Simplifying Rational Expressions: Adding and Subtracting Techniques

What is the result of factoring out common terms from the numerator and denominator?

• 5x + 2 over 4x

• 4x + 5 over 2x

• 2x + 4 over 5x

• 5x + 4 over 2x

What does the expression simplify to after canceling common factors?

• 2x + 4 over 5x

• 4x + 5 over 2x

• 5x + 4 over 2x

• 5x + 2 over 4x

Why is it easier to deal with the simplified expression?

• None of the above

• It is visually less complex

• It requires fewer calculations

• Both visually less complex and requires fewer calculations

What variable does the teacher initially use in the new problem?

• a

• x

• y

• z

Why does the teacher switch the variable back to 'x'?

• Both to maintain consistency and because 'x' is easier to work with

• Because 'x' is easier to work with

• To maintain consistency

• No specific reason given

What should be done with the expression a^2 - 4a + 4 over a^2 + a - 6?

• Factor and simplify

• Multiply by a

• Add 4 to both numerator and denominator

• None of the above