Simplifying Algebraic Expressions Sample Problems

Math Practice Online > free > lessons > Minnesota > 9th grade > Simplifying Algebraic Expressions

If your child needs math practice, click here.

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

MathScore.com