Quiz about Algebra EOC Study Guide

Question 1

Which function can be used to model the data in this table?

Accepted Answer

Question 2

An arithmetic sequence is shown.

7, 11, 15, 19, . . .

What is the recursive formula that was used to create this sequence?

Accepted Answer

Question 3

The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22.

Which function can be used to find the nth term of the arithmetic sequence?

Accepted Answer

Question 4

Which situation could be modeled by a function with a domain of all positive integers?

Accepted Answer

the amount of fish required in a fish tank as a function of the number of fish in the tank

Answer

the distance a runner has moved during a race as a function of timer since the race started

Answer

the amount of power required to operate a computer as a function of the length of time the computer is on

Answer

the amount of water required by an animal as a function of the mass of the animal

Question 5

Which situation could be modeled by a function with a domain that includes positive and negatives real numbers?

Accepted Answer

the amount of precipitation as a function of the outdoor temperature

Answer

the height of a plant as a function of time since the seed was planted

Answer

the elevation of a hiker as a function of the number of steps taken

Answer

the amount of time required to read a book as a function of the number of words in the book

Question 6

Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each new chapter. She spends at least 10 hours per week studying French.

Which graph could represent the possible number of old chapters Vicky reviews, x, and the new chapters Vicky learns, y, each week?

Accepted Answer

Question 7

Gavin can spend no more than $300 on the catering for an event.

What is the greatest number of people that Gavin can have at his event without spending more than $300 on catering?

Accepted Answer

33

Answer

30

Answer

32

Answer

37

Question 8

(6,-5) (7, -3) (8, -1) (9, 1)

What is the domain of this function?

Accepted Answer

{6,7,8,9}

Answer

{-5,-3,-1, 1}

Answer

{6,-5,7,-3}

Answer

{8,-1,9, 1}

Question 9

Which value is an irrational number?

Accepted Answer

Question 10

The total area of two rectangles can be represented by the expression (x)(3x + 1) + (2x)(x + 3).

Which expression represents the total area of the two rectangles?

Accepted Answer

Question 11

Which expression is equivalent to the above expression?

Accepted Answer

Question 12

Which quadratic expression is equivalent to (x + 3)(x - 1)?

Accepted Answer

Question 13

The stage of an auditorium is in the shape of an isosceles trapezoid. One of the bases of the trapezoid is 6 feet longer than the height. The other base is 14 feet longer than the height. The total area of the stage is 200 square feet.

What is the length, in feet, of the longest base of the stage?

Accepted Answer

24 feet

Answer

10 feet

Answer

16 feet

Answer

34 feet

Question 14

The table defines a quadratic function.

What is the average rate of change between x = -1 and x = 1?

Accepted Answer

-3

Answer

undefined

Answer

-1/3

Answer

-4

Question 15

The vertex of the graph of the quadratic function f(x) is located at (-3, -1).

Where is the vertex of the graph of quadratic function f(x) + 2 located at?

Accepted Answer

(-3, 1)

Answer

(-5, -1)

Answer

(-3, -3)

Answer

(-1, -1)

Question 16

The function h(x) is the quadratic function that describes the height, h(x), in feet, of a football x seconds after the football has been kicked into the air.

Which statement describes h(2) = 67 in the context of this situation?

Accepted Answer

The quadratic function h(x) accurately describes that, after 2 seconds, the football is 67 feet high.

Answer

The quadratic function h(x) may accurately describe the situation, but the football is probably kicked more than 2 feet high.

Answer

It does not make sense to use the quadratic function h(x) to describe what is happening after 67 seconds. The football can stay in the air only for so long, and the domain is definitely less than 67 seconds.

Answer

It may or may not make sense to use the quadratic function h(x) for what is happening on the 67th kick. A player would not kick the ball 67 times in a football game, but the player might kick the ball 67 times in a season.

Question 17

Consider the function for cell duplication. The cells duplicate every minute.

What do the values 75 and 2 represent in relation to the duplication of these cells?

Accepted Answer

The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

Answer

The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

Answer

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.

Answer

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

Question 18

A function is given in the table shown.

Which equation represents the function in the table?

Accepted Answer

Question 19

The graph of the exponential function shown passes through (-1, -1.5) and (1, 6).

Which function represents the graph?

Accepted Answer

Question 20

The linear function f(x) is represented in the table, and

the exponential function g(x) is represented by the equation.

Which statement correctly compares the intercepts of f(x) and g(x)?

