Add & Subtract Rational Numbers Unit Test

1 of 161 of 16 Items
Question
Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)
point

Which context describes a difference of rational numbers?(1 point)

Responses

A football player loses yards on a play.
A football player loses yards on a play.

The team’s score did not change during the game.
The team’s score did not change during the game.

The team’s score increased when scoring.
The team’s score increased when scoring.

A football player gains yards on a play.

so does anyone have awnsers

The rational number that can be used to represent the number of points needed for Abraham to get an A- is 1/2.

Place the following numbers in order as they would appear on a number line, left to right: −2.0, 0.25, −1.02, 1.98.(1 point)

Responses

1.98, 0.25, −1.02, −2.0
1.98, 0.25, negative 1.02 , negative 2.0

0.25, −1.02, 1.98, −2.0
0.25, negative 1.02 , 1.98, negative 2.0

−1.02, −2.0, 0.25, 1.98
negative 1.02 , negative 2.0 , 0.25, 1.98

−2.0, −1.02, 0.25, 1.98

−2.0, −1.02, 0.25, 1.98

Find the sum of p and q if p=34 and q=−114. Reduce your answer to lowest terms.(1 point)

The sum of p and q is:

p + q = 34 + (-114) = -80

The answer, -80, cannot be further reduced as it is already in its lowest terms.

Add (−12) and (−15).(1 point)

Responses

27
27

−3
negative 3

3
3

−27

(-12) + (-15) = -27

Add 10.82+(−15.96).(1 point)

$$

10.82 + (-15.96) = -5.14

Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)

Responses

Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?

Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?

Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?

Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?

Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?

Solve the following problem:

It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
°C

The temperature now is -5.6°C.

Use the additive inverse to find −492.89−(−871.78).(1 point)

$$

To find the difference between -492.89 and -871.78 using the additive inverse, we can change the operation to addition by changing the sign of the second number. This gives us:

-492.89 + 871.78 = 378.89

Therefore, the result is 378.89.

Determine the distance between −18.26 and −2.45 on a number line.(1 point)

Responses

−20.71
negative 20.71

−15.81
negative 15.81

20.71
20.71

15.81

To determine the distance between -18.26 and -2.45 on a number line, we subtract the smaller value from the larger value:

|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 15.81

Therefore, the distance between -18.26 and -2.45 on a number line is 15.81.

Solve the mathematical problem involving absolute value.

2−|13⋅−9|−5(1 point)

To solve the mathematical problem involving absolute value, we start by evaluating the expression inside the absolute value brackets:

|13⋅−9| = |-117| = 117

Then we substitute this value back into the original expression:

2−117−5 = -120

Therefore, 2−|13⋅−9|−5 = -120.

Subtract 24−(−15).(1 point)

To subtract 24 - (-15), we can change the operation to addition by changing the sign of the second number:

24 + 15 = 39

Therefore, 24 - (-15) is equal to 39.

What is 1749 + 59 − 8 − 10?(1 point)

Responses

−1
negative 1

0
0

20
20

−7

To calculate 1749 + 59 - 8 - 10, we add the numbers from left to right:

1749 + 59 = 1808
1808 - 8 = 1800
1800 - 10 = 1790

Therefore, 1749 + 59 - 8 - 10 is equal to 1790.

YOU SURE

Yes, I am sure. The correct answer to the problem 1749 + 59 - 8 - 10 is 1790.

its not right

Apologies for the confusion. Let's reevaluate the expression accurately:

1749 + 59 - 8 - 10

Adding the numbers from left to right:
1749 + 59 = 1808
1808 - 8 = 1800
1800 - 10 = 1790

Therefore, the correct answer is indeed 1790.

A football player loses yards on a play.

Joey walked east for 1523 meters from home. Then, he walked west for 2134 meters. How far was Joey from home?(1 point)

Joey was
meters from home.

To find out how far Joey was from home, we subtract the distance walked west from the distance walked east:

Distance from home = 1523 meters - 2134 meters

Distance from home = -611 meters

Therefore, Joey was 611 meters from home.

Add & Subtract Rational Numbers Unit Test

15 of 1615 of 16 Items

Question
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses

A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?

A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?

A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?

A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?

A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?

Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.(4 points)

To find the change in temperature during the three hours from 9 am to noon, we need to subtract the initial temperature from the final temperature. Let's denote the initial temperature as T1 and the final temperature as T2.

Given:
T1 = -5.8 degrees Celsius
T2 = -1.6 degrees Celsius

Change in temperature = T2 - T1

Plugging in the values:
Change in temperature = (-1.6) - (-5.8)
Change in temperature = -1.6 + 5.8
Change in temperature = 4.2 degrees Celsius

Therefore, the change in temperature during these three hours is 4.2 degrees Celsius.

This means that the temperature increased by 4.2 degrees Celsius from 9 am to noon.

Thanks

You're welcome! If you have any more questions, feel free to ask.

Which context describes a difference of rational numbers? A football player gains yards on a play. The team’s score did not change during the game. A football player loses yards on a pLay. The teams score increased while scoring.

The context that describes a difference of rational numbers is: A football player loses yards on a play.

Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home?

To find out how far Joey was from home, we need to subtract the distance walked west from the distance walked east.

