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

* 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

The correct answer is: DRationale for correct answer: If the units for x represent the number of feet and y represents inches. The numbers would be equivalent to 12 inches in a foot, so it would read from bottom to top 12,24, 36, 48, 60. This would move up 12 inches on the y-axis for every 1 foot on the x-axis.

Related ND Math Standards: 7.RP.2, 8.EE.5, 6.EE.9

For any point (x,y) on the graph, if y represents number of inches, then x could represent the equivalent number of feet. What would the numbers from bottom to top on the y-axis be?

A. 6, 12, 18, 24, 30B. 2, 4, 6, 8, 10C. 10, 20, 30, 40, 50D. 12, 24, 36, 48, 60E. 24, 48, 72, 96, 120

Question 2

The correct answer is: DRationale for correct answer:Two good points to check are when x = 0 and when y = 0. In this case, that would be(0, −1) and (, 0). So, Graph D is the correct answer.

Related ND Math Standards: 8.EE.5 8.F.1 8.F.3 8.F.4 HS.ACED.1* HS.FIF.4*

Graph f(x) = 2x – 1. Which of the following graphs is correct?

Question 3

The correct answer is: CRationale for correct answer: 2 minutes ans 30 seconds equals 150 seconds. 150 divided by 25 equals 6. 6 times .25 equals 1.5 liters

Related ND Math Standards: 7.EE.3

Imagine you are drinking out of a big bottle of soda. You are drinking the soda at a rate of .25 liters per 25 seconds. How much will you drink after 2 minutes and 30 seconds?

A) 2 litersB) 1.75 litersC) 1.5 litersD) 3 litersE) .75 liters

Question 4

The correct answer is: CRationale for correct answer: 1 and 4 cannot be proven that they add up to 180 or 90 degrees, so they cannot be supplementary or complimentary. There are no parallel lines, therefore 1 and 4 cannot be corresponding angles. This results in angles 1 and 4 being vertical angles because they are opposite angles of two intersecting lines.

Related ND Math Standards: HS.G-CO.9, 8.G.5, 7.G.5 , MP.8

A) Supplementary

B) Complimentary

C) Vertical Angles

D) Corresponding Angles

4 1

2

3

Using the image below, angles 1 and 4 are:

Question 5

The correct answer is: BRationale for correct answer: Write the equation of the line in the form of y=mx+b. Since the line goes through the origin, the y-intercept (b) is 0. Next, find the slope. Since the line goes through the origin, the slope (m) will equal y/x. Use the point (0.4,1.4). Slope (m) = y/x = 1.4/0.4 = 3.5. Now use these values to create the equation of the line. Y = 3.5x. Plug 3 in for x to get the answer of y=10.5

Related ND Math Standards: 7.RP.2 , 8.EE.5 , HS.FIF.6*, MP1, MP4, MP7

Question 6

The correct answer is: ARationale for correct answer: Only order that is correct

Related ND Math Standards: 7.SP.1

A city council member wanted to know how her constituents felt about a planned rezoning. She randomly selected 757575 names from the city phone directory and conducted a phone survey.Identify the population and sample in this setting.

A) The population is everyone listed in the city phone directory; the sample is the 757575 people selected.B) The population is residents of the city; the sample is the registered voters in the city.C) The population is registered voters in the city; the sample is everyone listed in the city phone directory.D) Both A and BC) No correct answer

Question 7

The correct answer is: CRationale for correct answer: The total is 45,000 total property – 25000 yard – 6000 house- 12000 garage = 2000 square feet for the family's deck.

Related ND Math Standards: S.ID.1, 2, 3

Question 8

The correct answer is: DRationale for correct answer: the equation created by the statement above is "7=(3x+5)/2. Multiply by 2 on each side that gives you 14=3x+5. And solving that equation for x gives you letter D x=3

Related ND Math Standards: HS.F-BF.2* MP(1,2,4,7)

In the following written expression solve for the value of the unknown number:

seven equals one half of 5 more than three times a number.

