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3.5 Solving Quadratics by Factoring (Due 12/4/24)

Last updated 12 months ago
25 questions

Essential Question: How do we solve quadratic equations by factoring them?


Learning Target: Students will use knowledge of factoring to solve quadratic equations that model real-world equations.


Show work and use complete sentences for credit.

Day 1 12/3/24

Review: Solving Equations

Required
5
Solve

4m + 3 = 27

_______
Required
5
Solve
g + 5 = 0
_______
Required
5
Solve
9y - 27 = 0
_______
Required
10
What are two factors of 35 that combine (add or subtract) to equal 12?

_______ and _______
Required
10
What are two factors of -64 that combine (add or subtract) to equal 0?

_______ and _______

Solving Quadratics by Factoring

Required
5

Evaluate for x = -3



Required
5

Evaluate for x = 3



Required
10

When two factors equal 0 what does that tell you about the factors?

How to solve quadratic equations by factoring.


Required
10
Solve the following Quadratic function:

x(8x + 3) = 0

x=_______ and x=_______
Required
10
Solve for x:
v=_______ and v=_______
Required
10
Solve the following Quadratic function:

(x - 7)(x + 7) = 0

x=_______ and x=_______
Required
10
Solve for w


w=_______ and w=_______
Required
10
Solve the following Quadratic function:

(2x + 3)(x + 1) = 0

x=_______ and x=_______

How to use "box method" to factor quadratics.


Required
10
Solve this standard form quadratic expression.



x=_______ and x=_______
Required
10
Solve this standard form quadratic expression.


x=_______ and x=_______
10
Solve this standard form quadratic expression.



x=_______ and x=_______
Required
10
Solve this standard form quadratic expression.


x=_______ and x=_______
Required
10
Solve this standard form quadratic expression.


x=_______ and x=_______
10
Solve this standard form quadratic expression.




x= _______ and x=_______
Required
10
Solve this standard form quadratic expression.



x=_______ and x=_______


Required
10
Solve this standard form quadratic expression.



x=_______ and x=_______
Required
10
Solve this standard form quadratic expression.



x=_______ and x=_______
Required
10
Solve this standard form quadratic expression.


x=_______ and x=_______
Required
20
length= _______
width=_______
Required
20
The width of a rectangle is six meters less than its length. If the area of the rectangle is 112 m², find the dimensions of the rectangle.


length=_______
width=_______