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

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Complete the Square and write in Vertex Form:
f(x) = x² + 6x + 5

• (x + 3)² - 4
• (x + 6)² - 4
• (x + 3x)² - 4
• (x + 3)² + 9

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

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

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

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Tags

CCSS.HSA-REI.B.4B