Question 1

Karen and Maria each open a savings account at the same time. They only make deposits into their accounts and do not make withdrawals.

$\quad\bullet\enspace$ When Karen opens her account she deposits $$\$28$$ into it. She then deposits $$\$5$$ into her account each week.
$\quad\bullet\enspace$ The total amount of money $(y)$, in dollars, in Maria's account x weeks after it is opened is
described by the function $y = 8x + 7$.

What is the total amount of money that each girl has in her account $2$ weeks after they have the same amount of money in their accounts?

Accepted Answer

Karen has $$\$73$$.
Maria has $$\$79$$.

Answer

Karen has $$\$58$$.
Maria has $$\$55$$.

Answer

Karen has $$\$45$$.
Maria has $$\$72$$.

Answer

Karen has $$\$185$$.
Maria has $$\$128$$.

Question 2

Which relation is NOT a function?

Accepted Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/e31f78e1-0e3d-2a06-a9b6-d6ed0518c693.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/651a8051-5f0a-4e33-6c9e-2d3e4141fbef.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/179f2c8a-bb55-04fa-687c-c1490870ecf2.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/bdc59054-fdb8-f483-d707-c44acf2fffff.png

Question 3

An online video service offers two price options. Pricing for option A is given by $y = 2x + 10,$ wher e$x$ is the number of videos watched and y is the total cost in dollars. Pricing for option $	ext B$ is shown in the graph below.

Both options include an initial charge and a charge per video watched. Which statement correctly compares the two price options?

Accepted Answer

Option A has a higher initial charge and a higher charge per video watched.

Answer

Option A has a higher initial charge, and option B has a higher charge per video watched.

Answer

Option B has a higher initial charge and a higher charge per video watched.

Answer

Option B has a higher initial charge, and option A has a higher charge per video watched.

Question 4

The school is located 12 miles from the bus stop. Which bus arrives at the school first, and what is the speed of that bus?

Accepted Answer

Barry's bus arrives at the school first with a speed of 1.2 miles per minute.

Answer

Sofia's bus arrives at the school first with a speed of 0.6 miles per minute.

Answer

Sofia's bus arrives at the school first with a speed of 1.67 miles per minute.

Answer

Barry's bus arrives at the school first with a speed of 0.83 miles per minute.

Question 5

Which equation describes a function that is nonlinear?

Accepted Answer

$y = x^2$

Answer

$y = \frac{x+1}{2}$

Answer

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

Answer

$y = 2x + 7$

Question 6

Sonia opened a savings account and then added the same amount to the savings account every week. After $5$ weeks, her savings account had a total of $$\$45$$. After $10$ weeks, her savings account had a total of $$\$70$$. Which equation represents the amount of money $(y)$, in dollars, in Sonia's savings account after $x$ weeks?

Accepted Answer

$y = 5x + 20$

Answer

$y = 7x$

Answer

$y = 20x +5$

Answer

$y = 9x$

Question 7

Andrea walks $5$ miles from the library to her home. She starts walking at an average rate of $2$ miles per hour. After 1 hour, she stops walking for $0.25$ hour. When she begins walking again, Andrea walks at an average rate of $3$ miles per hour until she arrives home. Which graph represents Andrea's distance $(y)$, in miles, from her home as a function of the amount of time $(x)$, in hours, since she left the library?

Accepted Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/26a7cbf5-0dbd-3e14-7f14-c3359706a622.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/80995b14-2f70-0a4a-6536-13ea246efa0c.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/d11de613-3474-c696-e8c5-49ecafd9a099.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/b1bfcc8b-d50f-b58c-3cde-5188a14aa2c8.png

Question 8

The manager of a small chain of restaurants compared the sales at different restaurant locations. She drew a graph comparing the daily sales, in dollars, to the number of competing restaurants in the neighborhood.

Based on the graph, how much do the daily sales change with each additional competitor in the neighborhood?

Accepted Answer

The daily sales decrease by $100.

Answer

The daily sales increase by $100.

Answer

The daily sales increase by $200.

Answer

The daily sales decrease by $200.

Question 9

At a market, assorted fruit costs $$\$3$$ per pound for the first $10$ pounds of fruit purchased. After the first $10$ pounds, the fruit costs $$\$2$$ per pound. Which graph represents the total cost $(y)$, in dollars, of going to the market as a function of the weight of fruit $(x)$, in pounds, purchased?

