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9-12 Integrated Math 2 Unit 5 Lesson 7

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Unit 5, Lesson 7

Rewriting Quadratic Expressions in Factored Form (Part 2)

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Integrated Math 2

Practice

Problem 1

Student Task Statement

Find two numbers that . . .

multiply to -40 and add to -6.
multiply to -40 and add to 6.
multiply to -36 and add to 9.
multiply to -36 and add to -5.

If you get stuck, try listing all the factors of the first number.

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Problem 2

Student Task Statement

Create a diagram to show that is equivalent to .

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Problem 3

Student Task Statement

Write a or a sign in each box so the expressions on each side of the equal sign are equivalent.

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Problem 4

Student Task Statement

Match each quadratic expression in standard form with its equivalent expression in factored form.

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Problem 5

Student Task Statement

Rewrite each expression in factored form. If you get stuck, try drawing a diagram.

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Problem 6

ForLesson 5: How Many Solutions?

Student Task Statement

Which equation has exactly one solution?

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Problem 7

ForLesson 5: How Many Solutions?

Student Task Statement

Elena solves the equation by dividing both sides by to get . She says the solution is 7.

Lin solves the equation by rewriting the equation to get . When she graphs the equation , the -intercepts are and . She says the solutions are 0 and 7.

Do you agree with either of them? Explain or show how you know.

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Lesson 7 Resources

Student Materials