Question 1

The scatterplot shows the number of visitors to a beach each day and the high temperature in degrees Fahrenheit for that day. Based on this scatterplot, which statement appears to be true?

Accepted Answer

When the high temperature is between 75°F and 90°F, more than 120 visitors are expected at the beach.

Answer

There is a nonlinear correlation between the high temperature and the number of visitors to the beach.

Answer

When the high temperature is above 100°F, fewer than 150 visitors are expected at the beach.

Answer

There is no correlation between the high temperature and the number of visitors to the beach.

Question 2

A man bought x boxes of doughnuts for $3.49 each. He paid with a $50 bill and received the correct amount of change. If he received more than $10 but less than $20, which inequality represents the number of boxes of doughnuts he could have bought?

Accepted Answer

9 ≤ x ≤ 11

Answer

9 ≤ x ≤ 12

Answer

8 ≤ x ≤ 11

Answer

8 ≤ x ≤ 12

Question 3

The graph of quadratic function r is shown on the grid. What is a solution to r(x) = 0?

Accepted Answer

14

Answer

4

Answer

-60

Answer

-50

Question 4

The function y = 6 + 1.25x can be used to find the cost of joining an online music club and buying x songs from the website. Based on this information, which statement about the graph of this situation is true?

Accepted Answer

The y-intercept of the graph represents the cost of joining the music club.

Answer

The slope of the graph represents the total number of songs bought by members of the club.

Answer

The slope of the graph represents the number of songs each member buys when visiting the website.

Answer

The y-intercept of the graph represents the cost of each song.

Question 5

The first five figures in a pattern are shown below. Each figure is made up of identical circles. If the pattern continues, which expression can be used to find the number of circles that make up Figure n?

Accepted Answer

n$^2$ + 2n

Answer

2n$^2$ + 1

Answer

2n$^2$ + n

Answer

n$^2$ + 2

Question 6

One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?

Accepted Answer

81 pairs of walking shoes and 54 pairs of running shoes.

Answer

45 pairs of walking shoes and 90 pairs of running shoes.

Answer

54 pairs of walking shoes and 81 pairs of running shoes.

Answer

90 pairs of walking shoes and 45 pairs of running shoes.

Question 7

The mapping below represents y as a quadratic function of x. Which representation shows the same relationship between x and y?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/021b6d9ef378409ba7ba3134a30c8653bc87d535.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/66fc9894aebe25cea955d4ad3175ce5ce510f893.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/271049d67a2de5e03a5fec1b05e76bd0993437b5.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/48d31d6044551dd734c9a0242b426f8fdc2d9a85.png

Question 8

The slope of the line that passes through the points (−6, w) and (−10, 4) is $\frac{1}{8}$. What is the value of w?

Accepted Answer

$\frac{9}{2}$

Answer

$\frac{1}{2}$

Answer

36

Answer

34

Question 9

The population of Webb County, Texas, from the year 2000 through 2010 is shown in the graph. If the trend shown in the graph continues, what will be the population of Webb County in 2015?

Accepted Answer

278,500

Answer

158,000

Answer

307,000

Answer

471,500

Question 10

A city employee paints curbs in parking lots and replaces road signs. It takes 0.5 hour to paint a parking lot curb and 2.5 hours to replace a road sign. The function below can be used to find c, the number of parking lot curbs the employee paints when he replaces r road signs in a 40-hour workweek.

c = $\frac{40 - 2.5r}{0.5}$

If the employee painted 20 curbs in one week, how many road signs did he replace that
week?

Accepted Answer

12

Answer

20

Answer

30

Answer

0

Question 11

Customers at a bank are charged a fee when they exchange U.S. dollars for foreign currency. The function 
f (x) 78.5x − 392.5 can be used to determine the number of Japanese yen a customer receives in exchange for x dollars, where x > 5. Which table shows this relationship?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ead7b940dd993b21f3883844d3732f27f7e42bb5.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/b691c80cdf9786a1082f646a7b9f75cad0cc0572.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ed470c4ef21badf77daee882d9c57c58f75d1413.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/37edabac677c92001ae9decd1c0b72cfc111719c.png

Question 12

A rectangular prism has a width of x inches, a length of x$^2$y inches, and a height of y$^2$ inches. Which expression represents the volume in cubic inches of this rectangular prism?

Accepted Answer

x$^3$y$^3$

Answer

x$^2$y$^2$

Answer

4x$^3$y$^3$

Answer

4x$^2$y$^2$

Question 13

The graph of line t is shown on the grid. Line w is steeper than line t and has a y-intercept that is below the y-intercept of line t. Which function could be represented by line w?

