Algebra II Sol Strands

Find the vertex of the function.

f(x) = x² - 8x + 15.

• (-4, -1)

• (4, -1)

• (4, 10)

• (-4, 7)

Factor completely: x²-6x+8

• (x-2)(x-4)

• (x-1)(x-8)

• (x+2)(x+4)

• (x+1)(x+8)

Factor:

25x² - 81

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

What is the relative max?

• (0, 36)

• (-2.55, -6.55), (2.55, -6.55)

• (-∞, ∞)

• None

Solve the system of equations:

Solve the system of equations using substitution:

Solve by factoring.

x² - 3x - 28 = 0

• x = -4

• x = -2, 8

• x = -4, 7

• x = 6, -7

Solve the system of equations using elimination:

Simplify the following expression:

• 
• 
• 
• 

Expand (x + 2)³

• x³ + 6x² - 12x + 8

• x³ + 6x² + 12x + 8

• x³ - 6x² + 12x - 8

• x³ + 4x² + 12x + 6