A: (11/2)

B: (19/3)

C: (17/3)

D: 3

Question 9

The correct answer is: ARationale for correct answer: 35% = .35. When we are finding the percent of a number, we multiply the percent by that number: $4,400 * (.35) = $1,540.

Related ND Math Standards: 6.RP.3, 7.RP.3, MP1, MP6

Question 10

The correct answer is: Length: 75Width: 75

Rationale for correct answer: To maximize area, the enclosure should be a square. Therefore the dimensions are 75x75.

Related ND Math Standards: 3.MD8 ; MP 4, MP 2

A farmer has 300 yards of fence to use to create a rectangular enclosure. What should the dimensions of the fenced enclosure be to maximize area?

Length:

Width:

Question 11

The correct answer is: 11 ¼ or 45/4Rationale for correct answer: Luther bought 4 ½ times 2 ½ pounds of turnips. Multiply those together after changing them into improper fractions. 4 ½ changes to 9/2. Additionally, 2 ½ changes to 5/2. Multiply 9/2 x 5/2. The numerators multiply to get 45 while the denominators multiply to get 4. The fraction would be 45/4 or simplified to 11 ¼.

Related ND Math Standards: 3.NF.3,5.NF.6

Luther bought a bag of parsnips that weighed 2 1/2 pounds. He also bought a bag of turnips that weighed 4 1/2 times as much as the parsnips. How many pounds of turnips did Luther buy?

Write your answer as a fraction or as a whole or mixed number.

pounds

Question 12

The correct answer is: as x increases, y remains the same.Rationale for correct answer: Looking at the graph, you see a horizontal line meaning that y is constant. As x changes, y remains the same concluding why the answer is D.

Related ND Math Standards: 8.SP.1 8.SP.2 HS.SID.6 HS.SID.7* HS.SID.8*

The scatterplot below suggests a trend between

variables x and y. Which of the following best

describes this trend?

A. As x increases, y decreases.

B. As x increases, y remains negative.

C. As x increases, y increases.

D. As x increases, y remains the same.

E. There is no trend.

Question 13

The correct answer is: DRationale for correct answer: 17 times 8 equals 136

Related ND Math Standards:

1 face equals 8 children

Look at the pictograph, how many students get to school in a car, bus, or on foot?

A) 32B) 112C) 24D) 136E) 144

Question 14

The correct answer is: ARationale for correct answer: To find the least common factor of three terms, we can use the largest number and list its multiples until you find one that is divisible by both of the other two. So, 16 , 32, 48, 64, etc. We can see that 48 is a multiple of both 8 and 12 (8 * 6) and 12 * 4). Sok we need 48 of each item. Packs of cups are sold in 8, so 48/8 = 6 total packages needed.

Related ND Math Standards: 4.MD.1, 6.NS.4, MP.3, MP.4

Kyle is planning a Superbowl party at his house. He went to the store to buy paper plates, napkins, and cups. Paper plates are sold in packages of 12. Cups are sold in packages of 8, and napkins are sold in packages of 16. If Kyle wants the same amount of each item, how many packages of cups does he need to buy?

A) 6 packages

B) 2 packages

C) 8 packages

D) 10 packages

Question 15

The correct answer is: DRationale for correct answer: Volume of a sphere = (4/3) * pi * r^3. Plug in the given values and solve.2144.66 = (4/3) * pi * r^31608.495 = pi * r^3511.9998 = r^38 = r --> d=16

Related ND Math Standards: 6.G.2 , 8.EE.7 , HS.GGMD.3* , MP1, MP6, MP7

Question 16

The correct answer is: BRationale for correct answer: Knowing that 72 = 49 is helpful because we can eliminate at least (C) and (D). If we actually compute the other two, we get 7.12 = 50.41 and 7.22 = 51.84. Since 7.1 is closer, that is the best approximation.

