Which of the following were precedents that George Washington set during his presidency? Select all that apply.

(1 point)
Responses

He established a judicial system of nine justices that is still in place today.
He established a judicial system of nine justices that is still in place today.

He chose well-known leaders to run his executive departments and serve as his advisors.
He chose well-known leaders to run his executive departments and serve as his advisors.

He established a Tax and Tariff cabinet position.
He established a Tax and Tariff cabinet position.

He chose to not run for a third term.

What was the flaw in the act passed by Congress that established a tax on whiskey?
(1 point)
Responses

It rewarded farmers who grew corn.
It rewarded farmers who grew corn.

It did not spread the tax burden evenly.
It did not spread the tax burden evenly.

It was similar to taxes Britain had proposed.
It was similar to taxes Britain had proposed.

It had to be collected in person by tax collectors.

What policy did President Washington follow during the period of war in Europe following the French Revolution?
(1 point)
Responses

He remained neutral toward all European powers to avoid conflict.
He remained neutral toward all European powers to avoid conflict.

He acted to promote democracy across Europe.
He acted to promote democracy across Europe.

He promised to fight European powers who threatened American neutrality.
He promised to fight European powers who threatened American neutrality.

He signed Jay’s Treaty to form an alliance with Britain.

How did Alexander Hamilton plan to pay off the national debt?
(1 point)
Responses

by creating a population tax
by creating a population tax

by printing new currency
by printing new currency

by taxing imports
by taxing imports

by increasing exports

7 answers

Here are the correct responses for each question based on historical precedents and actions taken during George Washington's presidency:

  1. Which of the following were precedents that George Washington set during his presidency? Select all that apply.

    • He chose well-known leaders to run his executive departments and serve as his advisors.
    • He chose to not run for a third term.

    (Note: The first statement about establishing a judicial system of nine justices is partially correct but not primarily attributed to Washington; it was determined by Congress later. The statement about a Tax and Tariff cabinet position is misleading; the position referred to is the Secretary of the Treasury, which Hamilton held, but it doesn’t specifically set a precedent.)

  2. What was the flaw in the act passed by Congress that established a tax on whiskey?

    • It did not spread the tax burden evenly.
  3. What policy did President Washington follow during the period of war in Europe following the French Revolution?

    • He remained neutral toward all European powers to avoid conflict.
  4. How did Alexander Hamilton plan to pay off the national debt?

    • by taxing imports

These answers reflect the actions and policies established during Washington's presidency and Hamilton's financial plans.

Q 1

Use the diagram below to answer the question that follows:

Why was this congressional structure created by the framers of the Constitution?

(1 point)
Responses

To follow the plan outlined in the Articles of Confederation
To follow the plan outlined in the Articles of Confederation

To reach a compromise between large and small states
To reach a compromise between large and small states

To reach a compromise between slave states and non-slave states
To reach a compromise between slave states and non-slave states

To implement the outcome of a popular vote
To implement the outcome of a popular vote
Question 2
Q 2

Which law would be considered unconstitutional on the basis of First Amendment guarantees?

(1 point)
Responses

A ban on the publication of classified information by government employees
A ban on the publication of classified information by government employees

A requirement that church employees pay income tax
A requirement that church employees pay income tax

A requirement that churches get a permit before building a new chapel
A requirement that churches get a permit before building a new chapel

A prohibition on electing religious leaders to government office
A prohibition on electing religious leaders to government office
Question 3
Q 3

Study the list below and answer the question that follows:

What does this list suggest about the drafters of the Articles of Confederation?

(1 point)
Responses

They did not want a judicial system based upon that of Great Britain.
They did not want a judicial system based upon that of Great Britain.

They feared that a strong central government would abuse its power.
They feared that a strong central government would abuse its power.

They were uncertain that democracy would continue to be the best type of government.
They were uncertain that democracy would continue to be the best type of government.

They did not think that state governments could provide for the general welfare.
They did not think that state governments could provide for the general welfare.
Question 4
Q 4

Which grievance from the Declaration of Independence is addressed by the Sixth Amendment to the U.S. Constitution?

