Use the image to answer the question. Solve the following equation: 22+−11 . Use the number line as a model to find the solution. (1 point) Responses 33 33 −33 negative 33 11 11 −11

Answer 1

To solve the equation \(22 + (-11)\), we can visualize this using a number line.

Starting at 22, we will move 11 units to the left (since adding a negative is equivalent to subtracting).

1. Start at 22.
2. Move 11 units to the left:

\(22 - 11 = 11\)

So, the solution to \(22 + (-11)\) is \(11\).

The answer is: 11.

Answer 2

Jewell is trying to save money to take her friend out to lunch. She had saved $58 but had to buy gas today for $22. How much money does Jewell have left to spend on lunch? Write the integer addition that matches the situation, then solve.(1 point) Responses 58+22=80 . Jewell has $80 for lunch. 58 plus 22 is equal to 80. Jewell has $80 for lunch. −58+22=−36 . Jewell has −$36 for lunch. negative 58 plus 22 is equal to negative 36. Jewell has negative 36 dollars for lunch. −58+−22=36 . Jewell has $36 for lunch. negative 58 plus negative 22 is equal to 36. Jewell has $36 for lunch. 58+−22=36 . Jewell has $36 for lunch.

Answer 3

To find out how much money Jewell has left after buying gas, we can write the integer addition that matches her situation. She had $58 and spent $22 on gas, which can be represented as:

\[ 58 + (-22) \]

Now, let's solve it:

\[ 58 - 22 = 36 \]

Thus, Jewell has $36 left to spend on lunch.

The correct response is: 58 + (-22) = 36. Jewell has $36 for lunch.

Answer 4

A quarterback was sacked 8 yards his first pass, 5 yards his second pass, and 3 yards his third pass. How many total yards did he lose during this possession?(1 point) Responses 8+5+3=16 8 plus 5 plus 3 equals 16 −8+5+−3=−6 negative 8 plus 5 plus negative 3 equals negative 6 −8+−5+−3=−16 negative 8 plus negative 5 plus negative 3 equals negative 16 8+−5+−3=0

Answer 5

To find the total yards lost by the quarterback during the possession, we add the negative yards for each sack as they are losses. This can be represented as:

\[ -8 + (-5) + (-3) \]

Now, let's compute that step by step:

1. Adding the first two losses: \(-8 + (-5) = -13\)

2. Now adding the third loss: \(-13 + (-3) = -16\)

So, the total yards lost is \(-16\).

The correct response is: −8 + −5 + −3 = −16.

Answer 6

Connect the model −99+33+33+33=0 to the algorithm for solving the division problem it represents.(1 point) Responses The model represents −99÷(−33) , which is solved by dividing 99 by 33 and changing the sign to get −3 . The model represents negative 99 divided by left parenthesis negative 33 right parenthesis , which is solved by dividing 99 by 33 and changing the sign to get negative 3 . The model represents −99÷33 , which is solved by dividing 99 by 33 to get 3. The model represents negative 99 divided by 33 , which is solved by dividing 99 by 33 to get 3. The model represents −99÷33 , which is solved by dividing 99 by 33 and changing the sign to get −3 . The model represents negative 99 divided by 33 , which is solved by dividing 99 by 33 and changing the sign to get negative 3 . The model represents −99÷(−33) , which is solved by dividing 99 by 33 to get 3.

Answer 7

The equation \(-99 + 33 + 33 + 33 = 0\) can be interpreted as distributing the negative value of -99 into groups of -33. This can be represented as a division problem:

\[ -99 \div -33 \]

To solve this division:

1. Divide the absolute values: \[ 99 \div 33 = 3 \]

2. Since we are dividing two negative numbers, the result is positive, resulting in: \[ -99 \div -33 = 3 \]

So the correct interpretation is:

The model represents \(-99 \div (-33)\), which is solved by dividing 99 by 33 to get 3.