Lesson 3 Solving Equations with the Zero Product Property

Lesson 3 Solving Equations with the Zero Product Property

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Multiple Choice

If the equation (x+10)x=0 is true, which statement is also true according to the zero product property?

• only x=0

• either x=0 or x+10=0

• either 10x=0 or

  $x^2=0$

• only x+10=0

Multiple Choice

What are the solutions to the equation (10−x)(3x−9)=0?

• -10 and 3

• -10 and 9

• 10 and 3

• 10 and 9

Multiple Choice

 $3x^2-18x+24$  and (x-4)(3x-6) are two quadratic expression.  Are they equivalent.  Use distribution or an area model to decide.

• Yes

• No

Open Ended

Kiran saw that if the equation (x+2)(x−4)=0 is true, then, by the zero product property, either x+2 is 0 or x−4 is 0. He then reasoned that, if (x+2)(x−4)=72 is true, then either x+2 is equal to 72 or x−6 is equal to 72.

Explain why Kiran’s conclusion is incorrect.

Multiple Select

 $7x^2=343.$  

Select all the solutions to the equation

• 49

• 7

• -7

•  $\sqrt{49}$  

•  $-\sqrt{49}$