W1 OL Extra Practice - Integer Word Problems and Multiplying & Dividing Integers - Jacqueline Powers Daugherty | Library

The first half of this is practice over integer word problems (adding/subtracting) and the second half is over multiplication/division.

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A fish was swimming 8 feet below sea level. It ascended 3 feet. Where is it now?

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A fish was swimming 8 feet below sea level. It descended 3 feet. Where is it now?

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A penguin was standing on a cliff, 15 feet above sea level. It jumped and dove to a spot that is 20 feet below sea level. Find the difference between its starting and stopping elevations.

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A penguin was standing on a cliff, 15 feet above sea level. It jumped and dove 20 feet. Where is it now?

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A submarine was located 300 feet below sea level. If it ascends 100 feet, what integer describes its new location?

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A submarine was located 300 feet below sea level. If it descends 100 feet, what integer describes its new location?

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A submarine was located 300 feet below sea level. It ascended until it was 100 feet below sea level. What is the vertical distance between its old and new location?

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Elena owed the bank $50. She paid off $20. What is her account balance now?

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Elena owed the bank $50. She deposited enough money to pay back what she owes, and now she even has $20 leftover in her account. How much money did she deposit?

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Erik and Andy were playing a video game. Erik's score was 5 points. Andy's score was 20 points lower than that. What was Andy's score?

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Erik and Andy were playing a video game. Erik's score was 5 points. Andy's score was -20 points. What is the difference in their scores?

Last week we added and subtracted integers.  Take a second to review the rules above. 

This week we will multiply and divide integers.  

Watch this video to understand how we multiply and divide.  (I would take a couple of notes if I were you. :)

**Note:  He uses the word "minus" interchangeably for "negative."  Don't let that confuse you.

So, in summary, there are really two steps:
Multiply and divide focusing only on the numbers, ignoring the signs. 
If both signs in the problem are the same the answer is positive.  If the signs are different the answer is negative.  

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Drag the problem to the correct solution. Will its answer be positive or negative?

-4 x 7 =
-1 x 12 =
-6 x -3 =
-20 / -5 =
-18 / 3 =
36 / 12 =

Positive Result
Negative Result

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Match the problem with the correct answer.

Draggable item		Corresponding Item
-5 x 2 =		12
1 x 7 =		-12
-4 x -3 =		10
-9 x -3 =		-10
-1 x 7 =		-7
4 x -3 =		7
-9 x 3 =		-27
-5 x -2 =		27

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-7(-2)

1

-7(-2)(-1)

1

8(-3)

1

8(-3)(-2)

1

-9/(-3)

1

-9/3

Use this information for the following 3 problems:

Evaluate each expression if x= -2, y=1, and z=5.

1

z / -5 =

1

xy =

(hint: when variables are touching with no operation in between, you multiply.)

1

x3 =

1

The average 1st grader loses 3 teeth per year. In a 1st grade class of 30 students, what will the change in number of teeth be?

1

Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 degrees celsius. What was the temperature of the coldest day on record in Felix's town?

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Due to COVID, the movie theater reported losses of $475 each day for 3 days. What was the effect for the three days?

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Samantha has lost 2 pairs of earbuds every month beginning in March through the end of August. What has been the impact on her earbud collection?

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Select All that would have a negative product or quotient.

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If the dividend is negative and the divisor is postive; the quotient will be negative.

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W1 OL Extra Practice - Integer Word Problems and Multiplying & Dividing Integers

W1 OL Extra Practice - Integer Word Problems and Multiplying & Dividing Integers

A fish was swimming 8 feet below sea level. It ascended 3 feet. Where is it now?

A fish was swimming 8 feet below sea level. It descended 3 feet. Where is it now?

A penguin was standing on a cliff, 15 feet above sea level. It jumped and dove to a spot that is 20 feet below sea level. Find the difference between its starting and stopping elevations.

