Algebra II Midterm Assessment

| x + 6 | < - 6

• -6 < x < 6
• x < -6 or x > 6
• No solution
• All real solution

3 | d + 1 | - 7 ≥ -1

• No Solution
• All Real Numbers
• d ≤ -3  or  d ≥ 1
• -1 < d < 3

Solve and graph:

• A
• B
• C
• D

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Factor:  x² + 9x + 18

• (x + 3)(x + 6)
• (x - 3)(x - 6)
• (x + 9)(x + 2)
• (x + 3)²

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Solve by factoring:3x² + 5x + 2 = 0  

• x = -2/3 and x = -1
• x = -3/2 and x = -1
• x = 2/3 and x = 1
• x = 2/3 and x = -1

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4