Related ND Math Standards: 8.NS.1

Which is the best approximation of the square root of 51?A) 7.1B) 7.2C) 7.5D) 7.9E) 25.1

Question 17

The correct answer is: DRationale for correct answer: As the X value increases the y values increase at a rapid rate which looks close to exponential.

Related ND Math Standards: S.ID.7, 8, 9

Question 18

The correct answer is: CRationale for correct answer:If it is currently 5 PM where you are now, then in 5 hours when you are at your destination it will be 10 PM. With it being 5 PM at your destination when it is 10 PM. This shows that at home is 5 hours later than your destination , so if it it 8 PM at my destination, it is 5 Hours later aka 1 AM back at your destination.

Related ND Math Standards: HS.F-BF.2*, MP 1,4,6, 7

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 5 PM. You begin a 5-hour drive and when you reach your destination it is 5 PM. What time is it at home where you left if it is currently 8 PM at your destination?

A: 1 PM

B:12 PM

C:1 AM

D: 12 AM

Question 19

The correct answer is: ARationale for correct answer: To keep 5n+4m+12=0, any change is n must be balanced by an opposite change in m. A decrease of 4 in n decreases 5n by 20. To balance the equation, 4m must be increased by 20, which means m increases by 5.

Related ND Math Standards: 6.EE.9, 7.RP.2, MP1, MP2, MP7

Question 20

The correct answer is: ARationale for correct answer: 67 + 87 + 54 + 99 + 78 = 385; 385/5 = 77. 77 is the highest mean score of all three teams

Related ND Math Standards: 6.SP.3 ; MP 4

There are three different basketball teams, and each has played five games. You have each team's score from each of its games.

Suppose you want to join one of the three basketball teams. You want to join the one that is doing the best so far. If you rank each team by their mean scores, which team would have the highest mean score?

A.) Jaguars B.) Wolves C.) Lions

Game 1 Game 2 Game 3 Game 4 Game 5

Jaguars 67 87 54 99 78

Wolves 85 90 44 80 46

Lions 32 101 65 88 55

Question 21

The correct answer is: ARationale for correct answer: Find the volumes of each of the cylinders and divide to find the ratio. Volume of Cylinder A equals π(3^2)*4 which equals 36π. The volume of Cylinder B equals π(5^2)*2 which equals 50π. Take the volume of Cylinder A divided by the volume of Cylinder B. The π will cancel eachother out, leaving 36/50. This reduces to 18/25 by dividing by 2.

Related ND Math Standards: 8.G.C.9, HSG.GMD.A.3, HSG.MG.A.1

What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

A. 18/25B. 5/6C. 6/5D. 25/18E. 5/18

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

Question 22

The correct answer is: .17Rationale for correct answer:First you add up all the decimals that are there, (.132+.13+.11+.208+,25) = .83Then subtract that number by 1, 1 - .83 = .17

Related ND Math Standards: 5.NF.1 5.NF.2 5.NF.6 7.G.4

The circular region is divided into six sectors. Five of

the sectors are labeled with the decimal of the area

of the circular region they represent. What decimal

of the area of the circular region is missing?

A. .13

B. .14

C. .11

D. .17

Question 23

The correct answer is: DRationale for correct answer: 2.75 A represent the total cost for apples that were bought.Therefore, D is the answer

Related ND Math Standards: 7.EE.4, 8.EE.8

Charles went to a market and bought apples and bananas. The equation for total amount he spent is represented by 1.25B+2.75A where A is apples and B is bananas. What part of the equation shows the total amount for all the apples he bought?

A. 1.25B. 1.25BC. 2.75D. 2.75A1.25B+2.75A

Question 24

The correct answer is: DRationale for correct answer: to find the average you take the total hours divided by the total number of students. In this case, 300/x = 2.5. Then 300 = 2.5x, so x = 120 students.

Related ND Math Standards: 7.SP.2, 6.SP.5

On average, a student spends 2.5 hours in the library per week. This week there was a total of 300 hours spent in the library by students. Given the average and the total amount of time spent in the library, estimate how many students spent time in the library this week.

