Solving Quadratic Equations

Factor x²-6x-40

• (x-10)(x+4)
• (x+10)(x-4)
• (x-8)(x+5)
• (x+8)(x-5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve
x² + 13x + 12 = 0

• x = -12, -1
• x = 12, 1
• x = 13, 1
• x = -13, -1

Tags

CCSS.HSA-REI.B.4B

• ±81
• ±9
• ±3
• No real solution

Tags

CCSS.8.EE.A.2

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

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the equation:
4x²+2x - 6 = 0

• x = 1 & -1.5
• x = -1 & 1.5
• x = (-2 ±√92)/8
• x = (-2 ± √100)/8

Tags

CCSS.HSA-REI.B.4B

What is the vertex of the graph?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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