February 26 Checkin

Front

What is the result of subtracting \( \frac{x^2-3}{2x+7} - \frac{2x-5}{2x+7} \)?

Back

The result is \( \frac{x^2-2x+2}{2x+7} \), where \( x \neq -\frac{7}{2} \).

Front

What operation is used when canceling expressions in a fraction?

Back

Division.

Front

What is the simplified form of the expression \( \frac{n}{2m} \)?

Back

The simplified form is \( \frac{n}{2m} \).

Front

What is the domain restriction for the expression \( \frac{x^2-3}{2x+7} \)?

Back

The domain restriction is \( x \neq -\frac{7}{2} \).

Front

How do you combine fractions with a common denominator?

Back

You subtract or add the numerators while keeping the common denominator.

Front

What is the first step in subtracting two fractions?

Back

Ensure both fractions have a common denominator.

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form, removing any common factors.

Front

What is the result of \( \frac{a}{b} \div \frac{c}{d} \)?

Back

The result is \( \frac{a imes d}{b imes c} \).

Front

What is the definition of a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

What is the process of finding a common denominator called?

Back

Finding a common denominator is called 'finding a least common multiple' (LCM).