Simplifying Rational Algebraic Expressions Quiz

What is the first step in simplifying the expression 30x^5 / 45x^2?

• Expand the powers of x

• Factor the numbers 30 and 45

• Cancel out the x terms

• Multiply the numerator and denominator by 2

After factoring 30 and 45, what common factor can be canceled out?

• 5

• 3

• 2

• 15

In the expression 3y^2 + 6y, what is the common factor used for simplification?

• y

• 3

• 6

• 2

What is the simplified form of the expression 3y^2 + 6y?

• 3(y + 2)

• y + 2

• 3y(y + 2)

• y(y + 2)

Which method is used to simplify the expression x^2 - 16?

• Trinomial factoring

• Completing the square

• Difference of squares

• Common monomial factoring

What are the factors of x^2 - 16?

• (x + 5)(x - 3)

• (x + 4)(x - 4)

• (x + 2)(x - 8)

• (x + 8)(x - 2)

In the expression x^2 + 2x - 8, what are the factors that add up to 2?

• 3 and -1

• 4 and -2

• 6 and -4

• 5 and -3

What is the simplified form of the expression x^2 + 2x - 8 / x^2 + 7x + 12?

• x + 2 / x - 3

• x + 4 / x - 5

• x - 4 / x + 5

• x - 2 / x + 3

What is the challenge problem given at the end of the video?

• 4x^2 - 16 / x^2 + 8x + 16

• x^2 - 9 / x^2 + 6x + 9

• 6x - 3 / 15x + 30

• 2x^2 + 4x / x^2 + 2x

What should viewers do if they want to stay updated with the latest uploads?

• Email the teacher

• Like and subscribe

• Comment on the video

• Share the video