Accepted Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/824c27d7-f1d8-0e46-a235-4f6d9822c7e1.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/85d31753-f1c5-ddfd-c832-56982492a3b4.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/12c589cd-b532-1863-dc46-946907a66fb5.png

Answer

https://uploads.quizalize.com/33d20168-a570-45b4-843a-ee703ca71b4d/question/0be1d5c5-9c14-2ede-9d73-a8574bb507e6.png

Question 10

Marianna has been adding $$\$30$$ to her savings account every month. Which model could represent the money in Marianna's savings account $(y)$ after $x$ months?

Accepted Answer

https://uploads.quizalize.com/72cd0b1f-3817-ad32-a5e4-f1d9ebc7d7b9/question/d7996250-d34e-673c-3af9-957b9696cf97.png

Answer

https://uploads.quizalize.com/72cd0b1f-3817-ad32-a5e4-f1d9ebc7d7b9/question/d42596a6-0830-af0e-082d-f29bd63e8211.png

Answer

https://uploads.quizalize.com/72cd0b1f-3817-ad32-a5e4-f1d9ebc7d7b9/question/f9677852-fa90-74a0-01d1-271d607664b7.png

Answer

https://uploads.quizalize.com/72cd0b1f-3817-ad32-a5e4-f1d9ebc7d7b9/question/8fd80a2f-a992-ec7a-9341-b43d8389e7dc.png

Question 11

Two linear functions of x are shown below.

Which statement about the functions is true?

Accepted Answer

The rate of change of function $1$ is greater than the rate of change of function $2$.

Answer

The $	ext{y-intercept}$ of function $1$ is less than the $	ext{y-intercept}$  of function $2$.

Answer

Function $2$ can be described by the equation $y = 100	ext x - 11$.

Answer

Function $2$ can be described by the equation $y = 35	ext x - 109$.

Question 12

Luis is building a new deck and needs to have a slab of concrete poured. He knows the contractor charges an initial cost of $$\$75$$ plus an additional $$\$2.50$$ per square foot of concrete.
Which equation can be used to determine the cost $(y)$, in dollars, to pour a concrete slab with an area of $	ext x$ square feet?

Accepted Answer

$y = 2.5x + 75$

Answer

$y = 7.5x + 2.5$

Answer

$y = 77.5x$

Answer

$y = 75x + 2.5$

Question 13

The graph below shows the relationship between the number of years after a car is purchased and the car's value.

Which statement correctly describes the relationship shown in the graph?

Accepted Answer

The car's initial value is $$\$30,000,$$ and the car's value decreases $$\$2,000$$ each year.

Answer

The car's initial value is $$\$18,000,$$ and the car's value increases $$\$2,000$$ each year.

Answer

The car's initial value is $$\$30,000,$$ and the car's value decreases $$\$12,000$$ each year.

Answer

The car's initial value is $$\$2,000,$$ and the car's value increases $$\$30,000$$ each year.

Question 14

Which relation is a linear function with the GREATEST slope?

Accepted Answer

https://uploads.quizalize.com/352e0d21-5376-c316-f6a8-bd15dc88d9bf/question/7eea876e-dec2-ab1d-86d6-4f3568593271.png

Answer

https://uploads.quizalize.com/352e0d21-5376-c316-f6a8-bd15dc88d9bf/question/6fab53ff-a6d9-583d-9a03-418e969ac706.png

Answer

https://uploads.quizalize.com/352e0d21-5376-c316-f6a8-bd15dc88d9bf/question/5ab77e32-7c85-2680-31cc-d2c1c55f9b02.png

Answer

https://uploads.quizalize.com/352e0d21-5376-c316-f6a8-bd15dc88d9bf/question/dbeee90d-bcc2-6ac2-5389-2a364c8ef645.png

Question 15

A parking lot charges a monthly fee plus a charge per day for a car parked in the lot. The graph below shows the relationship between the total cost $(y)$, in dollars, and the number of days $(x)$ the car is parked in the lot.

Which equation could represent the relationship between the total cost $(y)$, in dollars, and the number of days $(x)$ the car is parked in the lot?

Accepted Answer

$y = mx + b$

Answer

$y = mx$

Answer

$y = x^2$

Answer

$y = x^2+b$

Question 16

Which situation can be modeled by the equation $y = mx + b$?

Accepted Answer

The total income $(y)$ of a worker who earns $8$ dollars per hour depends on the number of hours $(x)$ worked.

Answer

The volume $(y)$ of a cylindrical tank with a height of $2$ feet depends on the radius $(x)$ of the tank.

