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Laabri

Alg 1 Math Q1 - Weatherly 2025-09-24

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Last updated 11 months ago
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Which relation represents a function?

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2.

A student is solving the equation $-2(x - 5) = 12(x - 6) + 4$. Which describes a first step the student could use to solve the equation correctly?

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3.

A dentist charges a flat fee of $275 for a cleaning appointment plus $1 for every minute of the cleaning, where each portion of a minute is rounded to a full minute. A cleaning can last for no less than 1 minute and no more than 1 hour, and $f(x)$ represents the total cost of the cleaning appointment, where $x$ represents the number of minutes the cleaning lasts.

What is the most appropriate domain for the situation, when graphed on a coordinate plane?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

A student has $350 in a savings account when summer begins. The student saves $15 each week from a summer job.

If no additional deposits to or withdrawals from the account are made, which function, $f(x)$, represents the total amount, in dollars, in the student’s savings account $x$ weeks after summer begins, where $0 \leq x \leq 12$?

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5.

The function $f(x) = -3x + 15$ represents the remaining number of brooms the worker still needs to make at the end of $x$ days of work, where $0 \leq x \leq 5$. What is the initial number of brooms the worker still needs to make when $x = 0$?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

The function $g(x) = -4x + 20$ represents the remaining number of mops the worker still needs to make at the end of $x$ days of work, where $0 \leq x \leq 5$. What does $-4$ represent in the function $g(x)$?

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7.

Consider the equation. $5 \left( x - 8 \right) + 7 = 4 \left( x - 6 \right) - 9$ What is the solution to the equation?

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8.

The equation $6x + 2y = 76$ represents the total amount of money a family spends at a grocery store when buying $x$ packages of hot dogs and $y$ packages of hot dog buns. Which represents the equation when solved for $y$?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Which graph best represents the function $f(x) = -\frac{1}{4}x + 5$?

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10.

The equation $y = 0.5x + 1$ represents the height of a seedling, y, in inches, x days after sprouting. Which graph best represents the equation?

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11.

Consider the graph of the function $g(x)$, which represents the perimeter of an equilateral triangle, in units, in relation to its side length, $x$, in units.

Graph showing a line representing perimeter in units on the y-axis against side length in units on the x-axis.

Which statement is true?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

The linear model $y = 132h + 325$ can be used to represent the total cost, $y$, in dollars, to rent a bounce house from a company for $h$ hours. If $h \geq 0$, what is the meaning of the slope in the linear model?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

What are the solutions to the inequality $|5x - 15| - 7 \geq -2$?

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14.

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15.

Given $f(x) = -\frac{3}{4}(8 + 6x)$, what is the value of $f(12)$?

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16.

The graph of the function, $f(x)$, models the gallons of fuel, in thousands, remaining in a tanker truck $x$ minutes after it starts filling buses with fuel. Graph showing fuel consumption over time, with fuel measured in thousands of gallons on the y-axis and time in minutes on the x-axis. The line decreases from 9 thousand gallons at 0 minutes to 0 gallons at 120 minutes. What is the most reasonable domain for the graph of the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

A landowner gathers data about the water level, y, in feet, of a pond each year, x, since the land was initially purchased. The table shows the data the landowner gathers, which can be modeled by a linear function, where $0 \leq x \leq 10$.

Years (x)

0

2

4

6

8

10

Water Level (y)

12

10.6

11.3

9.7

9.8

8.9

If the water level of a second pond on the same land follows the same trend, what is the approximate water level, in feet, the landowner should anticipate 7 years after the land was initially purchased?

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

A group of students is organizing a fundraising event for their school. The students sell candy bars and bags of popcorn to raise money. The students can sell no more than a combined total of 400 candy bars and bags of popcorn.

  • The candy bars sell for $3 each, and the bags of popcorn sell for $5 each.

  • The students must make a combined total of at least $1,800 from the fundraiser.

If n represents the number of candy bars sold and p represents the number of bags of popcorn sold during the fundraiser, which system of inequalities represents the scenario?

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

A homeowner records and analyzes the data for the heating costs, y, in dollars, based on the number of months since June. The linear model $y = 35x + 100$ can be used to represent the data when $0 \leq x \leq 6$. Which two best describe the value 100?

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20.

Consider the equation. $-6(x - 5) = 6(3x - 7)$ What is the value of x in the equation?

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21.

A baseball coach orders new jerseys and hats for a team and spends a total of $936. If each jersey costs $52, and each hat costs $18, which equation represents the total cost of ordering x jerseys and y hats?

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

At the beginning of the summer, a beachwear shop owner stocks the store with 500 beach towels to sell to customers. The function

represents the number of beach towels remaining for sale after days since the beginning of the summer, where x<=25 .

Which statement about $f(12)$ is true?

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23.

Consider the linear function

Which two characteristics describe the graph of the function correctly?

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24.

Consider the table of values for the function

x

f(x)

-7

3

-5

2

-4

1

q

0

6

1

11

2

For which value of $q$ would $f(x)$ remain a function?

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

A popsicle stand is stocked at the beginning of each day with a 90-pound box of popsicles. The graph represents the weight of the box, in pounds, based on the number of hours since the popsicle stand opened, where $0 \leq x \leq 8$.

Graph showing a line decreasing from 90 pounds at 0 hours to 30 pounds at 8 hours.

Which units would be the most appropriate for the rate of change in the graph?

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Landscaping services from two companies, Yard Oasis and Sand n’ Stone, differ by total cost.

  • The total cost of landscaping services from Yard Oasis includes a one-time $168 fee for scheduling services in addition to an hourly rate of $44 per hour of service.

  • The total cost of landscaping services from Sand n’ Stone only includes an hourly rate of service that is 25% more than the hourly rate of Yard Oasis.

If a homeowner hires Yard Oasis and Sand n’ Stone to complete the same number of hours of landscaping services, x, and the homeowner’s combined cost for services from both companies is $1,554, which statement is true?

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

A landscaper compares four lawn treatment brands. The table shows the costs, in dollars, of the four different lawn treatment brands based on the amount of lawn treatment, in pounds.

Amount (in pounds)

Cost

Brand 1

2

$26.50

Brand 2

5

$70.00

Brand 3

3

$41.25

Brand 4

8

$104.00

If the landscaper wants to use the lawn treatment with the best value, which brand should the landscaper use?

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

An artist spends 15 hours creating a painting that is sold by a gallery owner for $700. The gallery owner wants to make a profit of at least $250 and plans to pay the artist x dollars per hour the artist spent creating the painting.

If the inequality $x \leq q$ represents the possible dollars per hour the gallery owner can pay the artist, what is the value of $q$?
$q =$

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29.

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30.

Your answer should be in y=mx+b form

The manager of a company collects data about the total number of projects, y, a small group of employees complete over the course of a year based on the number of months, x, since the beginning of the year. The table shows the data the manager collects, which can be modeled by a linear function, where 1<=x<=12 .

If the total number of projects the employees complete the following year follows the same trend, which statement is true?

A student solves the equation

. The table shows the student's work.

Which equivalent equation could complete the table correctly?