Antivirus software for a computer costs a flat fee to purchase and a yearly cost to maintain a subscription. The function 𝒇(𝒕) = 𝟑𝟒. 𝟗𝟗 + 𝟓. 𝟗𝟗𝒕 represents the total cost of the antivirus software after 𝒕 years. If 𝒕 ≥ 𝟎, which statement is true about the function when graphed on a coordinate plane?

The value of 𝑓 is positive, and the minimum of the function is located at (0, 34.99).

The value of 𝑓 is negative, and the minimum of the function is located at (0, 5.99).

The value of 𝑓 is negative, and the minimum of the function is located at (0, 34.99).

The value of 𝑓 is positive, and the minimum of the function is located at (0, 5.99).

The height, 𝒉, in feet, of a model rocket 𝒕 seconds after being launched is modeled by the equation $$𝒉(𝒕)=−𝟏𝟔𝒕^2+𝟗𝟔𝒕+𝟏𝟎$$ . The equation can be rewritten as $$𝒉(𝒕)=−𝟏𝟔(𝒕−𝟑)^2+𝟏𝟓𝟒$$ . Which statements are revealed by rewriting the equation in this form? Select ALL that apply.

The maximum height attained by the rocket is 154 feet.

The rocket reaches its maximum height at 3 seconds.

The height from which the rocket is launched is 154 feet.

The horizontal distance covered by the rocket is 3 feet.

The rocket lands on the ground after 3 seconds.

A student sells candy by the ounce for a fundraiser. The graph shows the ounces of candy remaining as a linear function of 𝒙, the time, in days. Which best describes the domain and range of the function for the situation?

Domain: 0 ≤ 𝑥 ≤ 8 Range: 0 ≤ 𝑦 ≤ 240

Domain: 0 ≤ 𝑥 ≤ 240 Range: 0 ≤ 𝑦 ≤ 8

Domain: all real numbers Range: 𝑦 ≤ 8

Domain: all real numbers Range: 𝑦 ≤ 240

The table shows the resale value, 𝒚, in dollars, of a washing machine 𝒙 years after the initial purchase of the washing machine. Which statement is true?

The equation 𝑦 = 585(0.70)𝑥 approximates the data, and the best estimate for the resale value of the washing machine after 5 years is approximately $98.

The equation 𝑦 = 585 − 0.70𝑥 approximates the data, and the best estimate for the resale value of the washing machine after 5 years is approximately $98.

The equation 𝑦 = 585 − 0.70𝑥 approximates the data, and the best estimate for the resale value of the washing machine after 5 years is approximately $198.

The equation 𝑦 = 585(0.70)𝑥 approximates the data, and the best estimate for the resale value of the washing machine after 5 years is approximately $198.

A new television series is released on a streaming service. The weekly number of new viewers of the television series, in millions, is represented by the function $$f\left(x\right)=84\left(\frac{1}{3}\right)^x$$ , where 𝒙 is the number of weeks since the release of the series. Which statement is true?

The value of 𝑓(2) is approximately 9.3, and it represents the millions of new viewers 2 weeks after the release of the television series.

The value of 𝑓(2) is 56, and it represents the millions of new viewers 2 weeks after the release of the television series.

The value of 𝑓(2) is 56, and it represents the number of weeks it will take for there to be 2 million new viewers.

The value of 𝑓(2) is approximately 9.3, and it represents the number of weeks it will take for there to be 2 million new viewers.

Which statement about the function $$f\left(x\right)\ =\ 3x^2-14x-5$$ is true?

The expression has factors (𝑥 − 5) and (3𝑥 + 1) and has zeros at 𝑥 = − 1 /3 and 𝑥 = 5.

A The expression has factors (𝑥 − 5) and (3𝑥 + 1) and has zeros at 𝑥 = −5 and 𝑥 = 1/3 .

The expression has factors (𝑥 + 5) and (3𝑥 − 1) and has zeros at 𝑥 = −5 and 𝑥 = 1 /3 .

