Algebra 2 Boot Camp Quiz Review

Which of the following is a difference of perfect squares?

• x² - 18

• 4x² + 36

• 9x² - 100

• x² + 4

Solve by factoring:

x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

What are the factors of

25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

Solve by taking square roots:

a² + 9 = 9

• no solution

• a = 0

• a = 3 or -3

• a = 18

Factor completely:

3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor completely:

k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Solve by factoring:

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Factor completely:

2x²+22x+60

• (2x+10)(x+6)

• (x+5)(x+6)

• 2(x+1)(x+30)

• 2(x+5)(x+6)

Factor completely:

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)

Solve using the Quadratic Formula:

x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4