Distance from home = (15 2/3) meters - (21 3/4) meters

To simplify this calculation, we need to convert the mixed numbers into improper fractions:

15 2/3 = (3 * 15 + 2)/3 = 47/3

21 3/4 = (4 * 21 + 3)/4 = 87/4

Now we can subtract:

Distance from home = (47/3) meters - (87/4) meters

To subtract fractions, we multiply the denominators and then multiply each numerator by the other denominator:

Distance from home = (47/3) * (4/4) - (87/4) * (3/3)
Distance from home = (188/12) - (261/12)
Distance from home = (-73/12) meters

Therefore, Joey was (-73/12) meters from home.

you helped me out to thank you so very much

You're welcome! I'm glad I could help. If you have any more questions, feel free to ask. Have a great day!

ok great you to

Thank you! Have a wonderful day as well!

you have a wonder full day more

Thank you for the kind wishes! I hope you have an even more wonderful day ahead!

no you have a more wonder full day

Thank you for the kind words! I appreciate it. I hope you have a fantastic day as well!

you have a fantastic great fun happy worerfull day

Thank you so much! I truly appreciate your kind words. Wishing you a day filled with happiness, joy, and success!

you to

Thank you! Have a great day!

What did the British Parliament believe was the purpose of the English Bill of Rights?(1 point)

Responses

Parliament was listing the rights that people already had.
Parliament was listing the rights that people already had.

The document would explain what the Magna Carta was for.
The document would explain what the Magna Carta was for.

The document would give British nobles rights to overthrow their king.
The document would give British nobles rights to overthrow their king.

Parliament was asking the people to vote on which rights to grant.

The British Parliament believed that the purpose of the English Bill of Rights was to list the rights that people already had.

Which of the following statements best summarizes how Baron de Montesquieu felt about power?(1 point)

Responses

Governments get their power from God, so kings have a divine right to rule.
Governments get their power from God, so kings have a divine right to rule.

Power should remain in the hands of the upper classes since they are educated.
Power should remain in the hands of the upper classes since they are educated.

Power exists in order to do the most good for the greatest number of people.
Power exists in order to do the most good for the greatest number of people.

People with power tend to abuse it, so power should be kept in check.

The statement that best summarizes how Baron de Montesquieu felt about power is that people with power tend to abuse it, so power should be kept in check.

What is the belief that a higher law, superior to any human-made law, exists?(1 point)

Responses

common law
common law

statutory law
statutory law

constitutional law
constitutional law

natural law

The belief that a higher law, superior to any human-made law, exists is known as natural law.

According to John Locke’s social contract theory, which government would be an “illegal” government?(1 point)

Responses

a government that has appointed and elected leaders
a government that has appointed and elected leaders

a government that can make war against its enemies and tax its citizens
a government that can make war against its enemies and tax its citizens

a government that does not have the consent of the people it governs
a government that does not have the consent of the people it governs

a government that does not have a king as its absolute authority]

According to John Locke's social contract theory, a government that does not have the consent of the people it governs would be considered an "illegal" government.

Which statement best describes the importance of the Magna Carta to American ideas of government?(1 point)

Responses

British judges should hold judicial power.
British judges should hold judicial power.

Federalism is the best form of government.
Federalism is the best form of government.

Parliament should have the power to determine tax rates.
Parliament should have the power to determine tax rates.

Even the king must respect certain rights of the people.

The statement that best describes the importance of the Magna Carta to American ideas of government is that even the king must respect certain rights of the people.

Which colonial document was the first in which the signers gave their consent to be governed according to the decisions made by their leaders?(1 point)

Responses

Declaration of Independence
Declaration of Independence

Mayflower Compact
Mayflower Compact

Bill of Rights
Bill of Rights

Magna Carta

The colonial document in which the signers gave their consent to be governed according to the decisions made by their leaders is the Mayflower Compact.

Which of the following is an example of government's role of keeping order in society?(1 point)

Responses

taxing education
taxing education

prohibiting bartering
prohibiting bartering

issuing paper money
issuing paper money

operating a lottery

An example of government's role of keeping order in society is prohibiting bartering.

What do an autocratic government and an absolute monarchy have in common?(1 point)

Responses

One ruler
One ruler

One court system
One court system

A legislature
A legislature

A written constitution

An autocratic government and an absolute monarchy have in common the presence of one ruler.

In which government system is the state given the least power?(1 point)

Responses

unitary
unitary

federal
federal

parliamentary
parliamentary

confederal

In the confederal government system, the state is given the least power.

Compare and contrast dictatorship and monarchy. Give one similarity and one difference.(2 points)

Compare and contrast dictatorship and monarchy. Give one similarity and one difference.(2 points)

hello

difference between direct democracy and representative democracy lies in the way in which decisions are made. In a direct democracy, citizens directly participate in decision-making, meaning they vote on policy proposals and legislation themselves. This system is feasible in smaller communities or societies.

What is the square root of 169?

dude this thing is so op for connexus users

no its 17/49+5/9-8-10

I apologize for misinterpreting the expression. To solve the expression 17/49 + 5/9 - 8 - 10, let's simplify it step by step:

First, let's find the common denominator for 49 and 9, which is 441. Then, we can rewrite the expression as:

(17/49)*(9/9) + (5/9)*(49/49) - 8 - 10

Simplifying further:

153/441 + 245/441 - 8 - 10

Combining the fractions:

(153 + 245)/441 - 18

398/441 - 18

To subtract fractions, they must have the same denominator. Therefore, let's find a common denominator for 441 and 18, which is also 441:

398/441 - (18/1)*(441/441)

398/441 - 7938/441

Now, we can subtract the fractions:

(398 - 7938)/441

= -7540/441

= -170/9

Therefore, the answer to 17/49 + 5/9 - 8 - 10 is -170/9.