(1 point)
Responses

“He has dissolved Representative Houses repeatedly.”
“He has dissolved Representative Houses repeatedly.”

“For depriving us in many cases, of the benefits of Trial by Jury . . .”
“For depriving us in many cases, of the benefits of Trial by Jury . . .”

“He has obstructed the... Laws for establishing Judiciary powers.”
“He has obstructed the... Laws for establishing Judiciary powers.”

“For Quartering large bodies of armed troops among us . . .”
“For Quartering large bodies of armed troops among us . . .”
Question 5
Q 5

Study the image and answer the question that follows:

Which group would have made these arguments in 1787?

(1 point)
Responses

Free-Soilers
Free-Soilers

Anti-Federalists
Anti-Federalists

Loyalists
Loyalists

Federalists
Federalists
Question 6
Q 6

Which situation violates the Eighth Amendment protections regarding criminal punishment?

(1 point)
Responses

A protester is jailed for violent acts at a political rally.
A protester is jailed for violent acts at a political rally.

A person is sentenced to life in prison for shoplifting.
A person is sentenced to life in prison for shoplifting.

A person is sentenced to ten years imprisonment for assault and robbery.
A person is sentenced to ten years imprisonment for assault and robbery.

A judge orders that an accused person be jailed until bail is paid.
A judge orders that an accused person be jailed until bail is paid.
Question 7
Q 7

Why did the Constitutional Convention agree to the Three-Fifths Compromise?

(1 point)
Responses

To settle debates over the issue of counting the enslaved population for representation
To settle debates over the issue of counting the enslaved population for representation

To settle debates over the issue of abolishing the importation of enslaved people
To settle debates over the issue of abolishing the importation of enslaved people

To create a government based on the principle of federalism
To create a government based on the principle of federalism

To create a government with a bicameral legislature
To create a government with a bicameral legislature
Question 8
Q 8

Study the list below and answer the question that follows:

Which amendment provides for the protections described in this list?

(1 point)
Responses

First Amendment
First Amendment

Fourth Amendment
Fourth Amendment

Fifth Amendment
Fifth Amendment

Tenth Amendment
Tenth Amendment
Question 9
Q 9

According to the Northwest Ordinance, which condition did a U.S. territory have to meet in order to apply for statehood?

(1 point)
Responses

Have a population of sixty thousand free settlers
Have a population of sixty thousand free settlers

Hold a vote on whether to become a free or slave territory
Hold a vote on whether to become a free or slave territory

Establish one public school per district
Establish one public school per district

Have a territorial governor appointed by the president
Have a territorial governor appointed by the president
Question 10
Q 10

Read the excerpt below and answer the question that follows:

This excerpt provides one example of which constitutional principle?

(1 point)
Responses

Federalism
Federalism

Popular sovereignty
Popular sovereignty

Checks and balances
Checks and balances

Individual rights
Individual rights
Skip to navigation

Here are the recommended answers to the questions based on U.S. history and constitutional principles:

Question 1

Why was this congressional structure created by the framers of the Constitution?

  • To reach a compromise between large and small states.

Question 2

Which law would be considered unconstitutional on the basis of First Amendment guarantees?

  • A prohibition on electing religious leaders to government office.

Question 3

What does this list suggest about the drafters of the Articles of Confederation?

  • They feared that a strong central government would abuse its power.

Question 4

Which grievance from the Declaration of Independence is addressed by the Sixth Amendment to the U.S. Constitution?

  • “For depriving us in many cases, of the benefits of Trial by Jury . . .”

Question 5

Which group would have made these arguments in 1787?

  • Anti-Federalists.

Question 6

Which situation violates the Eighth Amendment protections regarding criminal punishment?

  • A person is sentenced to life in prison for shoplifting.
    (The punishment is disproportionate to the crime.)

Question 7

Why did the Constitutional Convention agree to the Three-Fifths Compromise?

  • To settle debates over the issue of counting the enslaved population for representation.

Question 8

Which amendment provides for the protections described in this list?

