Allday Education

Free Simplifying Rational Expressions Worksheet

Ten simplify-a-rational-expression problems with a fully reduced key.

Answer key included
Name: Date:
Simplifying Rational Expressions
1.
6x26x2x\frac{6x^{2} - 6x}{2x}
2.
25x230x5x\frac{25x^{2} - 30x}{5x}
3.
20x2+20x4x\frac{20x^{2} + 20x}{4x}
4.
12x224x4x\frac{12x^{2} - 24x}{4x}
5.
4x28x2x\frac{4x^{2} - 8x}{2x}
6.
20x210x5x\frac{20x^{2} - 10x}{5x}
7.
25x2+5x5x\frac{25x^{2} + 5x}{5x}
8.
9x212x3x\frac{9x^{2} - 12x}{3x}
9.
18x2+18x3x\frac{18x^{2} + 18x}{3x}
10.
20x25x5x\frac{20x^{2} - 5x}{5x}
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Simplifying Rational Expressions
1.
6x26x2x\frac{6x^{2} - 6x}{2x}
Answer: 3x33x - 3
2.
25x230x5x\frac{25x^{2} - 30x}{5x}
Answer: 5x65x - 6
3.
20x2+20x4x\frac{20x^{2} + 20x}{4x}
Answer: 5x+55x + 5
4.
12x224x4x\frac{12x^{2} - 24x}{4x}
Answer: 3x63x - 6
5.
4x28x2x\frac{4x^{2} - 8x}{2x}
Answer: 2x42x - 4
6.
20x210x5x\frac{20x^{2} - 10x}{5x}
Answer: 4x24x - 2
7.
25x2+5x5x\frac{25x^{2} + 5x}{5x}
Answer: 5x+15x + 1
8.
9x212x3x\frac{9x^{2} - 12x}{3x}
Answer: 3x43x - 4
9.
18x2+18x3x\frac{18x^{2} + 18x}{3x}
Answer: 6x+66x + 6
10.
20x25x5x\frac{20x^{2} - 5x}{5x}
Answer: 4x14x - 1
Andy · alldayeverydaymath.com

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About this worksheet

Students factor and cancel common factors to reduce rational expressions — the algebra-of-fractions skill that anchors the rational-functions unit. A clean lead-in to adding and solving them.

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