A) 12 students

B) 75 students

C) 750 students

D) 120 students

Question 25

The correct answer is: DRationale for correct answer: The midpoint of two numbers on a number line = (point 1 + point 2) / 2 = ((-4)+ (3/2)) / 2 = (-5/2)/2 = -5/4

Related ND Math Standards: HS.GGPE.6, MP 1, MP4, MP 6

Question 26

The correct answer is: DRationale for correct answer: It's easier to put it in slope-intercept form first in order to find the slope: 5x − 9y + 55 = 0Add 9y to both sides: 5x − 9y + 55 + 9y = 0 + 9y ⇒ 9y = 5x + 55Divide both sides by 9:formulaNow we know the slope and the point it passes through, (-2, 5), we can write the equation in point-slope form:formula

Related ND Math Standards: 8.EE.5

Question 27

The correct answer is: BRationale for correct answer: The total for students ages 7-9 is 50 and there are 17 9-year olds which means the ration is 17/50 which can not be rediced

Related ND Math Standards: S.CP.6, 7, 8, 9

Question 28

The correct answer is: 30Rationale for correct answer: every 3 dragons are worth 5 chameleons, so for 6 dragons, you need 10 chameleons. And a chameleon is worth 3 whales, so with 10 chameleons you need 30 whales. So the answer is 30

Related ND Math Standards: HS.AREI.1 MP: 1,6,7

you and your friend are playing a trading card game. There are 3 animals; a dragon, a whale, and a chameleon. 3 of these whale cards are worth a chameleon card, and for every 5 chameleons are 3 dragon cards. If you want to have 6 dragon cards, how many whale cards do you need to make that trade?

Question 29

The correct answer is: CRationale for correct answer: Solve the inequality for x. Subtract 4x from both sides: 4x-7≥9. Add 7 to both sides: 4x≥16. Divide both sides by 4: x≥4. Because the inequality is greater than or equal to, we need a graph with a closed circle. Because we want our x values to be greater than 4 we want our solutions to be on the right side of 4 on the number line. Therefore, our answer is C.

Related ND Math Standards: 7.EE.4, HS.A-REI.3, MP1, MP6, MP8

Question 30

The correct answer is: CRationale for correct answer: C is the most accurate. "A" does not work because based on the information given, we do not know if the total time was twice the amount. The graph shows the average speed of each leg of the relay. "B" does not work because the graph portrays the average speed of one leg of the relay, not the total time. "D" is close to being accurate, but a person cannot assume that every runner ran faster than the second-place team. The graph represents an average so there could be a runner on the second place team that ran 8 m/sec.

Related ND Math Standards: 7.SP.3; 6.SP.4; MP 4

Question 31

The correct answer is: DRationale for correct answer: Dividing the numerator by the denominator and rounding two decimal places gives us:A= 0.43B= 0.67C= 0.57D= 0.41E= 0.44

Related ND Math Standards:

A. 3/7B. 2/3C. 15/26D. 12/29E. 4/9

Which of the following fractions is least?

Question 32

The correct answer is: 16 – 3(25) ÷ 5Rationale for correct answer:16 – 3(5)2 ÷ 5 first step is to do parenthesis so 8-3.16 – 3(25) ÷ 5 second step is to then square the (8-3) so 5 squared.16 – 75 ÷ 516 – 151

Related ND Math Standards: 6.EE.1 6.EE.3 6.EE.5 8.EE.7

Which of the following would be a logical and correct first and second step in solving the equation

above?

A. 16 – 3(5)2 ÷ 5

B. 16 – 3(25) ÷ 5

C. 16 – 75 ÷ 5

D. 16 – 3(82 – 32 ) ÷ 5

Question 33

The correct answer is: ERationale for correct answer: Take 8*5=4040*2 =80Therefore, the answer is E

Related ND Math Standards: 7.G.1

1/5 represents 2 actual miles on a map. What is the distance between 2 people that are 8 inches apart from each other?

