### All PSAT Math Resources

## Example Questions

### Example Question #1 : Rational Expressions

Simplify.

**Possible Answers:**

**Correct answer:**

Explanation:

Same denominator means you add straight across the numerators, keeping the denominator the same.

Add like terms.

Final Answer.

### Example Question #41 : Expressions

Simplify.

**Possible Answers:**

**Correct answer:**

Explanation:

Check for same Denominator

Add like terms

Check for GCF or if the expression can be factored

After factoring, divide out like terms.

Final Answer

### Example Question #1 : How To Add Rational Expressions With A Common Denominator

Simplify the following rational expression: (9x - 2)/(x^{2}) MINUS (6x - 8)/(x^{2})

**Possible Answers:**

**Correct answer:**

Explanation:

Since both expressions have a common denominator, x^{2}, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.

Humberto

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The University of Texas at Austin, Bachelors, Mathematics. University of Saint Thomas , Masters, Education.

### All PSAT Math Resources

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