Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

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Question: 1 / 400

Does the expression 8x + 2x - 3y - 9x simplify to x - 3y?

Yes

No

To determine whether the expression \(8x + 2x - 3y - 9x\) simplifies to \(x - 3y\), we should first combine the like terms in the expression.

1. Start by identifying the terms with \(x\):

- \(8x\)

- \(2x\)

- \(-9x\)

2. Combine these \(x\) terms:

- \(8x + 2x\) equals \(10x\).

- Then, subtract \(9x\):

\[

10x - 9x = x.

\]

3. Next, look at the other term in the expression:

- The term \(-3y\) remains unchanged as it does not combine with any \(x\) terms.

Therefore, when we combine all the like terms, the simplified expression is:

\[

x - 3y.

\]

Since our steps confirm that \(8x + 2x - 3y - 9x\) simplifies exactly to \(x - 3y\), the correct answer to the question is actually "Yes." The initial answer provided does not align with this simplification

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