Factor Quadratic and Solve

A new high school gym is painting the gym floor to represents the boundaries of a volleyball court. The court is shaped like a rectangle and has an area of 162 meters. The length of the court is 9 meters greater than the width. The situation can be represented by the equation w2 + 9w- 162 = 0. What is the width of the volleyball court in meters? Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A.8A

Which answer choice correctly shows the quadratic equation above in factored form?

• (x + 7)(x - 2) = 0

• (x - 7)(x + 2) = 0

• (x - 7)(x - 2) = 0

• (x + 7)(x + 2) = 0

Tags

CCSS.HSA-REI.B.4B

Solve
x² + 13x + 12 = 0

• x = -12, -1

• x = 12, 1

• x = 13, 1

• x = -13, -1

Tags

CCSS.HSA-REI.B.4B

What is the first step in solving (x + 2)(x - 3) = 0 ?

• Plug in zero for x

• Solve for x

• distribute

• Set each binomial factor equal to zero

Tags

CCSS.HSA-REI.B.4B

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Factor \(x^2-6x-27\)

• (x - 9)(x - 3)

• (x + 9)(x - 3)

• (x - 9)(x + 3)

• (x + 9)(x + 3)

• (x + 9)(x - 3)

• (x - 9)(x + 3)

• (x - 9)(x - 3)

• (x + 9)(x + 3)

Factor \(x^2-10x-56\)

• (x + 8)(x - 7)

• (x + 14)(x - 4)

• (x - 14)(x + 4)

• (x - 8)(x + 7)

Factor \(x^2-17x+60\)

• (x + 30)(x - 2)

• (x - 12)(x - 5)

• (x + 10)(x - 6)

• (x - 4)(x + 15)

Look at the worked out example. Which 2 numbers represent the SOLUTIONS?

• -8 and -9

• -9 and 1

• 1 and -1

• 9 and -1

Tags

CCSS.HSA-REI.B.4B