Accepted Answer

y = - $\frac{2}{3}$ x - 1

Answer

y = - $\frac{4}{3}$ x + 4

Answer

y = - $\frac{3}{8}$ x + 4

Answer

y = - $\frac{1}{4}$ x - 1

Question 14

A senior employee who works 16 hours earns $39.50 more than a junior employee who works 18 hours. The senior employee earns $14 per hour. What is the hourly pay in dollars and cents for the junior employee?

Accepted Answer

10.25

Question 15

In three different workouts a runner burned 300 calories in 30 minutes, 350 calories in 35 minutes, and 200 calories in 20 minutes. Based on the data, which statement is true if the number of calories burned is a function of the number of minutes the runner worked out?

Accepted Answer

The number of calories burned is the dependent quantity.

Answer

The number of minutes the runner worked out is the dependent quantity.

Answer

The number of steps the runner takes is the dependent quantity.

Answer

The number of workouts the runner completed is the dependent quantity.

Question 16

What is the range of the function graphed on the grid?

Accepted Answer

{y | -3 ≤ y ≤ 4}

Answer

{x | x = −2, 2, 4}

Answer

{y | y = -3, 0, 4}

Answer

{y | -2 ≤ y ≤ 4}

Question 17

Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true?

Accepted Answer

I and III

Answer

I only

Answer

II only

Answer

II and IV

Question 18

A scientist needs to print a research report on her computer’s printer. If she prints in black ink only, b(t) 152 − 33t describes the number of pages left to print after t minutes. If she prints in colored ink, c(t) 152 − 30t describes the number of pages left to print after t minutes. Based on this information, which statement is true?

Accepted Answer

The printer prints 3 fewer pages per minute in colored ink than in black ink.

Answer

The printer prints 3 more pages per minute in colored ink than in black ink.

Answer

The printer prints the entire research report in 152 minutes.

Answer

The printer prints the same number of pages per minute in either type of ink.

Question 19

Which expression is equivalent to:

Accepted Answer

3m$^2$ + 7m − 6

Answer

3m$^2$ + 5m - 1

Answer

$\frac{3}{4}$m$^2$ + $\frac{23}{9}$m - 6

Answer

$\frac{3}{4}$m$^2$ + $\frac{5}{9}$m - 1

Question 20

The graph of an equation in the form y = mx + b is shown on the grid. 
Based on the graph, what is the value of x when y = −7?

Accepted Answer

-5

Question 21

When a contractor paints a square surface that has a side length of x feet, he needs to know the area of the surface in order to buy the correct amount of paint. Since the contractor always adds 25 square feet to the area, he buys extra paint. Which function can be used to find the total area in square feet, A(x), that the contractor will use to determine how much paint he needs to buy?

Accepted Answer

A(x) = x$^2$ + 25

Answer

A(x) = 25x$^2$

Answer

A(x) = (25 + x)$^2$

Answer

A(x) = (25x)$^2$

Question 22

The graph below shows the change in the value of a car over several years. Based on the information in the graph, which conclusion appears to be true?

Accepted Answer

The car lost less of its value between years 9 and 10 than between years 1 and 2.

Answer

The car lost about one-quarter of its value every year.

Answer

The car lost more of its value between years 9 and 10 than between years 1 and 2.

Answer

The car lost about one-half of its value every 3 years.

Question 23

What is the equation in standard form of the line that passes through the point (4, −8) and has a slope of $\frac{1}{4}$?

Accepted Answer

x − 4y = 36

Answer

x − 4y = 28

Answer

x − 4y = −36

Answer

x − 4y  = −28

Question 24

A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 new spiral notebooks and 5 new memo books is 810. Which system of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one new memo book?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ac6b06edd501e7feae42139dc9399d8f8f94049b.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/73673b4dd92eb2dbee6e073655c0b256da29b815.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/0e187f8ac4437589e203930649349ad7cdf2e215.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ada9de9bb88082aeea469b2a0ea9c9d754916d58.PNG

Question 25

Which function is equivalent to 
f(x) = 6x$^2$ - 13x + 5?

Accepted Answer

f(x) = (3x − 5)(2x − 1)

Answer

f(x) = (3x − 5)(2x + 1)

Answer

f(x) = (3x − 1)(2x + 5)

Answer

f(x) = (3x − 1)(2x − 5)

Question 26

The average blue whale gains weight at a constant rate each day during its first six months of life. The relationship between the average blue whale’s weight in tons, w, and its age in days, d, for the first six months of its life can be modeled by the function w = 0.1d + 3. Based on this relationship, which statement is not true for the average blue whale?

Accepted Answer

When the average blue whale is 5 days old, it weighs 20 tons.

Answer

The average blue whale gains 0.1 ton per day during its first six months of life.

Answer

The average blue whale weighs 3 tons at birth.

