Simplifying Algebraic Expressions Sample Problems

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These sample problems below for Simplifying Algebraic Expressions were generated by the MathScore.com engine.

Sample Problems For Simplifying Algebraic Expressions

Complexity=3, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. 4x - 3 - 5x
Simplified:

2. ^-5x - 5 + 3x
Simplified:

Complexity=5, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. 4x - 8 - 5x + 2 - 5x
Simplified:

2. 4x - 6 + 2x + 4x - 3x
Simplified:

Complexity=5, Mode=two-vars

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. x - 8 + 2x - x + x
Simplified:

2. 3 + y - 2x - y - x
Simplified:

Complexity=6, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. ^-8 - 6 - y² - 5y² + 8 - 2x²
Simplified:

2. ^-5x + 3 - 3x - 2x² + 4y² + 5y²
Simplified:

Complexity=7, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. 5x² + y - 2x - 5 - 6 + 3y² + 2y²
Simplified:

2. ^-4x + x² - 5 + 2y - 3y² + 2y + y²
Simplified:

Complexity=8, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. ^-6 + x + 5x + 4 + 5 + 5x² - 7 + x
Simplified:

2. ^-2y + 2x² + 5x² + 2 - 5 - 4x² + 3x + 5
Simplified:

Complexity=9, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

1. 3x + 3y² - 3 - 7 - 7 - 4x² + 2y - 3x + 5x²
Simplified:

2. 5y + y + 2y² + x² + 3y - 2x² + 4y² + 4 - 2x²
Simplified:

Answers

Complexity=3, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	4x - 3 - 5x	Simplified:
Solution 4x - 5x = -x

#	Problem	Correct Answer	Your Answer
2	^-5x - 5 + 3x	Simplified:
Solution ^-5x + 3x = ^-2x

Complexity=5, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	4x - 8 - 5x + 2 - 5x	Simplified:
Solution 4x + ^-5x = -x ^-8 + 2 = ^-6

#	Problem	Correct Answer	Your Answer
2	4x - 6 + 2x + 4x - 3x	Simplified:
Solution 4x + 2x + 4x = 10x

Complexity=5, Mode=two-vars

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	x - 8 + 2x - x + x	Simplified:
Solution x + 2x + -x + x = 3x

#	Problem	Correct Answer	Your Answer
2	3 + y - 2x - y - x	Simplified:

Complexity=6, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	^-8 - 6 - y² - 5y² + 8 - 2x²	Simplified:
Solution ^-8 + ^-6 + 8 = ^-6 -y² + ^-5y² = ^-6y²

#	Problem	Correct Answer	Your Answer
2	^-5x + 3 - 3x - 2x² + 4y² + 5y²	Simplified:
Solution ^-5x + ^-3x = ^-8x 4y² + 5y² = 9y²

Complexity=7, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	5x² + y - 2x - 5 - 6 + 3y² + 2y²	Simplified:
Solution ^-5 + ^-6 = ^-11 3y² + 2y² = 5y²

#	Problem	Correct Answer	Your Answer
2	^-4x + x² - 5 + 2y - 3y² + 2y + y²	Simplified:
Solution 2y + 2y = 4y ^-3y² + y² = ^-2y²

Complexity=8, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	^-6 + x + 5x + 4 + 5 + 5x² - 7 + x	Simplified:
Solution ^-6 + 4 + 5 + ^-7 = ^-4 x + 5x + x = 7x

#	Problem	Correct Answer	Your Answer
2	^-2y + 2x² + 5x² + 2 - 5 - 4x² + 3x + 5	Simplified:
Solution 2x² + 5x² + ^-4x² = 3x² 2 + ^-5 + 5 = 2

Complexity=9, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x², type x^2.

#	Problem	Correct Answer	Your Answer
1	3x + 3y² - 3 - 7 - 7 - 4x² + 2y - 3x + 5x²	Simplified:
Solution 3x + ^-3x = 0x 0x = 0 ^-3 + ^-7 + ^-7 = ^-17 ^-4x² + 5x² = 1x²

#	Problem	Correct Answer	Your Answer
2	5y + y + 2y² + x² + 3y - 2x² + 4y² + 4 - 2x²	Simplified:
Solution 5y + y + 3y = 9y 2y² + 4y² = 6y² x² + ^-2x² = -x²

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