Simplifying Rational Expressions: Key Concepts and Techniques

What is the first step in simplifying rational expressions?

• Combine like terms

• Factor both the numerator and the denominator

• Divide the numerator by the denominator

• Solve for the variable

What must be true for binomials to be simplified with each other?

• They must have the same variable

• They must have the same coefficient

• They must be exactly the same

• They must have opposite signs

What is the simplified form of the expression where the numerator and denominator share a common binomial 'x - 3'?

• x - 3

• 1

• x/7

• 1/7

What restriction applies to the variable x in the expression where the denominator includes 'x - 3'?

• x cannot equal 3

• x cannot equal 1

• x cannot equal 0

• x cannot equal -3

In the expression with a denominator factored to 'x + 2' and 'x + 1', what values can x not take?

• x cannot equal 2 and 1

• x cannot equal -2 and -1

• x cannot equal 0 and 1

• x cannot equal 1 and 2

When simplifying expressions, what happens to terms in the numerator and denominator that are the same?

• They are squared

• They are subtracted

• They cancel each other out

• They are multiplied

What is the result of simplifying the expression '2x^2/3x' using exponent properties?

• 2/3x

• 2x/3

• x^2/3

• 2/3

What are the domain restrictions for the expression '2x^2/3x'?

• x cannot equal 3 or -5

• x cannot equal 0 or 5

• x cannot equal 0 or -5

• x cannot equal 3 or 5

In the expression 'n + 2/n - 3', what values can n not take?

• n cannot equal -2 and -3

• n cannot equal 2 and -3

• n cannot equal -2 and 3

• n cannot equal 2 and 3

What is the simplified form of the expression 'n + 2/n - 3' after cancelling common terms?

• 1

• n - 3

• Cannot be simplified further

• n + 2