Solving Quadratic Equations, Factoring and Graphs

Factor and Solve

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Tags

CCSS.HSA-REI.B.4B

Factor and Solve 2x² - 3x - 2 = 0

• x = 1, x = -1

• x = -1/2, x = 2

• x = 1/2, x = 2

• x = 1/2, x = 1

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Tags

CCSS.HSA-REI.B.4B

Solve the following equation using any method. Write your answers as exact values in simplest form.

• A

• B

• C

• D

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

• 
• 
• 
• 

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}

Tags

CCSS.HSA-REI.B.4B

Name the positive solution of 25 = (x – 3)².

Answer explanation

Expand, set equal to 0, then factor again.

Tags

CCSS.HSA-REI.B.4B

• 0.9 s

• 1.9 s

• 3.4 s

• 3.9 s

Answer explanation

Graph the equation and see the time when y = 8

Two functions are shown below. What is the value of x where the graphs of f(x) and g(x) intersect?

• -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