Which situation describes exponential decay?

The value of a piece of machinery decreases by 19% every year.

The value of a piece of machinery decreases by $5000 every year.

The value of a piece of machinery decreases by $100 after the first year, $200 after the second year, $300 after the third year, $400 after the fourth year, and so on.

The value of a piece of machinery decreases by $100 after the first year, $200 after the second year, $400 after the third year, $800 after the fourth year, and so on.

Line A and line B are perpendicular. Line A passes through the points (3, –2) and (6, 7), and line B passes through the point (3, –12). Which statement about the y-intercepts is true?

The y-intercept of line A is less than the y-intercept of line B.

The y-intercept of line A is greater than the y-intercept of line B.

The y-intercept of line A is equal to the y-intercept of line B.

There is not enough information to compare the y-intercepts.

What is the meaning of the x-intercept?

If the manager purchases 0 pounds of flour for the week, the bakery will have $20 left in the flour budget.

If the manager purchases 20 pounds of flour for the week, the bakery will have $0 left in the flour budget.

If the manager purchases 50 pounds of flour for the week, the bakery will have $0 left in the flour budget.

If the manager purchases 0 pounds of flour for the week, the bakery will have $50 left in the flour budget.

Which age group had more visitors to the dog park?

Both age groups had the same number of visitors

Cannot be determined from the data

Which statement is true based on the frequency table?

Eighty-one people age 18–30 visited the parks.

Twenty-four people age 18–30 visited the dog park.

A person who visited the dog park was about four times as likely to be older than 30 than age 18–30.

More people age 18–30 visited a park than people older than 30.

Which interpretation of the vertex of the graph is correct?

The maximum area of the fenced region is 3600 square feet and occurs when the width of the fenced region is 60 feet.

The maximum area of the fenced region is 60 square feet and occurs when the width of the fenced region is 3600 feet.

The area of the fenced region is 0 square feet when the width of the fenced region is either 0 feet or 120 feet.

The area of the fenced region is 120 square feet when the width of the region is 0 feet.

Magdalena and George both open savings accounts at the same time. The amount y that Magdalena has in her account x months after opening it is given by y = 2500 + 125x. The amount y in George’s account after x months is y = 3000 + 130x. Solve and interpret the solution to this system of equations.

After 100 months, Magdalena has $15,000 and George has $16,000.

After 100 months, both people have $10,000 in their accounts.

One hundred months before they open savings accounts, Magdalena and George have the same amount of money.

The solution to the system does not make sense in this context. The two accounts never have the same amount of money.

The population of frogs in a marsh can be approximated by f(x) = 0.004(2)^x, where x is the number of decades since the population was first surveyed and f(x) is the population in thousands. Which statement best describes the population?

The frog population is growing exponentially.

The frog population is declining exponentially.

The frog population is growing at a constant rate.

The frog population is declining at a constant rate.

For a science project, Marvin studied the effect of fertilizer on plant growth. After collecting data about the amount of fertilizer used and the growth of the plants, he analyzed the data and found that there was a strong positive correlation between the two variables. Which statements could describe Marvin’s data? Select all that apply.

The line of best fit has a positive slope.

As the amount of fertilizer increases, the growth of the plants increases.

The data follow a linear pattern when plotted on a scatter plot.

Two projectiles are launched at the same time. The functions f(x) and g(x) model the heights, in feet, of the two objects x seconds after they are launched. Which statements about Object A and Object B are true? Select all that apply.

Object A is in the air longer than Object B.

Both objects start from ground level.

Object A will hit the ground after Object B.

The initial height of Object A is greater than the initial height of Object B.

Both objects have the same maximum height.

EOC review 2

Authored by Maria Smith

Mathematics

9th Grade

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74 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Talia throws a ball upward while standing on a platform. The table shows the height of the ball h(t) after t seconds. What type of function models the height of the ball over time?

linear

quadratic

exponential

Not enough information is given to determine a function type.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many solutions does the equation |x - 4| + 8 = 0 have?

No Solution

One Solution

Two Solutions

Not enough information is given to determine the number of solutions.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many solutions does the equation 2|a + 1| = 0 have?

No Solution

One Solution

Two Solutions

Not enough information is given to determine the number of solutions.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many solutions does the equation 2 - |n - 5| = 0 have?

No Solution

One Solution

Two Solutions

Not enough information is given to determine the number of solutions.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many solutions does the equation -2|k + 5| + 6 = 0 have?

No Solution

One Solution

Two Solutions

Not enough information is given to determine the number of solutions.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Which expressions are integers when simplified? Select all that apply.

√9/3 · √18

√24 · √6

√8192/√4

√20 – 5√4

2√3 – √12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If x represents the number of people who preferred to keep daylight saving time, what is the equation that models the results of the survey?

x + (x + 100) + 1/3x = 740

x + (x – 100) + 1/3x = 740

x + (x + 100) + 3x = 740

x + (x – 100) + 3x = 740

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EOC review 2

Talia throws a ball upward while standing on a platform. The table shows the height of the ball h(t) after t seconds. What type of function models the height of the ball over time?

How many solutions does the equation |x - 4| + 8 = 0 have?

How many solutions does the equation 2|a + 1| = 0 have?

How many solutions does the equation 2 - |n - 5| = 0 have?

How many solutions does the equation -2|k + 5| + 6 = 0 have?

Which expressions are integers when simplified? Select all that apply.

If x represents the number of people who preferred to keep daylight saving time, what is the equation that models the results of the survey?

What is the average rate of change of the transportation budget from 2010 to 2023 according to the graph?

If Malik's savings account earns 2.1% annual interest compounded quarterly, how much money will be in the account after 10 years?

the weights of male deer in a particular state.

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