Factoring and the Quadratic Equation

Which method is most efficient to solve:
8x²  -  5x  = 0

• Square Roots

• Factoring

• Complete the Square

• Quadratic Formula

Can this quadratic be solved by BOTH square root method AND factoring?

16x² - 25 = 0

• Yes!

• No - just square root method

• No - just factoring

Decide on the best method:

3a² + 13a = -4

• Square Root Method

• Factoring

• Complete the Square

• Quadratic Formula

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

Solving the equation f(x) = x² - 8x + 15 =0, what are the two factors we can create to solve this equation? ​ (a)   .

• (x - 3) and (x - 5)

• (x + 3) and (x + 5)

• (x - 15)

Solve by factoring: x² + 3x - 18 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve by factoring!

• -2, 4

• -8

• ±8

• No real solution

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