Answer

When the average blue whale weighs 18 tons, it is 150 days old.

Question 27

Quadratic functions g and k are shown below.

g(x) = 5x$^2$ - 12
k(x) = 5x$^2$ + c

For what value of c will the graph of k be 9 units above the graph of g?

Accepted Answer

-3

Question 28

A customer pays an annual membership fee of $85 to a neighborhood car wash. Each time he takes his car to the car wash, he pays only $7. The total amount of money he spends at the car wash in one year in dollars can be found using the function y = 7x + 85. What does the variable x represent in this function?

Accepted Answer

The number of times the customer takes his car to the car wash in one year.

Answer

The total amount of money the customer spends each month at the car wash.

Answer

The number of months the customer has been a member at the car wash.

Answer

The cost each time the customer takes his car to the car wash.

Question 29

The owner of a store buys large boxes of candy bars from a warehouse and repackages them to sell in smaller boxes in his store. The store owner packages 4 candy bars in each small box. Each large box contains 24 candy bars. Which graph represents the relationship between x large boxes and y small boxes?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/235d5420eec29e17bf934a6595070dea3697bbc5.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ae3c782a4accf7a95b030ef14a49411de58fb336.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/4135a8d7425fa826c6d0dde7648e9fe4de58aedb.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/e96d47ff9771198216911ef891ea186c1c8bf41c.PNG

Question 30

The function L = 0.8T$^2$   models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

Accepted Answer

6.1 s

Answer

4.9 s

Answer

5.4 s

Answer

6.8 s

Question 31

Airline passengers pay 439 dollars to fly to California. For this price, customers may check 2 pieces of luggage. There is a fee of 25 dollars for each additional piece of luggage a passenger wants to check. Which function can be used to find the amount in dollars a passenger has to pay to fly with p pieces of luggage, where p ≥  2?

Accepted Answer

c = 25(p - 2) + 439

Answer

c = $\frac{p}{25} $ + 439

Answer

c = 25p + 439

Answer

c = $\frac{p - 2}{25}$ + 439

Question 32

There are 32 founding members of an organization. The function  y = 3x$^2$ +32   can be used to determine the number of members in the organization after x months. Based on this function, which statement is true?

Accepted Answer

At the end of 6 months, there will be 140 members in the organization.

Answer

The number of members in the organization increases by 3 members each month.

Answer

At the end of 16 months, there will be 288 members in the organization.

Answer

The number of members in the organization increases by 9 members each month.

Question 33

The scatterplot below shows the relationship between the number of baseballs used in 14 games and the number of pitches thrown in these games. 
Based on the scatterplot, what is the best prediction of the number of baseballs that will be used if 275 pitches are thrown?

Accepted Answer

100

Answer

150

Answer

160

Answer

60

Question 34

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

Accepted Answer

80

Question 35

What is the value of x in the solution to this system of equations?

3x = 2y + 14
y = -6x + 18

Accepted Answer

$\frac{10}{3}$

Answer

2

Answer

-$\frac{10}{3}$

Answer

-2

Question 36

The table represents some points on the graph of linear function g.  The graph of g was translated down 10 units to create the graph of function h. Which statement comparing the graphs of g and h is true?

Accepted Answer

The y-intercept of the graph of g is 10 units above the y-intercept of the graph of h.

Answer

The graph of g is less steep than the graph of h.

Answer

The x-intercept of the graph of g is 10 units to the right of the x-intercept of the graph of h.

Answer

The graph of g is steeper than the graph of h.

Question 37

What are the solutions to the equation
3x$^2$ + 15x = 18?

Accepted Answer

x = −6 and x = 1

Answer

x = 6 and x = 13

Answer

x = −3 and x = −2

Answer

x = 0 and x = 1

Question 38

A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing boxes at twice the rate before the break. The worker then spent 1 hour cleaning the work area. Which graph models this situation?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/f39fec0b2ed5bd7e44736d11530095aecc2610bd.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/a7356f62a8cee75eccbf14a2c65935020b0030bd.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/628d823537d105763ab428c34a50f8a3550fb96c.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/1a5175d030b5a793141913139077ae498963ccd4.PNG

Question 39

The table represents some points on the graph of linear function h. Which situation can be modeled by this function?

Accepted Answer

The remaining number of miles on a 620-mile trip after traveling 65 miles per hour for x hours.

Answer

The number of miles an airplane had traveled after flying 555 miles per hour for x hours.

Answer

The amount owed on a $555 loan after paying $65 per month for x months.

Answer

The cost in dollars of buying x items that cost $245 each.

Question 40

Which inequality represents all the values of x for 
y ≤ 6(x − 18) − 2 when y = 46?

