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3.3 Solving Quadratics by Using the Zero Product Property (Due 11/13/2025)

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14 questions
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A.SSE.1.a
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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 11/13/25

Review: Solving Equations

Question 1
1.
Solve
g + 5 = 0
_______
Question 2
2.
Solve
9y - 27 = 0
_______
Question 3
3.
What are two factors of -64 that combine (add or subtract) to equal 0?

_______ and _______

Solving Quadratics by Factoring

Question 4
4.
Use the following expression to evaluate:

(5x+4)(2x-6)

Evaluate for x = 3
_______
Evaluate for x = -4/5
_______
Question 5
5.

Evaluate for x = -3



How to solve quadratic equations by factoring.


Question 6
6.
Solve the following Quadratic function:

x(8x + 3) = 0

x=_______ and x=_______
Question 7
7.
Solve the following Quadratic function:

(x - 7)(x + 7) = 0 (smaller solution first)

x=_______ and x=_______
Question 8
8.
Solve for x:
v=_______ and v=_______
Question 9
9.
Solve for w


(smaller solution first)
w=_______ and w=_______
Question 10
10.
Solve the following Quadratic function:

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

(smaller solution first)
x=_______ and x=_______
Question 11
11.

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


Question 12
12.

Solve using the Zero Product Property:

The height of a football after it has been kicked from the top of a hill can be modeled by the equation h = 2 (-2 -4t) (2t - 5) , where h is the height of the football in feet and t is the time in seconds. How long is the football in the air?

Question 13
13.

Solve using the Zero Product Property:

The depth of a scuba diver can be modeled by the equation d = 0.5t(3.5t - 28.25) , where d is the depth in meters of the diver and t is the time in minutes. Find the time it takes for the diver to reach the surface. Give your answer to the nearest minute.

Question 14
14.

Solve using the Zero Product Property:

The height of a flare fired from a platform can be modeled by the equation
h=8t( -2t + 10)+4(-2t + 10), where h is the height of the flare in feet and t is the time in seconds. Find the time it takes for the flare to reach the ground.