A. 55 milesB. 70 milesC. 25 milesD. 90 milesE. 80 miles

Question 34

The correct answer is: DRationale for correct answer: D is the correct answer, because when you take a random sample, you do not want to use all biased opinions. If you asked only fans in Chicago, then more than likely, more people will select the Bears to win compared to the rest of the U.S.

Related ND Math Standards: 7.SP.1, MP.4

The Chicago Bears and playing the Denver Broncos in a football games one weekend. Luca wants to know which team football fans in the U.S. think will win the game. Which of the following samples is the least likely to be representative of the population?

(A) Fifty randomly selected fans in New York

(B) Fifty randomly selected fans in Houston

(C) Fifty randomly selected fans in Philadelphia

(D) Fifty randomly selected fans in Chicago

Question 35

The correct answer is: Bananas = 2, oranges = 4, papayas = 1Rationale for correct answer: b= number of bananas, o = number of oranges, and p = number of papayasEquation 1: b+o+p=7Equation 2: 2b=oEquation 3: 5.25 = 0.5b+0.75o+1.25pSubsitute equation 2 into equation 1 to make a new equation of b+2b+p=7 which simplifies to 3b+p=7 (equation 4). Next, substitute equation 2 into equation 3 to get 5.25=0.5b+0.75(2b)+1.25p which simplifies to 5.25=2b+1.25p(equation5). solve equatoin 4 for p to get p=7-3b and then subsitute this into equation 5 to get 5.25=2b+1.25(7-3b). Simplify the right side to get 5.25=2b+8.75-3.75b. Simplify the right again to get 5.25=8.75-1.25b. Thus b=2. Subsitute the value fo b into equation 4 to get 3(2)+p=7. Thus, p = 1. Lastly, now that we know b=2 and p=1, subsitute these valeus into equation 1 to get 2+o+1=7. Thus, o=4

Related ND Math Standards: HS.A-REI.6, MP1, MP2, MP6

Question 36

The correct answer is: DRationale for correct answer: D is the only image that correctly rotates 30 degrees from point (2,0)

Related ND Math Standards: 8.G.3

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

Question 37

The correct answer is: DRationale for correct answer: Out of 169 hears, 56 are red and 65 are purple because 1/13 of 169 is 13 times 5 is 65. Which means there are 48 pink hearts.

Related ND Math Standards: S.MD.1, 2, 3, 4

Question 38

The correct answer is: 2Rationale for correct answer: first you can combine like terms such as 2x+5x=7x which gives you 7x+3y=20. Then if we let y equal 2, the new expression is 7x+6=20 and when you continue solving that equation, you end up with the value x=2.

Related ND Math Standards: 6.EE.2 MP (1,4,5,6,8)

In the following expression 2x+3y+5x=20 what is the value of x when y is equal to 2?

Question 39

The correct answer is: BRationale for correct answer: Because each batch of cookies makes 12 cookies and Tamika needs 108 cookies, she needs to make 9 batches of cookies. (108/12 = 9). Multiply each ingredient by 9 to find out how much of each ingredient you need to make 9 batches. A) 1*9 = 9. B) 1.25*9 = 11.25 C) 1.20*9 = 10.8 D) (1/3)*9 = 3. E) .5*9 = 4.5. Therefore, the answer is B.

Related ND Math Standards: 6.RP.1, 6.RP.2, MP(1,2,6,8)

Question 40

The correct answer is: A: 3; B: 1; C: 4; D: 2;Rationale for correct answer: A is 3 because the dot plot correctly shows the data given by the histogram. Both graphs start at 5 and end at 30. B is 1 because both graphs share the high number of data points with no lower number data points. C is 4 because both graphs have data spread throughout the entire range of values. D is 2 because of the high intensity of the middle data values of both graphs.

Related ND Math Standards: 7.SP.3; 6.SP.4; MP 4, MP 6

Match histograms A through E to dot plots 1 through 4 so that each match represents the same data set.

