Unit 5, Lesson 9

Solving Quadratic Equations by Using Factored Form

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Integrated Math 2

Practice

Problem 1

Student Task Statement

Find all the solutions to each equation.

Practice

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Problem 2

Student Task Statement

Rewrite each equation in factored form and solve using the zero product property.

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Problem 3

Student Task Statement

Here is how Elena solves the quadratic equation .

Is her work correct? If you think there is an error, explain the error and correct it.

Otherwise, check her solutions by substituting them into the original equation and showing that the equation remains true.

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Problem 4

Student Task Statement

Jada is working on solving a quadratic equation, as shown here.

She thinks that her solution is correct because substituting 5 for in the original expression, , gives , which is , or 0.

Explain the mistake that Jada made, and show the correct solutions.

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Problem 5

ForLesson 4: Solving Quadratic Equations with the Zero Product Property

Student Task Statement

Choose a statement to correctly describe the zero product property.

If and are numbers, and , then:

Both and must equal 0.

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Problem 6

ForLesson 6: Rewriting Quadratic Expressions in Factored Form (Part 1)

Student Task Statement

Which expression is equivalent to ?

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Problem 7

ForLesson 6: Rewriting Quadratic Expressions in Factored Form (Part 1)

Student Task Statement

These quadratic expressions are given in standard form. Rewrite each expression in factored form. If you get stuck, try drawing a diagram.

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Problem 8

ForLesson 4: Comparing Quadratic and Exponential Functions

Student Task Statement

Select all the functions whose output values will eventually overtake the output values of function , defined by .

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Neither nor can equal 0.

Either or .

must equal 0.

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Solving Quadratic Equations by Using Factored Form

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Problem 8

Student Task Statement

Lesson 9 Resources