CCSS.Math.Content.HSA.REI.B.4

Determine the value of the discriminant and name the nature of the solution for the following:
x² + 2x - 63
Remember:  b² - 4ac

• 256 - 2 reals - Rational
• √(-256 - 2 imaginary solutions
• √(137) - 2 reals - Irrational
• 123 - 2 reals - Rational

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CCSS.Math.Content.HSA.REI.B.4

Solve the equation using the quadratic formula.

• A
• B
• C
• D

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CCSS.Math.Content.HSA.REI.B.4

(x + 10)(x - 2)
is the factorization of which quadratic?

• x² + 8x -20
• x² - 8x -20
• x² + 12x -20
• x² - 12x -20

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CCSS.Math.Content.HSA.REI.B.4

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

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CCSS.Math.Content.HSA.REI.B.4

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

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CCSS.Math.Content.HSA.REI.B.4

If the discriminant is negative, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• 2 Imaginary Solutions

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CCSS.Math.Content.HSA.REI.B.4

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

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CCSS.Math.Content.HSA.REI.B.4

Factor completely.

x² - 12x + 27

• ( x + 3 ) ( x - 9 )

• ( x - 3 ) ( x - 9 )

• ( x - 3 ) ( x + 9 )

• ( x + 3 ) ( x + 9 )

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CCSS.Math.Content.HSA.REI.B.4

Solve:

• 4

• 6

• -2

• 5

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CCSS.Math.Content.HSA.REI.B.4

Which answer choice correctly shows the quadratic equation above in factored form?

• (x + 7)(x - 2) = 0

• (x - 7)(x + 2) = 0

• (x - 7)(x - 2) = 0

• (x + 7)(x + 2) = 0

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CCSS.Math.Content.HSA.REI.B.4