A scientist fit a line to a set of data relating the amount of a pool chemical added to water x , in fluid ounces, and the percent of change in the level of phosphates in the water, y . The graph shows the residuals for the line of fit. Which best describes the correlation between the amount of the chemical added and the change in the level of phosphates?

There is a moderate correlation

A scientist fit a line to a set of data relating the amount of a pool chemical added to water x , in fluid ounces, and the percent of change in the level of phosphates in the water, y . The graph shows the residuals for the line of fit. Which best describes the causation in this situation?

The amount of chemical used causes a change in the phosphate levels

The amount of chemical used causes a change in the residuals

The phosphate levels cause a change in the amount of chemical used

Consider $$f(x)=x^2-1$$ and g(x), which is a linear function that passes through the points (0, 5) and (-1, 5). Which statement accurately compares the intervals over which each function is positive or negative?

B) f(x) is negative for x-values between -1 and 1, and g(x) is never negative.

A) f(x) and g(x) are both positive for all x-values.

C) f(x) is positive for all x-values, and g(x) is only positive for x > 0.

D) f(x) is positive for x-values less than -1 or greater than 1, and g(x) is always negative.

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.

The line of best fit has a negative slope.

The line of best fit has a slope of 0.

A floral shop sells roses for $3 each. The total cost for x roses can be modeled by f(x) = 3x. For Valentine’s Day, the shop is running a promotion during which they will deliver roses to any address in the city for a $12 delivery fee. The total price of delivering x roses can be modeled by g(x) = 3x + 12. Which statement describes the graph of g(x) as it relates to f(x)?

g(x) is the translation of f(x) up 12 units

g(x) is the translation of f(x) left 12 units

g(x) is the translation of f(x) right 12 units

g(x) is the translation of f(x) down 12 units

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

Talia throws a ball upward while standing on a platform. What type of function models the height of the ball over time?

Not enough information is given to determine a function type.

A recent market survey indicated that 37% of the citizens in town would support a new coffee shop. The survey has a margin of error of 1.7%, and the population of the town is 36,170. Based on the survey, which statement about the number of people who would support for a new coffee shop is true?

The number of people who would support a new coffee shop is between 12,768 and 13,998.

At least 13,383 people would support a new coffee shop.

At most 19,532 people would support a new coffee shop.

The number of people who would support a new coffee shop is between 6872 and 19,532.

The function ( y = 144 - 3x ) represents the length in inches of a rope after x knots have been tied in it. Which statement accurately interprets the y-intercept of this function?

A) The y-intercept is 144, which means that the rope is 144 inches long before any knots are tied in it.

B) The y-intercept is 144, which means that 144 knots can be tied in the rope.

C) The y-intercept is 48, which means that the rope is 48 inches long before any knots are tied in it.

D) The y-intercept is 48, which means that 48 knots can be tied in the rope.

During an experiment, Alysia takes the temperature of a solution every minute after it is taken off the heat source. She records the data in the table shown. Which statements are true? Select all that apply.

E) The second differences are equal.

A) The function representing the data is linear.

C) The function representing the data is exponential.

B) The function representing the data is quadratic.

D) The first differences are equal.

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?

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

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

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

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

Which interpretation of the vertex of the graph is correct?

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

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

Practice EOC Review

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.CED.A.2, HSF-IF.C.7A, HSF-IF.C.7D

+2

Standards-aligned

Jigna Shah

FREE Resource

76 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The volume of a sphere is given by V = (4/3)πr^3, where A is the surface area. What is the volume of a sphere with surface area 2π?

Answer explanation

The correct formula for the volume of a sphere is V = (4/3)πr^3. Given the surface area A = 2π, solve for r using A = 4πr^2, then substitute r into V = (4/3)πr^3 to find the volume.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

Answer explanation

The frog population is growing exponentially because the population function is in the form of exponential growth, f(x)=0.0004(2)^x.

3.

DRAW QUESTION

3 mins • 1 pt

Graph y = |2x - 4|.

Which equation represents 2a - 3b = 6, solved for a?

Answer explanation

The correct equation is a=(6+3b)/2, which represents 2a - 3b = 6 solved for a.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

linear

exponential

quadratic

square root

Answer explanation

The function f(x)=x^2-x+1 is a quadratic function because it contains a squared term (x^2) and a linear term (-x).

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which polynomial expressions are prime? Select all that apply.

Answer explanation

The prime polynomial expressions are those that cannot be factored further. The correct choices are x^2-81, x^2+121, and x^2-2x+15 as they cannot be factored into simpler polynomials.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which quadratic function is shown in the graph?

Answer explanation

The correct quadratic function is y=3x^2-2x+8 because it matches the graph shown.

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Practice EOC Review

76 questions

The volume of a sphere is given by V = (4/3)πr^3, where A is the surface area. What is the volume of a sphere with surface area 2π?

The correct formula for the volume of a sphere is V = (4/3)πr^3. Given the surface area A = 2π, solve for r using A = 4πr^2, then substitute r into V = (4/3)πr^3 to find the volume.

The frog population is growing exponentially because the population function is in the form of exponential growth, f(x)=0.0004(2)^x.

Graph y = |2x - 4|.

Which equation represents 2a - 3b = 6, solved for a?

The correct equation is a=(6+3b)/2, which represents 2a - 3b = 6 solved for a.

The function f(x)=x^2-x+1 is a quadratic function because it contains a squared term (x^2) and a linear term (-x).

Which polynomial expressions are prime? Select all that apply.

The prime polynomial expressions are those that cannot be factored further. The correct choices are x^2-81, x^2+121, and x^2-2x+15 as they cannot be factored into simpler polynomials.

Which quadratic function is shown in the graph?

The correct quadratic function is y=3x^2-2x+8 because it matches the graph shown.

Jamal opened a savings account with $1500 that earns 1.2% simple interest monthly. What kind of function can be used to model the balance of the account x months after Jamal opened it?

The balance of the account increases by a fixed amount each month, making it a linear function.

Which inequality represents the graph?

The correct inequality is y > 3x - 2 because the graph represents the area above the line, not including the line itself.

Which function has the greatest slope?

The function with the greatest slope is f(x) = 3x because it has a slope of 3, which is greater than the slopes of the other functions.

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