Unit 6 Retest

The area of a rectangular garden is represented by the polynomial shown below. 

x² + 19x – 42 

What are the dimensions (length and width) of the rectangular garden?

• (x + 21) and (x – 2)

• (x – 21) and (x + 2)

• (x + 42) and (x – 1)

•  (x – 6) and (x + 7)

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A numeric expression involving rational exponents is shown below.

​ Simplify the expression. 

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Mathematical Equivalence

OFF

A wall mosaic is being designed. The tiles for the wall make a rectangular grid consisting of m³ rows and m⁵ columns. Which expression shows the number of tiles on the wall?

•  m⁸

• 2m³ + 2m⁵

•  m³ + m⁵

•  m¹⁵

Which function is equivalent to f(x) = 6x² − 13x + 5?

•  f(x) = (3x − 1)(2x + 5)

•  f(x) = (3x - 5)(2x - 1)

•  f(x) = (3x - 1)(2x - 5)

• f(x) = (3x - 5)(2x + 1)

Which function is equivalent to f(x) = 49x² - 81?

•  f(x) = (7x + 9)²

• f(x) = (7x - 9)²

• f(x) = (7x - 9)(7x + 9)

• f(x) = x(7x - 9)²

Which of these rectangles has an area that can be written as the difference of two squares?

•  I only

•  I and II

• IV only

• I and IV

Which expression represents the area covered by the wall mural?

•  5x + 6

• 10x + 12

• 6x² + 13x + 5

•  6x² + 7x + 5

Which expression represents the perimeter of the pool?

•  4x² + 15xy

•  x² + 11xy

•  2x² + 22xy

• x² + xy

The perimeter of rectangle A can be represented by the expression 4r² + 3r.  The perimeter of a smaller rectangle B can be represented by the expression r² - 5r.  How much greater is the perimeter of rectangle A?

• 3r² - 8r

•  5r² - 2r

• 5r² + 8r

• 3r² + 8r

Which expression is equivalent?

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