Solve Quadratics in Standard Form

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3

• (x+3)(x+3); x=-3

• (x+4)(x+2); x=-4, -2

• Not factorable

Tags

CCSS.HSA-REI.B.4B

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10

• (x+4)(x+5); x=-5, -4

• (x-4)(x-5); x=4, 5

• Not factorable

Tags

CCSS.HSA-REI.B.4B

Solve      3x² - 192 = 0

• -32 or 32

• No Solution

• -8 or 8

• -64 or 64

Tags

CCSS.8.EE.A.2

Identify the a, b and c values for this equation:
3x² - 8x + 15 = 0

• a=3, b=8, c=0

• a=3, b=-8, c=15

• a=3, b=8, c=15

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Tags

CCSS.HSA-REI.B.4B

The solutions of the quadratic equation

x²+12x+35=0 are (hint: find the zeros) FACTOR

• x = -5 or x = -7

• x = 5 or x = 7

• x = -35 or x = -1

• x = -9 or x = -4

Tags

CCSS.HSA-REI.B.4B