How to subtract variables - ISEE Upper Level Mathematics Achievement

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Question

Simplify:

Answer

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Question

Simplify:

Answer

Group and collect like terms:

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Question

Simplify the expression:

Answer

Group and collect like terms:

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Question

What is ?

Answer

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Question

Simplify:

Answer

To simplify this problem we need to combine like terms.

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Question

Simplify:

Answer

To simplify this problem we need to combine like terms.

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Question

Simplify:

Answer

To simplify this problem we need to combine like terms.

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Question

Simplify the following expression:

Answer

Simplify the following expression:

Let's begin by subtracting the 12y

From here, our answer should be apparent:

So our answer is just 0

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Question

Simplify the following expression:

Answer

Simplify the following expression:

We can only subtract variables with the same exponent.

In this case, we can only combine the first two terms.

To do so, keep the exponents the same and subtract the coefficients.

So our answer is:

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Question

Simplify the following expression:

Answer

Simplify the following expression:

Now, to complete this, we need to realize that we can only subtract variables with the same exponent.

In this case, we can only combine our first two terms, because they both have an exponent of 7. The third term has an exponent of 8, so it cannot be combined and must be left as is.

So, our answer must be:

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