Algebra 2B Final 2

Solve

a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Factor:  6x² - 7x - 10

• (3x + 2)( 2x - 5)
• (3x - 2)( 2x + 5)
• (6x - 5)(x + 2)
• (6x + 5)(x - 2)

Factor:  8x² + 31x - 4

• (8x - 1)(x + 4)
• (4x - 1)(2x + 4)
• (2x - 1)(4x + 4)
• (8x - 2)(x + 2)

Solve by using the quadratic formula.

• A

• B

• C

• D

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{-18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$  

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Solve by completing the square:
v² + 6v − 59 = 0

• {-5 + 5√2, -5 - 5√2}
• {5 + 5√2, 5 - 5√2}
• {-3 + 2√17, -3 - 2√17}
• {3 + 2√17, 3 - 2√17}

What is the vertex of this parabola?

• (1, 2)
• (-1, -2)
• (1, -2)
• (-1, 2)

Find the Vertex:
y = x² + 6x + 2

• (-3,-7)
• (1,6)
• (6,2)
• No Real Solution

Find the vertex of the following quadratic equation:

y = 2x² -16x + 33

• (-4, 129)

• (4, 1)

• (0, 0)

• (2,9)