Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound, and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2,000. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories. Let a represent the number of pounds of apples and g represent the number of pounds of grapes. Which system of inequalities can be used to determine the number of pounds of apples and the number of pounds of grapes that Jose can buy for a month?

1.5a + 2g ≤ 30 200a + 300g > 2,000

1.5a + 2g ≥ 30 200a + 300g > 2,000

2a + 1.5g ≤ 30 300a + 200g > 2,000

2a + 1.5g ≥ 30 200a + 300g < 2,000

A system of linear inequalities is shown. Inequality 1: x ≤ 5 Inequality 2: 2 > -2x + 3 Which statement is true for the point (0, 3)?

The point (0, 3) is a solution for this system of linear inequalities.

The point (0, 3) is a solution for inequality 2 but not for inequality 1.

The point (0, 3) is the only solution for this system of linear inequalities.

The point (0, 3) is one of many solutions for this system of linear inequalities.

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?

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

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

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.

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.

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?

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

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

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

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

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)?

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

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

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).

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).

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.

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

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

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.

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

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

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?

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.

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.

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.

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.

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

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

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

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

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

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?

The data can be modeled by a quadratic function.

The data can be modeled by a linear function.

The data can be modeled by a constant function.

The data can be modeled by a exponential function.

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?

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.

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.

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.

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.

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?

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

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

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

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

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?

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.

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

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

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.

Algebra EOC Study Guide

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.LE.A.2, HSF.LE.B.5, HSF.BF.A.2

+16

Standards-aligned

Sabrina Morales

Used 14+ times

FREE Resource

57 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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?

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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

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

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

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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

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

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

the amount of precipitation as a function of the outdoor temperature

6.

DRAW QUESTION

3 mins • 1 pt

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

7.

DRAW QUESTION

3 mins • 1 pt

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?