A:

B:

C:

D:

4

Question 41

The correct answer is: CRationale for correct answer: Take the thickness of the bill time the number of bills0.0001 times 4x10^12(0.0001x4)x10^120.0004x10^12Proper scientific notation has a single digit before the decimal, moving the decimal to the right lowers the power of ten.4x10^8 would be the proper answer since the decimal was moved 4 times.

Related ND Math Standards: 8.EE.3, 8.EE.4

If a one-dollar bill is 0.0001 meters thick, how many meters tall would a stack of 4 trillion one-dollar bills be?

For reference:1 trillion = 10^12

A. 4x10^12 metersB. 4x10^16 metersC. 4x10^8 metersD. 1x10^12 metersE. 1x10^16 meters

Question 42

The correct answer is: 342 child & 236 adultsRationale for correct answer:Equation 1 $985=$2a + $1.50cEquation 2 578 = a + cSet equal to each other985 = 2a+1.50c578 = a+cEliminate one variable985 = 2a+1.50c867 = 1.5a + 1.5c118 = .5a + 0236 = adults 578-236=342 child

Related ND Math Standards: 5.MD.1 7.EE.4 6.RP.3 7.EE.3

The attendance at a school concert was 578. Admission was $2.00 for adults and $1.50 for children. The total receipts were $985.00. How many adults and how many children attended?

A. 236 adult, 342 childrenB. 424 adults, 154 childrenC. 300 adults, 295 childrenD. 450 adults, 128 children

Question 43

The correct answer is: DRationale for correct answer: Side length has to be between 18-12 which is 6 and 18+12 which is 30So the correct answer is D.

Related ND Math Standards: 8,G.7

A triangle has length of 12 and 18. Which of the following could be the length of the third side?

A. 4B. 3C. 40D. 25E. 50

Question 44

The correct answer is: CRationale for correct answer: We need to setup an equation where 16 cookies per pack + 12 cookies per pack will get us to 224 total cookies. 16x + 12x = 224 or 28x = 224.X= 224/28 = 8 packs each. 16(8) + 12(8) = 224

Related ND Math Standards: 6.EE.6, MP.3, MP.5

Katie went to the store and bought cookies. Sugar cookies came in packs of 12, while chocolate chip came in packs of 16. If Katie got a total of 224 cookies and bought the same number of packs of sugar cookies and chocolate chip cookies. How many of each pack did she buy?

A) 4 each

B) 7 each

C) 8 each

D) 16 each

Question 45

The correct answer is: BRationale for correct answer: The Pythagorean theorem states (leg 1 length)^2 + (leg 2 length)^2 = (hypotenuse length)^224^2 + (3+x)^2 = 25^2576 + (3+x)^2 = 625(3+x)^2 = 493+x = 7x=4

Related ND Math Standards: HS.GSRT.8*, MP1, MP4, MP6

Question 46

The correct answer is: CRationale for correct answer: Using the graph, if you follow over from 46, it matches up with the graph

Related ND Math Standards: 5.G.2

A) 14B) 42C) 46D) 60E) None of above

Question 47

The correct answer is: None of themRationale for correct answer: None of the answers represent the class finding one of the answers.

Related ND Math Standards: S.CP.1, 2, 3, 4, 5

Question 48

The correct answer is: 5000-1250xRationale for correct answer: you start off with owing $5000 and what you owe goes down by $1250 each month. So the total you owe after an x amonth of months is represented by 5000-1250x

Related ND Math Standards: 6.EE.6 MP(1,3,4,7)

It is your first semester of college and you take out a $5000 loan and In order to pay the loan off by the end of the semester you have a monthly payment of $1250. write an expression that represents the money you still owe for the semester after x months

Question 49

The correct answer is: ARationale for correct answer: Percent of change is the new wage minus the original wage all divided by the original. Then you multiply it by 100 to get your percent. 𝑁𝑒𝑤−𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙

𝑂𝑟𝑖𝑔𝑖𝑛𝑎𝑙∗ 100 $12 is the original and $14 is his new wage. Therefore, the answer is A.

