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Home » Basic Algebra » Algebraic Expressions Practice

# Simplfying Algebraic Expressions

Practice Problems

## Practice Problems

Simplify each expression to lowest terms.

## Answer Key

Home » Basic Algebra » Algebraic Expressions Practice

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Practice Problems

Now that you've studied the four detailed examples for Simplfying Algebraic Expressions, you are ready to try some on your own!

Remember to use the distributive property first if possible. You will want to group like terms together. Remember that like terms must have the exact same variables.

Don't forget to be very careful as you simplify your terms and make sure that you always take the sign in front of the term as you move things around!

There are quite a few problems below to practice, so I would recommend completing the first two or three and then check your answers. If you are getting the answers correct, then move onto the harder problems.

If you find that your answers are incorrect, try to figure out where you are making your mistake. Take note of the mistake and then continue with your practice.

Good luck!

Simplify each expression to lowest terms.

Click here to check your answers.

1. -9n -n -3m

2. 3ab -2ac +4ab

3. 2a -4b +3ab -5a +2b

4. 8x -9y -3xy - 2y -x +4xy

5. 2r -3s -t +3t +3s

6. 4(2p -1) - (p+5)

7. 6(p +3q) - (7 +4q)

8. 2(xy -1) + 3(x-2y) -4xy

9. 4rs -2s -3(rs +1) -2s

10. 8y -2z -(y-z)+3yz

So... how did you do? Did you remember to take the sign in front of the term? This is where most students make mistakes when simplifying algebraic expressions.

Are you ready to move onto the next unit, Solving Equations?

You're doing a great job! Remember... Algebra skills build on one another, so make sure that you really understand each concept!

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