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Quadratic formula

Quadratic formula

Assessment

Presentation

Mathematics

8th - 12th Grade

Practice Problem

Medium

CCSS
6.EE.A.2C, HSA-REI.B.4B

Standards-aligned

Created by

Donelle Yolinga

Used 17+ times

FREE Resource

7 Slides • 3 Questions

1

Quadratic formula

by Donelle imbolo

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2

What is a quadratic formula

  • A quadratic formula is a formula that provides a solution to an quadratic equation

  • A quadratic equation is an equation that can be rearranged in standard form as ax^2+bx+c

3

How to find your A,B,C

  • A usually has the X term and and exponent

  • B usually just has an x term

  • C has no x term and no exponent

4

Solving Quadratic equations

*remember the standard form is always equal to 0!!!

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5

EX: -2x^2+9x-29=-6

-since -29 and -6 are the same term turn the -6 into a positive 6 and add

- -2 is your A, 9 is your b, -23 is your C

-plug it in to the equation -(9)+ / (9)^2 -4(-2)(-23) over 2(-2)

- solve it -9+/-103 over -4

- -193 does not have a square root so leave it the way

- your answer is -9+/-103 over -4


6

Ex= -4z^2+13z-3=0

  • A= -4 B= 13 C= -3

  • -(13)+ /(13)^2 -4(-4)(-3) over 2(-4)

  • -13+/121 over -8

  • Square of 121 is 11

  • -13+ 11/ -8 becomes 2/8, 24/8

  • Answer: 1/4 or .25 And 3

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7

EX. -y^2+8y-0

  • Y is the number 1 so -1 is a, 8 is our B, and -0 is our

  • So the equation is -(8)+/(8)^2 -4(-1)(-0) over 2(-1)

  • Solve it -8+/64 over -2

  • The square of 64 is 8 so the equation is -8+8 over -2 and -8-8 over -2

  • After you simplify the answer is 0, 8


8

Multiple Choice

when your finding A it has ...

1

just the X term

2

The X term and a exponent

3

It’s just the number by itself

9

Multiple Choice

If m^2+6m = -8 is the problem at hand, what is the first step🤔🤔

1

add -8 into the problem as +8

2

plug in your numbers

3

Find A,B,C

4

Simplify radicals

10

Multiple Choice

If 3u^2-5u-2 is your problem, first you

1

Find A,B,C

2

Switch the 5 and the 2

3

ask your teacher for the answer

4

run to the corner of the room and cry

Quadratic formula

by Donelle imbolo

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