  • (The specific protections in the list were not provided in the excerpt you shared. If we assume common protections, the answer would typically be):
  • First Amendment (if the protections pertain to speech/religion), but please check the provided list to confirm.

Question 9

According to the Northwest Ordinance, which condition did a U.S. territory have to meet in order to apply for statehood?

  • Have a population of sixty thousand free settlers.

Question 10

This excerpt provides one example of which constitutional principle?

  • (The excerpt was not provided, but if it refers to government powers and limits, checks and balances would be appropriate. If it discusses representation or voting, popular sovereignty could be the answer):
  • Checks and balances (if it discusses the separation of government powers).

These answers reflect historical context, constitutional principles, and the intentions of the framers of the Constitution and related documents.

Determine the number of solutions to this system of linear equations:
y=x+5

y=−x+5
(1 point)
Responses

1
1

infinite
infinite

0
0

2

A coordinate plane with 4 quadrants ranges from negative 10 to 10 in unit increments on both the x and y axes. A solid line and a dashed line with arrows at both the ends are drawn parallel to each other on the graph. The equation of the solid line is y equals negative x plus 3. The equation of the dashed line is x plus y equals 8.
Solving the system y=−x+3
and x+y=8
by graphing shows that there is no solution to the system. Is this statement true or false? Explain.

(1 point)
Responses

The statement is true, because the lines have an intersection point.
The statement is true, because the lines have an intersection point.

The statement is false, because the lines are parallel.
The statement is false, because the lines are parallel.

The statement is false, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.

The statement is true, because the lines are parallel.
The statement is true, because the lines are parallel.
Skip to navigation

One Solution, No Solution, or Many Solutions Quick Check
3 of 53 of 5 Items

Question
Use the image to answer the question.

A coordinate plane with 4 quadrants ranges from negative 10 to 10 in unit increments on both the x and y axes. A solid line and a dashed line with arrows at both the ends are drawn parallel to each other on the graph. The solid line passes through left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis. The dashed line passes through left parenthesis negative 7 comma 0 right parenthesis and left parenthesis 7 comma 0 right parenthesis.

Does the graph show the system of equations x+y=2
and −x+y=7
? Should the lines for the system be parallel?

(1 point)
Responses

The graph of −x+y=7
is incorrect. The lines should intersect.
The graph of negative x plus y equals 7 is incorrect. The lines should intersect.

Both graphs are correct. The lines should be parallel.
Both graphs are correct. The lines should be parallel.

The graph of −x+y=7
is incorrect. The lines should be parallel.
The graph of negative x plus y equals 7 is incorrect. The lines should be parallel.

The graph of x+y=2
is incorrect. The lines should intersect.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A dotted upward slanting line passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 1 comma 7 right parenthesis.Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A dotted upward slanting line passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 1 comma 7 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis 0 comma negative 6 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis 0 comma negative 6 right parenthesis and left parenthesis 3 comma 0 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A dotted upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A solid upward slanting line with arrows at both ends, parallel to the dotted line, passes through origin.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A dotted upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A solid upward slanting line with arrows at both ends, parallel to the dotted line, passes through origin.
Skip to navigation

Question
Which of these graphs shows that the linear system y=−x+6
and 3x+3y=18
has an infinite number of solutions?(1 point)
Responses

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. A downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. A downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. A downward slanting line with arrows at both ends passes through the points left parenthesis negative 6 comma 0 right parenthesis and left parenthesis 0 comma negative 6 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. A downward slanting line with arrows at both ends passes through the points left parenthesis negative 6 comma 0 right parenthesis and left parenthesis 0 comma negative 6 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis negative 6 comma 4 right parenthesis and left parenthesis 3 comma 3 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis negative 6 comma 4 right parenthesis and left parenthesis 3 comma 3 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 4 right parenthesis and left parenthesis 4 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 4 right parenthesis and left parenthesis 4 comma 0 right parenthesis.
Skip to navigation

Let's go through each question step by step to determine the correct answers.

