Solving Quadratic Equations

Tags

CCSS.HSF.IF.A.2

Which choice is the graph of y = (4 – x)(x + 2)?

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Answer explanation

We can find the x-intercepts by setting each factor equal to 0. x = 4 and x = -2 .

Tags

CCSS.HSF-IF.C.7A

• {1, -12}

• {-1, 12}

• {-1, -12}

• {1, 12}

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CCSS.HSA-REI.B.4B

• (-5, 0)

• (-3, -20)

• (2, 35)

• (6, 79)

Answer explanation

Graph the two equations and see where they intersect.

Tags

CCSS.HSA.REI.C.7

• -22

• -5

• 5

• 22

Answer explanation

Solve by graphing, substitution, or elimination. Can also solve by substituting the answers in for x to see which one works in both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• 0, 2

• 2, -4

• -2, 4

• 2, 4

Answer explanation

Solve by factoring and setting each factor equal to 0.

Tags

CCSS.HSA-REI.B.4B

What are the coordinates of the vertex of the graph of y = x² – 2x – 8?

• (1, -8)

• (1, -9)

• (2, -8)

• (1, -7)

Which are solutions to the system of equations? Select all that apply.

Tags

CCSS.HSA.REI.C.7

• 0

• 3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the value of x in the diagram?

Answer explanation

Use Pythagorean Theorem to find x. Set equal to 0, Factor, and Solve.

Tags

CCSS.8.EE.A.2