4TH FINALS

Which of the following is the greatest common monomial factor of the terms of the polynomial 30x⁵y⁴ - 60x⁷y⁷ + 45x³y⁶

• 15x²y⁴

• 15x³y⁴

• 15x²

• 15x⁷y⁷

The factored form of 24x² - 64xy + 80xz is

• 8x (3x – 8y + 10z)

• 4x (6x -16xy + 20xz)

• 2x (12x – 32y + 40z)

• 12(2x – 5xy + 6xz)

Which is the first step in factoring 9r²s³ - 45r³s² ?

• find the binomial factors

• use the FOIL method

• get the gcmf

• write factors as product

The area of the backyard of Mr. Perez measures (x² - 3x – 28) m². What are the dimensions of his backyard?

• (x + 7)m and (x + 4)m

• (x + 7)m and (x - 4)m

• (x - 7)m and (x + 4)m

• (x - 7)m and (x - 4)m

The area of a rectangle is length times width. The rectangle has an area of (2x² + 5x + 3) sq.cm. Which of the following are valid expressions for the length and width of the rectangle?

• (2x – 3) and (x – 1)

• (2x + 3) and (x + 1)

• (x – 3) and (2x – 1)

• (x + 3) and (2x + 1)

Express “the quotient of 4m and 8n” to rational expression.

• 4m(8n)

• 4m/8n

• 8n/4m

• • -4m/8n

What rational algebraic expression is the same as 𝑥 ²−25/ 𝑥−5 ?

• 𝑥 + 5

• 𝑥 − 5

• 5

• -5

What is the result when the indicated operation is performed on 9x/12y² ÷ 5x/20y² ?

• 1/y²

• 1/3y²

• y²

• 3y²

What is the simplest form of 18𝑥 ⁴𝑦 ⁵ /27𝑥 ²𝑦⁶ ?

• 3x/4y

• 2x²/3y

• 6x²/9y

• 2y/3x²

What is x/z + y/z equal to?

• xy/z

• xy/2z

• x+y/z²

• x+y/z