A penguin was standing on a cliff, 15 feet above sea level. It jumped and dove 20 feet. Where is it now?

A submarine was located 300 feet below sea level. If it ascends 100 feet, what integer describes its new location?

A submarine was located 300 feet below sea level. If it descends 100 feet, what integer describes its new location?

A submarine was located 300 feet below sea level. It ascended until it was 100 feet below sea level. What is the vertical distance between its old and new location?

Elena owed the bank $50. She paid off $20. What is her account balance now?

Elena owed the bank $50. She deposited enough money to pay back what she owes, and now she even has $20 leftover in her account. How much money did she deposit?

Erik and Andy were playing a video game. Erik's score was 5 points. Andy's score was 20 points lower than that. What was Andy's score?

Erik and Andy were playing a video game. Erik's score was 5 points. Andy's score was -20 points. What is the difference in their scores?

Drag the problem to the correct solution. Will its answer be positive or negative?

Match the problem with the correct answer.

-7(-2)

-7(-2)(-1)

8(-3)

8(-3)(-2)

-9/(-3)

-9/3

z / -5 =

xy = (hint: when variables are touching with no operation in between, you multiply.)

x3 =

The average 1st grader loses 3 teeth per year. In a 1st grade class of 30 students, what will the change in number of teeth be?

Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 degrees celsius. What was the temperature of the coldest day on record in Felix's town?

Due to COVID, the movie theater reported losses of $475 each day for 3 days. What was the effect for the three days?

Samantha has lost 2 pairs of earbuds every month beginning in March through the end of August. What has been the impact on her earbud collection?

Select All that would have a negative product or quotient.

If the dividend is negative and the divisor is postive; the quotient will be negative.

The product of two negative integers will be a negative number.

A fish was swimming 8 feet below sea level. It ascended 3 feet. Where is it now?

A fish was swimming 8 feet below sea level. It descended 3 feet. Where is it now?

A penguin was standing on a cliff, 15 feet above sea level. It jumped and dove to a spot that is 20 feet below sea level. Find the difference between its starting and stopping elevations.

A penguin was standing on a cliff, 15 feet above sea level. It jumped and dove 20 feet. Where is it now?

A submarine was located 300 feet below sea level. If it ascends 100 feet, what integer describes its new location?

A submarine was located 300 feet below sea level. If it descends 100 feet, what integer describes its new location?

A submarine was located 300 feet below sea level. It ascended until it was 100 feet below sea level. What is the vertical distance between its old and new location?

Elena owed the bank $50. She paid off $20. What is her account balance now?

Elena owed the bank $50. She deposited enough money to pay back what she owes, and now she even has $20 leftover in her account. How much money did she deposit?

Erik and Andy were playing a video game. Erik's score was 5 points. Andy's score was 20 points lower than that. What was Andy's score?

Erik and Andy were playing a video game. Erik's score was 5 points. Andy's score was -20 points. What is the difference in their scores?

Drag the problem to the correct solution. Will its answer be positive or negative?

Match the problem with the correct answer.

-7(-2)

-7(-2)(-1)

8(-3)

8(-3)(-2)

-9/(-3)

-9/3

z / -5 =

xy = (hint: when variables are touching with no operation in between, you multiply.)

x3 =

The average 1st grader loses 3 teeth per year. In a 1st grade class of 30 students, what will the change in number of teeth be?

Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 degrees celsius. What was the temperature of the coldest day on record in Felix's town?

Due to COVID, the movie theater reported losses of $475 each day for 3 days. What was the effect for the three days?

Samantha has lost 2 pairs of earbuds every month beginning in March through the end of August. What has been the impact on her earbud collection?

Select All that would have a negative product or quotient.

If the dividend is negative and the divisor is postive; the quotient will be negative.

The product of two negative integers will be a negative number.

xy =

(hint: when variables are touching with no operation in between, you multiply.)

xy =

(hint: when variables are touching with no operation in between, you multiply.)