Accepted Answer

The x- and y-intercepts of f(x) are both smaller than the corresponding x- and y-intercepts of g(x).

Answer

The x- and y-intercepts of f(x) are both greater than the corresponding x- and y-intercepts of g(x).

Answer

The x-intercept of f(x) is greater than the x-intercept of g(x), but the y-intercept of f(x) is smaller than the y-intercept of g(x).

Answer

The x-intercept of f(x) is smaller than the x-intercept of g(x), but the y-intercept of f(x) is greater than the y-intercept of g(x).

Question 21

Two accounts are opened on the same day. The value (v), in dollars, of Account A can be represented by the equation v = 2,000(1.08)^t, where t represents the number of years since the account was opened. The value, in dollars, of Account B increase at a constant rate and can be represented by the table.

Select THREE comparisons ab out Account A and Account B that are true.

Accepted Answer

The difference between the value of Account A and Account B after 1 year is less than $100.

Accepted Answer

The graph representing the value of Account A has the same y-intercept as the graph representing the value of B.

Accepted Answer

The graph representing the value of Account B is greater than the value of Account A for values 0 < t < 7, but eventually Account A will overtake Account B.

Answer

The value of Account B is always greater than the value of Account A.

Answer

The graph representing the value of Account A has the same x-intercept as the graph representing the value of B.

Question 22

Marcus buys $1,000 worth of stock in a company. He expects the value of the stock to increase by 5% each year.

Which equation could Marcus use to predict the stock's value x years after he purchases the stock?

Accepted Answer

Question 23

The first five terms in a pattern are shown.

9, 27, 81, 243, 729

The equation can be used to calculate the value, S, of any term, n, in the pattern.

What are the values of a and b in the equation?

Accepted Answer

a = 3, b = 3

Answer

a = 1, b = 3

Answer

a = 3, b = 9

Answer

a = 9, b = 9

Question 24

A scientist studied the relationship between the number of trees, x, per acre and the number of bird, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y = 4 + 6x for the regression line.

What is the meaning of the slope and y-intercept of this regression line?

Accepted Answer

The slope is 6. This means for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. This means that the average number of birds per acre in an area with no trees is 4.

Answer

The slope is 6. This means that the average number of birds per acre in an area with no trees is 6. The y-intercept is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre.

Answer

The slope is 4. This means for every 1 additional tree, she can expect an average of 4 additional birds per acre. The y-intercept is 6. This means that the average number of birds per acre in an area with no trees is 6.

Answer

The slope is 4. This means that the average number of birds per acre in an area with no trees is 4. The y-intercept is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre.

Question 25

Which set of data points could BEST be modeled by a line of best fit that is a decreasing linear function?

Accepted Answer

{(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}

Answer

{(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}

Answer

{(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}

Answer

{(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}

Question 26

Which set of data could be BEST modeled by a quadratic function?

Accepted Answer

Question 27

The number of customers, x, that visited a store certain numbers of hours, y, after the store opened at 8 A.M. are shown below.

(1, 2), (3, 15), (4, 18), (6, 13), (9, 0)

Which statement BEST describes the data?

Accepted Answer

The data can be modeled by a quadratic function.

Answer

The data can be modeled by a linear function.

Answer

The data can be modeled by a constant function.

Answer

The data can be modeled by a exponential function.

Question 28

An equation of line a is y = -1/2x - 2

Which is an equation of the line that is perpendicular to line a and passes through the point (-4, 0)?

Accepted Answer

Question 29

Look at the square WXYZ on this coordinate plane.

Which measure is closest to the perimeter of square WXYZ?

Accepted Answer

25.6 units

Answer

20 units

Answer

32 units

Answer

40.9 units

Question 30

A company that produces strawberry, grape, and raspberry jam tracked the costs to make each type of jam each year. The cost to make a container of each type of jam increased, including supply costs. The costs, in dollars, to make a container of strawberry jam and grape jam are represented by the functions shown, where x represents the number of years since the company opened.

Strawberry Jam: s(x) = 3.10 + 0.05x

Grape Jam: 0.01(x - 1)² + 2.95

The graph of the exponential function r(x) shown on the coordinate grid represents the cost, in dollars, to make a container of raspberry jam.

Which statement is true about the cost to make a container of the strawberry jam?

Accepted Answer

The cost to make a container of the strawberry jam was $3.10 in the year the company opened, and the cost increased $0.05 each year.

Answer

The cost to make a container of the strawberry jam was $0.05 in the year the company opened, and the cost increased $3.10 each year.

