Apply the Skill - Algebra, Functions, and Patterns

What is the product of (x + 5)(x - 7)?

• x² - 2x - 12

• x² + 2x + 12

• x² + 2x + 35

• x² - 2x - 35

Which of the following is equal to (x - 3)(x - 3)?

• x² - 6x + 9

• x² + 6x - 9

• x² + 6x + 9

• x² - 9x - 6

Which of the following is equal to x² - 6x - 16?

• (x + 4)(x - 4)

• (x - 2)(x - 8)

• (x - 2)(x + 8)

• (x + 2)(x - 8)

The dimensions of a rectangle are 2x - 1 and 4x + 1. Which expression represents the area of the rectangle?

• 8x² + 2x - 1

• 6x² + 4x - 1

• 8x² + 4x - 1

• 8x² + 6x - 1

If 4x + 1 is one factor of 4x² + 13x + 3, which of the following is the other factor?

• x + 1

• x + 3

• x - 13

• x - 2

Which of the following is equal to x² + 7x -18?

• (x - 9)(x + 2)

• (x - 6)(x + 3)

• (x + 9)(x - 2)

• (x + 6)(x - 3)

Which of the following can be a value of x in the equation 3x² - 10x + 5 = 0?

• C. 5

• D. 0

Miranda made a rectangular vegetable garden next to her house. She used the house as one side and fenced in most of the other three sides. She used 12 meters of fencing. The area of her garden is 32 square meters. To find a possible width of her garden, solve w² - 12w = -32. Which of the following is a possible width of her garden?

• 1 m

• 4 m

• 6 m

• 8 m

• C. 5

• D. 0

Which shows the solutions for the following equation? 2x² + 18x + 36 = 0

• 3 and -6

• -3 and 6

• 3 and 6

• -3 and -6