Answer

The time $(y)$ it takes a car to travel $100$ miles depends on the speed $(x)$ of the car.

Answer

The number of butterflies $(y)$ in a population doubles every month $(x)$.

Question 17

Ben currently has $$\$70$$ in his trip fund. He makes $$\$45$$ per week doing yard work for his neighbors. He keeps $$\$18$$ of the $$\$45$$ for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money $(y)$, in dollars, that Ben has in his trip fund at the end of $x$ weeks?

Accepted Answer

$y=70+27x$

Answer

$y = 45 + 52x$

Answer

$y = 27 + 70x$

Answer

$y = 52 + 45x$

Question 18

Zach is studying the school furnace's oil usage. He records the amount of oil remaining in the tank at 8 a.m. every day for a week. No additional oil is added to the tank during the week. The graph below shows his data.

As the outdoor temperature gets colder, more oil is used to keep the indoor temperature constant. Based on the graph, which 24-hour time interval indicates the coldest period for the week?

Accepted Answer

Tuesday to Wednesday

Answer

Saturday to Sunday

Answer

Sunday to Monday

Answer

Friday to Saturday

Question 19

Three functions of $x$ are represented below.

For the function with the GREATEST rate of change, what is its value when $x = 10$?

Accepted Answer

28

Answer

25

Answer

13

Answer

17

Question 20

The set of ordered pairs below represents a relation.

$\quad$ {$(0, 2), (1, 3), (1, 4), (2, 5), (3, 5)$}

Which statement about the relation is true?

Accepted Answer

The relation is not a function, but removing $(1, 4)$ and replacing it with $(4, 1)$ would make the new relation a function.

Answer

The relation is not a function, but removing $(3, 5)$ and replacing it with $(3, 6)$ would make the new relation a function.

Answer

The relation is a function.

Answer

The relation is not a function, but removing $(1, 3)$ and replacing it with $(2, 6)$ would make the  new relation a function.

Question 21

A carpenter is building cabinets. For each cabinet, she needs 8 sets of supplies. At store A, each set of supplies costs $$\$3.75$$. The total cost $(y)$, in dollars, of the supplies she needs to buy at store A to build x cabinets is represented by the equation shown below.

$y = 8(3.75x)$

At store B, the total cost $(y)$, in dollars, of the supplies she needs to buy to build $x$ cabinets is represented by the graph shown below.

The carpenter spends a total of $$\$180$$ on supplies. To which store did the carpenter go for supplies, and how many cabinets can she build?

Accepted Answer

The carpenter went to store A, and she can build 6 cabinets.

Answer

The carpenter went to store A, and she can build 15 cabinets.

Answer

The carpenter went to store B, and she can build 6 cabinets.

Answer

The carpenter went to store B, and she can build 5 cabinets.

Question 22

A linear function of x is graphed on a coordinate grid. The points $(6, 34)$ and $(18, 26)$ lie on  the graph of the function. What are the rate of change of the function and the value of the 
 function when $x = 24$?

Accepted Answer

rate of change: $\frac{-2}{3}$

value: $22$

Answer

rate of change: $\frac{-3}{2}$

value: $7$

Answer

rate of change: $\frac{-2}{3}$

value: $-41\frac{1}{3}$

Answer

rate of change: $\frac{-3}{2}$

value: $-100\frac{1}{2}$

Question 23

The graph shown below represents the rate at which water drains from a tank once the drain is opened.

Which statement correctly describes the graph?

Accepted Answer

The water is draining at a constant rate of $\frac{1}{2}$ gallon per minute, and the tank contained
exactly $14$ gallons when the drain was opened.

Answer

The water is draining at a constant rate of $5$ gallon per minute, and the tank contained
exactly $14$ gallons when the drain was opened.

Answer

The water is draining at a constant rate of $2$ gallon per minute, and the tank contained
exactly $14$ gallons when the drain was opened.

Answer

The water is draining at a constant rate of $2$ gallon per minute, and the tank contained
exactly $\frac{1}{2}$ gallons when the drain was opened.

Question 24

Which statement describing a function of $x$ is true?

Accepted Answer

The graph of $y = 3x + 9$ is linear and has a $y	ext{-intercept}$ of $9$.

Answer

The graph of $y = 3^2x + 9$ is nonlinear and passes through the point $(0, 9)$.

Answer

The graph of $y = 3x^2$ is linear and passes through the point $(0, 0)$.

Answer

The graph of $y = 3x$ is nonlinear and passes through the origin.

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