most necessary to study using a sample?

(A) Students in one seventh grade class

(B) Teachers in one school

(C) The members of a school’s tennis team

(D) Seventh grade teachers in the state of North Dakota

Question 35

The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 sweaters, $5 books. They want to buy 200 items and send them to schools in earthquake-hit areas. They must order as many books as school bags and sweaters combined. How many of each item will they get?

School Bags = _____Sweaters = _____Books = _____

Question 36

A) AB) BC) CD) DE) none apply

Question 37

Question 38

given the expression x^2+(1/3)x-2y=5, if x=3 what is the value of y? Put your answer as a fraction in simplest terms if needed.

Click to add text

Question 39

DeAndre bought 254 lbs. of dirt to fix the baseball field. 254 lbs. of dirt cost DeAndre $12. Approximately, how much does 1 lb. of dirt cost?

A) $4.72

B) $21.17

C) $30.48

D) $0.05

E) $0.21

Question 40

Question 41

A boy band has released two albums. Their first album sold 5.9x10^5 copies. Their second album sold 1.3x10^6 copies.

How many total copies has this boy band sold?

A. 7.2x10^11 copiesB. 7.67x10^6 copiesC. 7.2x10^6 copiesD. 1.89x10^5 copiesE. 1.89x10^6 copies

Question 42

A. 73 hotdogs, 58 hamburgersB. 95 hotdogs,36 hamburgersC. 58 hamburgers, 73 hotdogsD. 36 hotdogs, 95 hamburgers

At a local ball game the hotdogs sold for S2.50 each and the hamburgers sold for S2.75 each. There were 131 total sandwiches sold for a total value of S342. How many of each sandwich was sold?

Question 43

The lengths of two sides on a triangle are 5 and 7. Which of the following could be the length of the third side?

A. 1B. 8C. 20D. 15E. 13

Question 44

The perimeter of the triangle equals 46 inches. Solve for x to find the side length of cd.

A) 4 in

B) 14 in

C) 16 in

D) 24 in

c

d

b

16

4x

18-x

Question 45

Which is the value of x?

A) 4B) 6C) 8D) 10E) 12

Question 46

A) AB) BC) CD) DE) None of above

Question 47

Question 48

you decide to start a business selling t-shirts. The inventory you have costed 500$. You decide to sell each shirt for 70$. Express in terms of x your revenue after x-shirts.

Click to add text

Question 49

Year

The graph at the right shows gas prices during specific years. Approximately, what is the percent change from 2012 to 2015?

A) 56% increase

B) 1.25% increase

C) 45% increase

D) 56% decrease

E) 1.25% decrease

Question 50

Question 51

After painting his porch, Jamil has ¼ of a can of paint remaining. The can has a radius of 8 cm and a height of 20 cm. He wants to pour the remaining paint into a smaller can for storage. The smaller can has a radius of 5 cm.

What does the height of the smaller can need to be to hold all the paint?

(The volume of a cylinder is V=π(r^2)h.)

A. 15.4 cmB. 12.5 cmC. 15 cmD. 10.4 cmE. 12.8 cm

Question 52

This is a scatter plot showing the amount of sleep needed per day by age. What is the range of hours of sleep per age?A. -20B. 20C. 10D. -10

Question 53

Three baseball players are playing catch. Tucker is directly south of Estelle and directly west of Malia. Tucker and Malia are 8 feet apart and Malia and Estelle are 10 feet apart. How far apart are Tucker and Estelle?

A) 13 ftB) 6 ftC) 7 ftD) 25 ftE) 4 ft

Question 54

What is the inverse function of y = 𝑥−3

27?

A) 𝑦−1 = 27𝑥 + 3

B) 𝑦−1 = 27(x + 3)

C) 𝑦−1 =27

𝑥+3

D) 𝑦−1 = 27x − 3

Question 55

An architect is making a plan for a new circular playground. If the picture below is the playground, approximately how many meters of fencing needs to go up to keep the kids in the playground?

A) 100.5 mB) 201 mC) 3217 mD) 12868 m

Question 56

A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?

Note: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify

A) 1000 meters per minutesB) 1100 meters per minuteC) 1250 meters per minutesD) 1350 meters per minuteE) No correct answer