The expression has factors (𝑥 + 5) and (3𝑥 − 1) and has zeros at 𝑥 = − 1 /3 and 𝑥 = 5.

An electrician charges $𝟑𝟒 per hour, 𝒉, to install electrical wiring, plus the price of the supplies used. The function 𝑷(𝒉) = 𝟑𝟒𝒉 + 𝟏𝟔𝟐 represents the total cost of the installation and the supplies used. What is the meaning of the 𝒚-intercept of the function in this context?

The point (0, 162) represents the price of the supplies with 0 hours of installation.

The point (34, 162) represents the price of the supplies with 34 hours of installation.

The point (162, 0) represents the price of the supplies with 0 hours of installation.

The point (162, 34) represents the price of the supplies with 34 hours of installation.

An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change. The function 𝑪(𝒕) = 𝟖𝟕𝒕 + 𝟑𝟐 represents the total cost, 𝑪, of getting an oil change and purchasing 𝒕 tires. Which statements are true? Select ALL that apply.

The value 32 is the 𝑦-intercept of the function, and it represents the fee for an oil change.

The value 87 is the slope of the function, and it represents the cost per tire purchased.

The value 32 is the 𝑦-intercept of the function, and it represents the cost per tire purchased.

The value 87 is the slope of the function, and it represents the fee for an oil change.

The value 87 is the 𝑦-intercept of the function, and it represents the cost per tire purchased.

EOC Review #2

Authored by Cynthia Murray

Mathematics

9th Grade

CCSS covered

Used 2+ times

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26 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement is true?

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement is true?

The product of a non-zero rational number and an irrational number is always irrational.

The product of a non-zero rational number and an irrational number is always rational.

The product of a non-zero rational number and an irrational number is never irrational.

The product of a non-zero rational number and an irrational number is sometimes rational.

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

𝑥 ≤ −2

𝑥 ≥ −2

𝑥 ≤ 2

𝑥 ≥ 2

Tags

CCSS.6.EE.B.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is (𝟑𝒙 − 𝟒)(𝟓𝒙 + 𝟔) when simplified?

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An auto mechanic charges $𝟒𝟓 for a house call plus $𝟑𝟎 per hour for any work done. For one client’s house call, the mechanic charges a total of 𝑻 dollars. Which equation represents this situation, where 𝒉 is the number of hours of work done?

𝑇 = 30ℎ + 45

𝑇 = 30(ℎ + 45)

𝑇 = 45ℎ + 30

𝑇 = 45(ℎ + 30)

Tags

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a hamster weighs 1.1 pounds and a medium-sized dog weighs 42.3 pounds, to the nearest pound, which is most likely the weight of a pet cat?

2 lb

8 lb

32 lb

48 lb

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A client comes in with a pet rabbit. Which is the most likely level of accuracy the scale will give for the weight of the pet rabbit, in lb?

tenths

hundredths

thousandths

ten thousandths

Tags

CCSS.8.EE.A.4

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EOC Review #2

Which statement is true?

Which statement is true?

What is (𝟑𝒙 − 𝟒)(𝟓𝒙 + 𝟔) when simplified?

An auto mechanic charges $𝟒𝟓 for a house call plus $𝟑𝟎 per hour for any work done. For one client’s house call, the mechanic charges a total of 𝑻 dollars. Which equation represents this situation, where 𝒉 is the number of hours of work done?

If a hamster weighs 1.1 pounds and a medium-sized dog weighs 42.3 pounds, to the nearest pound, which is most likely the weight of a pet cat?

A client comes in with a pet rabbit. Which is the most likely level of accuracy the scale will give for the weight of the pet rabbit, in lb?

Consider the functions. For 𝒙 > 𝟏𝟎, which function has the largest value when graphed on the coordinate plane?

Consider the relation given by the set of ordered pairs. {(−𝟔, 𝟐), (−𝟒, −𝟐), (𝟑, 𝟓), (−𝟒, 𝟑), (𝟐, 𝟓), (−𝟐, 𝟒)} Which ordered pair should be removed so that the relation represents a function?

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