Order of Operations Worksheet:

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Solve the following questions with the Order of Operations:

Problem 1: 7 + (4 x 5)

Problem 2: 8 x (3 + 2)

Problem 3: (5 - 2) + 5 x 2.

Problem 4: 3 x 2 * (4 - 2) + 3

Problem 5: (5 - 3) x 5

Problem 6: 5 x 5 - 2.

Problem 7: 4 x 3 + (5 x 2)

Problem 8: 2 x 6 - (2 x 2)

Problem 9: 5 x 3 - (4 - 2) x 1

Problem 10: 2 x 2 - 3

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Parents Answer Key on Next Page

Parents Answer Key:

Note: More than one page, there are multiple pages.

Problem 1:

7 + (4 x 5).

Start with Parentheses (4 x 5) equals 20.

Then add 7, so 7 + 20, which equals 27.

So the Answer to this problem is 27

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Problem 2:

8 x (3 + 2).

Start with Parentheses first, (3 + 2), which equals 5.

Then move onto Multiplication so: 8 x 5, which equals 40

The Answer to this problem is 40.

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Problem 3:

(5 - 2) + 5 x 2.

Start with Parentheses first (5 -2), which equals 3.

Then move onto the Multiplication, so 5 x 2, which equals 10.

Then add 3 + 10, which equals 13.

The Answer to this problem is 13.

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Problem 4:

3 + 2 x (4 - 2) + 3

Start with Parentheses first, (4 - 2), which equals 2.

Then rewrite the equation as:

3 + 2 x 2 + 3

Now we do multiplication, 2 x 2 which equals 4.

Then we rewrite the problem again:

3 + 4 + 3, Now we simply add 3 + 4 + 3, which equals 10.

3 + 4 equals 7, and 7 + 3 equals 10.

The Answer to this problem is 10.

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Problem 5:

(5 - 3) x 5.

Start with Parentheses first, (5 - 3) which equals 2.

Then move onto the only remaining step which is multiplication, so do 2 x 5.

2 x 5 equals 10.

The Answer to this problem is 10.

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Problem 6:

5 x 5 - 2

Take a look that there aren’t any Parentheses, or exponents, and that in this equation there are only two steps, Multiplication and Subtraction.

So if you look at the order of operations, what comes after Parentheses and exponents?

Multiplication, so the first thing we need to do is 5 x 5, which equals 25.

Then all we need to do is 25 - 2, which equals 23.

The Answer to this problem is 23.

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Problem 7:

4 x 3 + (5 x 2)

The first thing that you need to solve is the Parentheses, so we need to do (5 x 2), which equals 10.

Now that we’re done with the PArentheses, we need to move onto multiplication, so 4 x 3, which equals 12.

Now we rewrite the problem as:

12 + 10, which equals 22.

The Answer to this problem is 22.

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Problem 8:

2 x 6 - (2 x 2)

The first thing you need to do is solve what's in the Parentheses, so first ( 2 x 2), which equals 4.

Next we move onto multiplication, so we do 2 x 6 which equals 12.

Now we rewrite the problem as: 12 - 4 which equals 8.

The Answer to this problem is 8.

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Last Two Problems on Next Page

Problem 9:

5 x 3 - (4 - 2) x 1.

First do the Parentheses, so (4 - 2), which equals 2.

Then do Multiplication, so do 5 x 3, which equals 15.

So now we rewrite the problem as 15 - 2 x 1.

Now we do the other Multiplication, which is 2 x 1, which equals 2.

So now we just have 15 - 2, which equals 13.

The Answer to this problem is 13.

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Problem 10:

2 x 2 - 3

First do the Multiplication, 2 x 2, which equals 4.

Then do 4 - 3, which equals 1.

The Answer to this problem is 1.

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If you made it all the way through, and answered all questions correctly, congrats!

Remember, Education is key!

Happy Learning!