Recap: Solving Quadratic Equations-All Methods

Presentation

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Mathematics

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9th - 12th Grade

•

Practice Problem

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Easy

•

CCSS

HSA-REI.B.4B

Standards-aligned

Yoslaine Valdes

Used 65+ times

FREE Resource

7 Slides • 13 Questions

Recap: Solving Quadratic Equations-All Methods

By Factoring (all terms are present)

trinomial is factorable
set equal to 0 before solving
take GCF out (if there is a GCF)
find factors using
$a\cdot c$
set each factor equal to 0 and solve

Open Ended

Solve the quadratic equations by factoring:

3n^2+24n=-21

Type response here

Open Ended

Solve the quadratic equations by factoring:

x^2=-10x-16

Type response here

Open Ended

Solve the quadratic equations by factoring:

x^2=-10x-16

Type response here

By Factoring (perfect square trinomial)

do not set equation equal to 0
factor the trinomial
take the square root of both sides
solve for x

Open Ended

Solve the quadratic equation by factoring:

4x^2+12x+9=81

Type response here

By Factoring (c value is missing)

set equation equal to 0
take out GCF
set both factors equal 0
solve for x

Open Ended

Solve the quadratic equation by factoring:

3x^2=5x

Type response here

By Taking Square Roots (b value is missing)

do not set equal to 0
isolate the square term
divide by the coefficient of x², if any
take square root of both sides
solve for x

Open Ended

Solve by taking square roots:

2x^2-6=30

Type response here

Solve by Completing the Square

can be used with any quadratic trinomial
set equation equal to the c value
complete the square using (b/2)²
factor the trinomial
take the square root of both sides
solve for x

Open Ended

Find the value of c that completes the square:

x^2-16x\ ...

Type response here

Open Ended

Solve by completing the square:

x^2-10x+3=0

Type response here

Open Ended

Solve by completing the square:

x^2+17x+44=x+4

Type response here

Open Ended

Write the equation in vertex form:

y=x^2+10x+9

Type response here

Solve using the Quadratic Formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

set up equation in standard form
substitute a, b and c values into the formula
solve for x

Open Ended

Solve using the Quadratic Formula:

$2x^2-4x=-7$

Type response here

Open Ended

Determine the value of the discriminant, and the number and type of solutions:

4x^2-8x=3

Type response here

Open Ended

Determine the value of the discriminant, and the number and type of solutions:

x^2-8x+16=0

Type response here

Recap: Solving Quadratic Equations-All Methods

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