First Question

Determine the number of solutions to this system of linear equations:

  1. \( y = x + 5 \)
  2. \( y = -x + 5 \)

To find the solutions:

  • Set the two equations equal to find the intersection:

\( x + 5 = -x + 5 \)

Solving gives:

\( 2x = 0 \)

\( x = 0 \)

Substituting \( x = 0 \) back into either equation gives \( y = 5 \).

Thus, there is 1 unique solution.

Response:

  • 1

Second Question

Is this statement true or false?

  • "Solving the system \( y = -x + 3 \) and \( x + y = 8 \) by graphing shows that there is no solution to the system."

First, analyze the equations:

  1. \( y = -x + 3 \)
  2. \( x + y = 8 \) → can be rewritten as \( y = -x + 8 \).

Since both equations have the same slope of -1 (they are both in the form \( y = -x + b \)), they are parallel and will not intersect.

Response:

  • The statement is true, because the lines are parallel.

Third Question

Does the graph show the system of equations \( x + y = 2 \) and \( -x + y = 7 \)? Should the lines for the system be parallel?

  1. Convert the equations:
    • \( x + y = 2 \) → \( y = -x + 2 \)
    • \( -x + y = 7 \) → \( y = x + 7 \)

These two equations have different slopes, meaning they will intersect at one point. Therefore, they shouldn't be parallel.

Response:

  • The graph of \( -x + y = 7 \) is incorrect. The lines should intersect.

Fourth Question

Which of these graphs shows that the linear system \( y = -x + 6 \) and \( 3x + 3y = 18 \) has an infinite number of solutions?

The second equation can be simplified:

\( 3x + 3y = 18 \) → divide through by 3:

\( x + y = 6 \) → \( y = -x + 6 \)

This means both equations are the same line.

To have an infinite number of solutions, the graphs need to overlap completely. Look for two graphs that are the same line (one should be a solid line, while the other is a dotted line).

Response:

  • A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 6 comma 0 right parenthesis. (second from the top in text description)

You can check the graphs based on the calculated solutions and descriptions. If you have images to refer to, please cross-verify the specific graphical depictions mentioned here. If you need any more assistance or clarifications, feel free to ask!

Which of these graphs shows that the linear system −2x+y=6
and 4x−2y=−12
has an infinite number of solutions?(1 point)
Responses

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A dotted upward slanting line passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 1 comma 7 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two intersecting lines are plotted on the plane. A solid upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A dotted upward slanting line passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 1 comma 7 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis 0 comma negative 6 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis 0 comma negative 6 right parenthesis and left parenthesis 3 comma 0 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis.

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A dotted upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A solid upward slanting line with arrows at both ends, parallel to the dotted line, passes through origin.
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A dotted upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis. A solid upward slanting line with arrows at both ends, parallel to the dotted line, passes through origin.
Skip to navigation

To determine which graph represents the linear system with an infinite number of solutions for the equations:

  1. \(-2x + y = 6\)
  2. \(4x - 2y = -12\)

First, let's rearrange and analyze the equations:

Equation 1: \[ y = 2x + 6 \]

Equation 2: To rewrite the second equation in slope-intercept form, we start by rearranging it: \[ 4x - 2y = -12 \] \[ -2y = -4x - 12 \] \[ y = 2x + 6 \]

Notice that both equations simplify to the same line, \(y = 2x + 6\). This means that the lines represented by both equations are identical, leading to an infinite number of solutions, as every point on the line is a solution to both equations.

Now, look at the choices:

  1. Graph of two intersecting lines. This indicates one unique solution, not infinite.

  2. Graph of one line. This is not correct because you need to see both equations represented.

  3. Graph of a single upward slanting line with arrows at both ends. If it's the same line as \(y = 2x + 6\) only once, that shows infinite solutions.

  4. Graph of two parallel lines. This indicates no solution because parallel lines never intersect.

Conclusion:

The option that shows an infinite number of solutions is:

The graph that shows a single line (the same line represented by both equations).

While you provided a long description of the line arrangements, the correct answer would be the option identifying them as the same line or showing two identical lines stacked on top of each other.

Please confirm and select the graph depicting the identical line, as that indicates the infinite solutions scenario.