Which of the following is irrational?(1 point)

Responses

−7 8/37

3.6363636363636363...

3√4

52.781654292

3.6363636363636363...

What number added to −70 has a sum of zero?

The number that needs to be added to -70 in order to get a sum of zero is 70.

Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)

Responses

6.4

9.8

7.1

8.4

To estimate the value of 6×2–√, we need to find the square root of 2 and then multiply it by 6.

The square root of 2 is approximately 1.414.

Therefore, the estimate of 6×2–√ is approximately 6×1.414, which is approximately 8.484.

Of the given choices, the best estimate is 8.4.

Carson has moved back 3 spaces in a game. What must be the next turn to move back to the original position?(

To move back to the original position after moving back 3 spaces, Carson must move forward 3 spaces.

Nicolas plays two rounds of golf. In the first round, he scores 3 under par, and he scores 3 over par for the second round. Are these opposite quantities whose sum is 0? Respond 1 if these quantities are opposites. Respond 2 if these quantities are not opposites

1

one town is 20 feet above sea level. Another town is 10 feet below sea level. Are these opposite quantities whose sum is 0? Respond 1 if these quantities are opposites. Respond 2 if these quantities are not opposites

2

Which expression shows x and its opposite are 0

The expression that shows x and its opposite are 0 is x + (-x) = 0.

Which expression correctly shows the sum of opposite numbers?

The expression that correctly shows the sum of opposite numbers is x + (-x).

Which expression correctly shows the sum of opposite numbers?(1 point)

Responses

(−25)+(−25)=−50
left parenthesis negative 25 right parenthesis plus left parenthesis negative 25 right parenthesis equals negative 50

(−25)+25=50
left parenthesis negative 25 right parenthesis plus 25 equals 50

(−25)+(−25)=0
left parenthesis negative 25 right parenthesis plus left parenthesis negative 25 right parenthesis equals 0

(−25)+25=0

(−25)+(−25)=−50

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

Responses

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

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

Responses

A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.

A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.

A deposit of $20 to a bank and a fee charged of $20.
A deposit of $20 to a bank and a fee charged of $20.

A withdrawal of $20 to a bank and a fee charged of $20.
A withdrawal of $20 to a bank and a fee charged of $20.

A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.