Accepted Answer

x ≤ 10

Answer

x ≤ 11

Answer

x ≥ -11

Answer

x ≥ 10

Question 41

What is the zero of r(x) = $\frac{8}{3}$x -16?

Accepted Answer

6

Answer

16

Answer

-16

Answer

-6

Question 42

The cost of parking in the garage at the airport is $16 per day. A separate parking facility outside the airport charges 25% less per day to park. What would be the savings in dollars and cents of parking for 6 days in the facility outside the airport instead of in the airport garage?

Accepted Answer

24

Question 43

Two functions are given below. How does the graph of p compare with the graph of q?

Accepted Answer

The graph of p is less steep than the graph of q.

Answer

The graph of p is steeper than the graph of q.

Answer

The graph of p has a different y-intercept than the graph of q.

Answer

The graph of p is parallel to the graph of q.

Question 44

The graph models A, the area in square feet of a rectangular porch with a length that is 0.56w less than 28 ft given a width of w feet. Based on the graph, what is the width in feet of the porch with the greatest area?

Accepted Answer

25 ft

Answer

175 ft

Answer

50 ft

Answer

350 ft

Question 45

The owner of a clothing store buys T-shirts for c dollars each and sells them for p dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800. This month she bought 400 T-shirts and sold them all and made a profit of $2,400. Which system of equations can be used to determine the values of c and p?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/8615c5504651eb830906cced3fd752562cff518b.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/b3d4d16af4ea14e7153922bc2367b701c959b6e6.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ade649595ca2d5e8423ef69c01abb1358a56c2f9.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/3854ffa10ba9307db2418814d3da0158d8ebb80b.PNG

Question 46

Which representation does not show y as a function of x?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ed5804fd1f3bb37c79e1767053fcddf5d7a57a38.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/740ecc6578cf450d2d03bae8d785aa617ea633e4.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/912db488cfcbff43d00351d146e37433859c584f.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/470fc5d4edc450a99d8b657317bde90620559b9d.PNG

Question 47

The graph below shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours the truck has been driven. What does the x-intercept of the graph represent?

Accepted Answer

The number of hours the truck was driven before running out of fuel.

Answer

The number of hours required to use one gallon of fuel.

Answer

The number of gallons of fuel in the truck before any driving occurred.

Answer

The number of gallons of fuel the truck can hold.

Question 48

If f(x) = (x - 3)$^3$ + 4 and g(x) = x$^3$ + 2, which statement is true?

Accepted Answer

f (8) =  g(3)

Answer

f(0) = g(-1)

Answer

f(-2) = g(-3)

Answer

f(2) = g(1)

Question 49

Which graph represents the inequality −2x + 7y ≤ 112?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/ca7e2ca182d8a62aaf2f6b891ee34a228ee5065e.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/52ee84009b7f3d090d48b55789a7b77dfcfe1fd4.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/c4745b864b5e990600f89d6e0466731aa14fa7eb.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/25dc277f714c4844ea676e833ebc60fec6fe172d.PNG

Question 50

If the value of y varies inversely with x, which function represents the relationship between x and y if y = 48 when x = 3?

Accepted Answer

y = $\frac{144}{x}$

Answer

y = $\frac{16}{x}$

Answer

y = $\frac{x}{144}$

Answer

y = $\frac{x}{16}$

Question 51

Function k has a parent function. The table shows some ordered pairs that belong to k. Which graph shows the parent function of k?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/361586964d9fa58870cd3dba1f57da8287a976d4.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/9ec7799dcc4e7c8d7b80be5caf7a19d6615640b5.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/6d9fafbbf6edd6a9db3ce35d85591392794aad6e.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/0eef961ef096ca8c045449b8689c834708b60bfe.PNG

Question 52

What is the solution to the system of equations below?

4x - 7y = -2
12x - 21y = -42

Accepted Answer

There is no solution.

Answer

The ordered pair (-$\frac{1}{2}$, 0) is the solution.

Answer

The ordered pair (0, $\frac{2}{7}$) is the solution.

Answer

There are an infinite number of solutions.

Question 53

The graphs show the cost of attending a county fair on Thursday and on Saturday and playing x games each day. Based on the graphs, which statement is true?

Accepted Answer

A person would spend $4 more to attend the fair and play 6 games on Saturday than on Thursday.

Answer

The cost of each game on Saturday is $2 less than the cost of each game on Thursday.

Answer

A person would spend $3 more to attend the fair and play 5 games on Thursday than on Saturday.

Answer

The cost of each game on Thursday is $0.50 less than the cost of each game on Saturday.

Question 54

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?

Accepted Answer

{52, 72, 86, 105}

Answer

{3, 4, 5, 6}

Answer

{3, 4, 5, 6, 52, 72, 86, 105}

Answer

{52, 105}

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