Simplifying Rational Algebraic Expressions Quiz

What is the first step in mastering the simplification of rational algebraic expressions?

• Mastering different factoring techniques

• Learning to solve quadratic equations

• Practicing polynomial division

• Understanding linear equations

In Example 1, what common factor is used to simplify x^2 + 5x over x?

• 5

• x^2

• x + 5

• x

What pattern is used to simplify x^2 - 9 over x + 3 in Example 2?

• Sum of cubes

• Common monomial factoring

• Quadratic formula

• Difference of squares

In Example 3, what are the factors of the numerator x^2 - 4?

• x + 2 and x - 2

• x + 1 and x - 1

• x + 4 and x - 4

• x^2 and 4

For Example 4, what are the factors of the denominator x^2 - 25?

• x + 10 and x - 10

• x^2 and 25

• x + 2 and x - 2

• x + 5 and x - 5

In Example 5, what is the common factor used to simplify 3x^2 - 3 over 6x^2 - 6?

• 1

• x^2

• 3

• 6

What is the simplified form of 3 over 6?

• 3/2

• 1/3

• 1/2

• 2/3

In Example 6, what is the simplified form of 9x^2 - 16 over 12x - 16?

• 3x + 4 over 4

• 3x + 4 over 3x - 4

• 3x - 4 over 4

• 3x - 4 over 3x + 4

What technique is used to simplify 9x^2 - 16 in Example 6?

• Common monomial factoring

• Sum of cubes

• Quadratic formula

• Difference of squares

In Example 6, what is the common factor in the denominator 12x - 16?

• 16

• 3

• 4

• x