Lesson 4 How Many Solutions?

Lesson 4 How Many Solutions?

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Multiple Choice

Write the quadratic equation in standard form.

 $3x^2=81.$  

•  $y=3x^2+81$  

•  $y=81-3x^2$  

•  $y=3x^2-81$  

•  $y=3x\left(x+27\right)$  

Multiple Choice

Write the equation in standard form.

 $\left(x-1\right)\left(x+1\right)-9=5x$  

•  $y=x^2-1-9-5x$  

•  $y=x^2-10-5x$  

•  $y=\left(x-1\right)\left(x+1\right)-9-5x$  

•  $y=x^2-5x-10$  

Multiple Choice

Write in standard form.

 $6x\left(x-8\right)=29$  

•  $y=6x^2-48x-29$  

•  $y=6x^2-48x+29$  

•  $y=6x\left(x-8\right)-29$  

•  $y=6x\left(x-8\right)+29$  

Open Ended

Mai is solving the equation (x−5)^2=0. She writes that the solutions are x=5 and x=-5. Han looks at her work and disagrees. He says that only x=5 is a solution. Who do you agree with? Explain your reasoning.

Open Ended

Find the decay rate for both lakes. For which algae population is the area decreasing more rapidly. Explain how you know.

Multiple Choice

If the equation (x−4)(x+6)=0 is true, which is also true according to the zero product property?

• only x−4=0

• only x+6=0

• x−4=0 or x+6=0

• x=-4 or x=6

Multiple Choice

Does the equation have 0, 1, or 2 solutions?

 $x^2-144=0$  

• 0 solutions

• 1 solution

• 2 solutions

Multiple Choice

Does the equation have 0, 1, or 2 solutions?

 $x^2+144=0$  

• 0 solutions

• 1 solution

• 2 solutions

Multiple Choice

Does the equation have 0, 1 or 2 solutions?

x(x-5)=0

• 0 solutions

• 1 solution

• 2 solutions

Multiple Choice

Does the equation have 0, 1, or 2 solutions?

 $\left(x-8\right)^2=0.$  

• 0 solutions

• 1 solution

• 2 solutions

Multiple Choice

Does the equation have 0, 1, or two solutions?

(x+3)(x+7)=0

• 0 solutions

• 1 solution

• 2 solutions