Math 3 Review

Front

What is the simplified form of \( \frac{x+3}{x-4} \cdot \frac{x-4}{x+5} \)?

Back

\( \frac{x+3}{x+5} \)

Front

Factor the expression \( k^2 + 7k + 10 \).

Back

\( (k+2)(k+5) \)

Front

What is the range of the function \( f(x) = \frac{1}{x} \)?

Back

\( y > 0 \)

Front

Simplify the expression \( \frac{7(m+6)}{m-3} \).

Back

\( \frac{7}{m-3} \)

Front

What is the simplified form of \( \frac{x+3}{x-2} \cdot \frac{x-2}{x+5} \)?

Back

\( \frac{x+3}{x+5} \)

Front

What is the definition of a rational function?

Back

A function that can be expressed as the ratio of two polynomials.

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

What is the difference between the domain and range of a function?

Back

Domain is the set of all possible input values, while range is the set of all possible output values.

Front

What is the simplified form of \( \frac{(m+6)}{(m-3)} \)?

Back

\( \frac{7}{m-3} \)

Front

What is the definition of a polynomial?

Back

An expression consisting of variables raised to non-negative integer powers and coefficients.