Related ND Math Standards: 7.RP.3, 7.EE.3, MP(1,2,4,6)

Question 50

The correct answer is: BRationale for correct answer: Because x is increasing steadily by 2 and the increase of y is not steady, this relationship cannot be linear, so choices a, c, d, and e are ruled out. These are all linear equations because the x value does not have an exponent. This just leaves choice b, and testing a few of the values in y = x^2 + 2 shows that this is the correct equation: 38 = 6^2 + 2 and 18 + 4^2 + 2.

Related ND Math Standards: 8.F.4; MP 4, MP 1

Question 51

The correct answer is: CRationale for correct answer: Insert the values in the volume formula to determine the height of the liquid. The radius of the new cylinder will be 3 cm. 36π= π(3^2)h36π= 9 πh36/9= h4 = h

Related ND Math Standards: 8.G.9

A graduated cylinder is filled with 36π cm cubed of liquid. The liquid is poured into a different cylinder that has a radius of 3 cm.

What will the height of the liquid in the new cylinder?

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

A. 13 cmB. 9 cmC. 4 cmD. 3 cmE. None of the above

Question 52

The correct answer is: 5.6 hoursRationale for correct answer: Ordering the data from least to greatest, we get:2.7, 3.5, 4.9, 5.1, 8.3highest - lowest = 8.3 hr - 2.7 hr = 5.6 hrAnswer: The range of swim times is 5.6 hr.

Related ND Math Standards: 6.SP.2 6.SP.3 6.SP.5 8.SP.1 HS.SID.2*

A marathon race was completed by 5 participants. What is the range of times given in hours below?2.7 hr, 8.3 hr, 3.5 hr, 5.1 hr, 4.9 hr

1.5.6 hr2.2.2 hr3.3.07 hr4.4.9 hrs

Question 53

The correct answer is: ARationale for correct answer: Using the Pthagorean theorem 4 squared plus 3 squared equals 25. Square root of 25 equals 5.

Related ND Math Standards: 8.G.7,

Three people are sitting on a bus. Paul is seated 4 meters directly behind Dakota and 3 meters directly left of Abby. How far is Dakota from Abby?

A) 5 metersB) 6 metersC) 10 metersD) 2 metersE) 12 meters

Question 54

The correct answer is: CRationale for correct answer: To find how many hours Kallene has to work to get her amount she wants, you have to first write down the equation given within the problem.Y = 8.50x + 20. Where y is total amount and x is hours.

Then, we would have to solve for x or find the inverse of the equation.8.50x = y – 20X = (y-20)/8.50.

Related ND Math Standards: 5.OA.2, 6.EE.6, HS.F-BF.4*, MP.1, MP.7

Kallene started with $20 this week. She works at a gas station that pays her $8.50 per hour. She works (x) amount of hours this week and has (y) amount of money at the end of the week. Write an expression in terms of how much money (y) she will have after a specific amount of hours (x) worked.

A) x = 8.50y + 20

B) x = 8.50(y-20)

C) x = (y-20)/8.50

D) x = 20 + (y/8.50)

Question 55

The correct answer is: ARationale for correct answer:Circumference = 2*pi*r = 2*pi*4 = 25.13

Related ND Math Standards: 7.G.4 , MP1, MP4, MP6, MP7

Question 56

The correct answer is: ARationale for correct answer:Raul 66* (2/3) = 44

Omar 88* (¼) = 22James 25* (½ )= 12.5

Related ND Math Standards: 5.NF2

Raul bought 66 tangerines and ate 2/3 of them.Omar bought 88 tangerines and ate ¼ of them.James bought 25 tangerines and ate ½ of them .

Who ate more tangerines?

A) RaulB) OmarC) JamesD) They ate the same number of tangerines.E) Not enough data to decide