Quadratics Test

Factor out the GCF:

24x³y⁴+16x²y²

• 2xy(12xy+8xy)

• 2x²y²(12xy²+8)

• 8x²y²(15xy²+2)

• 8x²y²(3xy²+2)

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

x² - 5x - 36

• (x - 4)(x + 9)

• (x - 6)(x + 6)

• (x + 4)(x - 9)

• (x -12)(x + 3)

Factor:

5x² - 13x + 6

• (x - 3)(5x - 2)

• (5x - 3)(x - 2)

• 5(x - 3)(x + 2)

• Not factorable

Factor:

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

Solve by factoring:

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Solve by factoring:

n² + 6n - 27 = 0

• {-3, 10}

• {5, 14}

• {-12, 4}

• {-9, 3}

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:

4x² - 3 = -11x

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground? [Hint: let h = 0 and solve for t]

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds