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## Polynomial Fraction Simplification - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=1, Mode=bi

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1.

2.

### Complexity=1, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1.

2.

### Complexity=2, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1.

2.

### Complexity=3, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1.

2.

### Complexity=4, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1.

2.

### Complexity=1, Mode=bi

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1
Solution

Factor:

Remove 3, the common factor:

2
Solution

Factor:

Remove x + 2, the common factor:

### Complexity=1, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1
Solution
Factor each expression

Eliminate the common factor, x + 5

x - 10
2
Solution
Factor each expression

Eliminate the common factor, x - 2

### Complexity=2, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1
Solution
Factor each expression

Eliminate the common factor, x + 5

2
Solution
Factor each expression

Eliminate the common factor, x - 7

### Complexity=3, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1
Solution
Factor each expression

Eliminate the common factor, x - 4

2
Solution
Factor each expression

Eliminate the common factor, x + 2

### Complexity=4, Mode=poly

Simplify. If the denominator is 1, write nothing (just write the numerator). If the answer is negative, put the (-) sign in the numerator.

1
Solution
Factor each expression

Eliminate the common factor, 2x + 1