During a summer sale, the price of a beach umbrella decreases exponentially according to the function y = 25,000(0.33) x . Which statement about the price graph is true?

The coordinates of the y-intercept are (0, 25,000)

The equation of the asymptote is x = 0

The coordinates of the x-intercept are (0.33, 0)

The graph represents exponential growth

The school soccer teams went to the local ice cream shop to get ice creams after practice. Each large ice cream costs the same amount, and each small ice cream costs the same amount. - The girls soccer team paid $65 total for 10 large ice creams and 5 small ice creams - The boys soccer team paid $77 total for 14 large ice creams and 3 small ice creams Which system of equations would be used to find x the cost of a small ice cream and y the cost of a large ice cream?

10x – 5y = 65 14x – 3y = 77

During a summer picnic, Sandy took ibuprofen for pain relief after a long hike. The function $$f\left(x\right)=600\left(0.72\right)^x$$ gives the number of milligrams of ibuprofen in her system at the end of x hours. Which statement is the best interpretation of one of the values in this function?

The initial amount of ibuprofen in her system is 600 milligrams.

The initial amount of ibuprofen in her system is 0.72 milligrams.

The amount of ibuprofen in her system increases at a rate of 0.72 milligrams per hour.

The amount of ibuprofen in her system decreases at a rate of 0.72 milligrams per hour.

Which statement about the graph of y = 25,000(0.33) x is true?

The graph represents exponential decay.

The equation of the asymptote is x = 0.

The graph represents an exponential growth of 33%.

The coordinates of the x-intercept are (0.33, 0).

2025💐Spring Final Exam

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67 Qs

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2025💐Spring Final Exam

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.C.8C, HSA.REI.D.12, 8.F.A.1

+13

Standards-aligned

Kimberley Corp

Used 17+ times

FREE Resource

67 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

During a summer beach party, you found a seashell with a length of √80 cm. Which expression correctly simplifies the length of the seashell?

2√20

4√5

20√5

5√4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

During a summer festival, the path of a firework is modeled by the equation f(x) = x². The path was adjusted to avoid a tree, resulting in the new equation f(x) = (x - 2.5)² + 1. Which of these describes this adjustment?

A horizontal shift 2.5 units right and a vertical shift 1 unit up

A horizontal shift 2.5 units left and a vertical shift 1 unit up

A vertical shift 2.5 units down and a horizontal shift 1 unit right

A vertical shift 2.5 units up and a horizontal shift 1 unit right

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

During a summer fair, a parabolic water slide is set up. The height of the slide at different points is represented by a quadratic function. Which function best represents the height of the slide?

f(x) = 2x² + 10x - 2

f(x) = x² - 5x + 2

f(x) = x² + 5x - 2

f(x) = -x² + 10x - 8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which graph best represents the solution set of the inequality where the temperature difference between two summer days, x - 2y ≤ - 4?

During a summer sale, the price of a beach ball is given by the equation 3x + (2 – x) = 5x – (2x + 5) + 11. What is the value of x that makes this equation true?

– 4

– 1/4

1/4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If the temperature in degrees Celsius on a summer day is given by the function T(x) = 3x² - 4x + 2, what is the temperature when T(–3)?

During a summer festival, a game booth offers a prize for solving a puzzle. The puzzle is to find the negative solution to the equation 0 = 2x² – 18. Can you solve it?

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2025💐Spring Final Exam

67 questions

During a summer beach party, you found a seashell with a length of √80 cm. Which expression correctly simplifies the length of the seashell?

During a summer festival, the path of a firework is modeled by the equation f(x) = x². The path was adjusted to avoid a tree, resulting in the new equation f(x) = (x - 2.5)² + 1. Which of these describes this adjustment?

During a summer fair, a parabolic water slide is set up. The height of the slide at different points is represented by a quadratic function. Which function best represents the height of the slide?

Which graph best represents the solution set of the inequality where the temperature difference between two summer days, x - 2y ≤ - 4?

During a summer sale, the price of a beach ball is given by the equation 3x + (2 – x) = 5x – (2x + 5) + 11. What is the value of x that makes this equation true?

If the temperature in degrees Celsius on a summer day is given by the function T(x) = 3x² - 4x + 2, what is the temperature when T(–3)?

During a summer festival, a game booth offers a prize for solving a puzzle. The puzzle is to find the negative solution to the equation 0 = 2x² – 18. Can you solve it?

Which system of equations best represents the paths of two ice cream trucks on a summer day?

During a summer fair, a vendor is selling lemonade. The vendor's profit can be modeled by the expression 12x² + 8x – 15. Which expression is a factor of this profit model?

Which representation does not show the number of ice creams sold as a function of temperature?

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