10.6 Solve Equations Using the Quadratic Formula

Warm Up: EOC Review - Solving Equations

EQ: What does the discriminate tell you?

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10.6 Solve Equations Using the Quadratic Formula

Multiple Choice

Solve the following equation for n:
8n = 16

• n=24

• n=32

• n=2

• n=8

Multiple Choice

Solve for x:
8x - 10 = -34

• 4

• 3

• -3

• -24

Multiple Choice

Solve for n:
n+2=-14-n

• 6

• 8

• -8

• -6

Multiple Choice

Solve:
3(x - 2) = 18

• 6.7

• 4

• 8

• -4

Multiple Choice

Solve for w

• -8

• 8

• -32

• 32

Multiple Choice

Simplify:
5(3x+1)

• 15x+1

• 15x+5

• 8x+1

• 8x+6

Multiple Choice

Solve for d:
-7(6 + d) = 49

• 13

• 1

• -1

• -13

Multiple Choice

Solve for p

• 3

• 48

• 16

• 12

Multiple Choice

Solve for x:
8x - 10 = -34

• 4

• 3

• -3

• -24

DONT WRITE THIS DOWN

Solve for x: This is what we are going to learn today. We are going to use the quadratic formula

The solutions/roots of the function

What does the Quadratic Formula tell us?

The Discriminate tells us..

-how many solutions are there?

The Discriminant

​Or No real Solutions

Multiple Choice

If there are no real solutions, the discriminant is

• zero

• a postive number

• a negative number

• a perfect square

Multiple Choice

If there is one solution, the discriminant is . . .

• zero

• a postive number

• a negative number

• a perfect square

Multiple Choice

What is the discriminate of f(x) = 3x² - 5x + 8
and how many solutions does the function have?

• discriminate = -71 and two imaginary solutions

• discriminate = -121 and has two imaginary solutions

• the discriminate = - 71 and has two real solutions

• the disctiminate = -121 and has two real solutions

Multiple Choice

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Multiple Choice

What is the following equation written in standard form (set = 0)?

$$-3x^2+7x\ =\ 9$$  

• $$-3x^2+7x+9=0$$  

• $$-3x^2-2x=0$$  

• $$-3x^2+7x-9=0$$  

• -5x

When to use the Quadratic Formula

Solve using the quadratic formula

Multiple Choice

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.

Multiple Choice

Identify a, b, and c in: x²−6x+14

• 3,5,9

• 1,-6,14

• 1,-6,-14

• 1,6,14

Multiple Choice

Identify the values of A, B, and C

3m² - 14 = 11m

• A=3, B=-11, C=-14

• A=3, B=-14, C=11

• A=3, B=11, C=-14

• A=3, B=-14, C=11

Multiple Choice

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True

• False

Multiple Choice

The discriminate, b² - 4ac would equal what in this equation:

y = 2x² -x -3

• 25

• -23

• -25

• 0

Multiple Choice

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

Multiple Choice

Solve 2x² + 7x - 15 = 0

• -3/2 or 5

• No Solution

• -5 or 3/2

• 0.7 or 5

Multiple Choice

$$b^2-4ac$$  is called the . . .

• Square root

• Quadratic formula

• X-intercepts

• Discriminant 

Multiple Choice

Solve Using the Quadratic Formula

x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

Homework 10.6 Pg 225 #4-7

Pg 226 #26-28

7 total problems