Answer

The cost to make a container of the strawberry jam was $3.10 in the year the company opened, and the cost increased 5 percent each year.

Answer

The cost to make a container of the strawberry jam was $0.05 in the year the company opened, and the cost increased 3.1 percent each year.

Question 31

A company that produces strawberry, grape, and raspberry jam tracked the costs to make each type of jam each year. The cost to make a container of each type of jam increased, including supply costs. The costs, in dollars, to make a container of strawberry jam and grape jam are represented by the functions shown, where x represents the number of years since the company opened.

Strawberry Jam: s(x) = 3.10 + 0.05x

Grape Jam: 0.01(x - 1)² + 2.95

The graph of the exponential function r(x) shown on the coordinate grid represents the cost, in dollars, to make a container of raspberry jam.

What does g(4) = 3.04 represent in this context?

Accepted Answer

The cost to make a container of the grape jam in year 4 after the company opened was $3.04.

Answer

The cost to make a container of the grape jam in year 3 after the company opened was $3.04.

Answer

The cost to make a container of the grape jam in year 3 after the company opened was $4.00.

Answer

The cost to make a container of the grape jam in year 4 after the company opened was $4.00.

Question 32

A company that produces strawberry, grape, and raspberry jam tracked the costs to make each type of jam each year. The cost to make a container of each type of jam increased, including supply costs. The costs, in dollars, to make a container of strawberry jam and grape jam are represented by the functions shown, where x represents the number of years since the company opened.

Strawberry Jam: s(x) = 3.10 + 0.05x

Grape Jam: 0.01(x - 1)² + 2.95

The graph of the exponential function r(x) shown on the coordinate grid represents the cost, in dollars, to make a container of raspberry jam.

Which function represents the cost, in dollars, to make a container of the raspberry jam?

Accepted Answer

Question 33

An electric car accelerates from a stop to a safe speed for driving on a highway. The table below can be represented by quadratic function f(t), where f(t) is the distance the car has traveled, in feet, based on the time, t, in seconds, since the car started accelerating.

The function f(t) is the quadratic function that describes the distance, in feet, since the car began accelerating.

Which statement describes f(100) in the context of this situation?

Accepted Answer

It doesn't make sense to use the quadratic function f(t) to describe what is happening after 100 seconds. After 100 seconds, the car would be traveling 2,400 feet per second, or about 1,636 miles per hour.

Answer

The quadratic function f(t) will accurately describe the amount of time for the car to travel 100 feet.

Answer

The quadratic function cannot be used for 100 feet because 100 feet is not in the range of the function.

Answer

It may or may not make sense to use the quadratic function f(t) for what is happening at 100 miles per hour. A car cannot travel safely on a street or highway at 100 miles per hour, but it may be on a racetrack.

Question 34

A car decelerates when the brake pedal is pushed. The table below can be represented by quadratic function g(s), where g(s) is the safe stopping distance, in feet, based on the speed, s, in miles per hour, the car is traveling.

The function g(s) is a quadratic function that describes the safe stopping distance, g(s), in feet, based on the speed, s, in miles per hour.

What is the value of g(55)?

Accepted Answer

302.5

Answer

305

Answer

312.5

Answer

320

Algebra EOC Study Guide

57 questions

Which function can be used to model the data in this table?

An arithmetic sequence is shown.
7, 11, 15, 19, . . .
What is the recursive formula that was used to create this sequence?

The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22.
Which function can be used to find the nth term of the arithmetic sequence?

Which situation could be modeled by a function with a domain of all positive integers?

Which situation could be modeled by a function with a domain that includes positive and negatives real numbers?

Label the x-intercept(s) on the graphed function

Label the y-intercept(s) on the graphed function

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Algebra EOC Study Guide

57 questions

Which function can be used to model the data in this table?

An arithmetic sequence is shown.7, 11, 15, 19, . . . What is the recursive formula that was used to create this sequence?

The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22.Which function can be used to find the nth term of the arithmetic sequence?

Which situation could be modeled by a function with a domain of all positive integers?

Which situation could be modeled by a function with a domain that includes positive and negatives real numbers?

Label the x-intercept(s) on the graphed function

Label the y-intercept(s) on the graphed function

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

An arithmetic sequence is shown.
7, 11, 15, 19, . . .
What is the recursive formula that was used to create this sequence?

The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22.
Which function can be used to find the nth term of the arithmetic sequence?