Reporting Category Algebra

Which expression is equivalent to 3x² +4x−15

• (x − 3)(3x + 5)

• (x + 3) (3x − 5)

• (x − 3) (3x − 5)

• (x + 3) (3x + 5)

Which expression is a factor of x² − x − 6

• x − 6

• x − 1

• x − 3

• x − 2

Which expression is equivalent to 9x² + 12x + 4?

• (3x - 2)(3x + 2)

• (3x - 2)²

• (3x + 2)²

• None of these

Which expression is equivalent to

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The figure shows the side lengths of a triangle. Which expression represents the perimeter of the triangle?

• 7x² + 3xy

• 8x² + xy

• 7x⁴ + 3x²y²

• 8x⁴ + x²y²

Which expression is equivalent to 2q² − (5 + 4q) + 6q + (3q² + 1)?

• 5q² +10q − 6

• 9q² − 4

• 5q² − 10q − 6

• 5q² +2q − 4

The area of a rectangular sheet of paper is 2x² + 6x − 4. A smaller rectangle with an area of 3x + 2 is cut out of the center of the piece of paper. What is the area of the remaining piece of paper?

• 2x² + 9x − 6

• 2x² + 9x − 2

• 2x² + 3x − 6

• 2x² + 3x − 2

A rectangular prism has a width of x − 3 inches, a length of x + 2 inches, and a height of 2x inches. If the volume of the prism can be found using V = lwh, then which expression represents the volume in cubic inches of this rectangular prism?

• 2x³ − 2x² − 12x

• 2x³ − 6

• 4x³ − 1

• 2x³ − 10x² − 12x

Which expression is equivalent to (x − 3)(2x² − 3x + 1)?

• 2x² + 9x − 3

• 2x² − 9x − 3

• 2x³ − 9x² + 10x − 3

• 2x³ + 9x² − 10x − 3

The diagram shows the floor plan of a backyard deck. All dimensions are given in feet. Which expression represents the area of the deck in square feet?

• 2x² + 1

• 3x² + 1

• 2x² − 7x − 6

• 2x² − x − 6