Factoring Quadratics

Multiple Choice

What is the solution to $$8x-3\left(2x-4\right)=3\left(x-6\right)$$

• $$x\ =\ 6$$

• $$x=30$$

• $$x\ =\ 30$$ $$x\ =\ -\frac{30}{11}$$

Multiple Select

What is the solution to $$x^2=196$$ ? Select TWO correct answers.

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Math Response

Write an equation of a quadratic function that has zeros of –6 and 10.

(Answer must include y=....)

Type answer here

Correct Answer: y=\left(x+6\right)\left(x-10\right)

Deg^°

Rad

Multiple Select

Select the zeroes of the function
y = (x – 2)(x + 3). Select TWO correct answers.

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Open Ended

How can we set (2x + 11)(2x + 17) = 315 equal to zero?

Sentence stem( The equation can be set equal to zero by.....)

Multiple Choice

What are the solutions to the equation?

• $$x=16\ and\ 2\$$

• $$x=-16\ and\ 2\$$

• $$x=16$$

• $$x=2$$

Multiple Choice

Which value of x is the solution to the equation?

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Multiple Select

What are the solutions to the equation $$x^2-5x=6$$ ? Select Two correct answers.

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Multiple Choice

If f(x) = (x – 2)(x – 5), which statement is true?

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Multiple Select

Select the two zeros of the equation 2x2 – 5x – 3 = 0.

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Multiple Choice

Tanisha  is factoring the expression  x2 – 15x + 36. Thus far she has (x – 12)(x + k), where k represents a number. What is the value of k?

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Drag and Drop

For the quadratic function, t(– 2) = 0, and t(8) = 0. What is a possible equation for t in factored form? 

Move the correct answers to each box. Not all answers will be used.


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Drag these tiles and drop them in the correct blank above

Multiple Choice

Which statement about the equation below is true?

$$x^2-8x+15$$

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Multiple Choice

A window washer accidentally drops his keys while on a platform high in the air. The height, in meters, of the keys above the ground t seconds after being dropped is equal to the expression –4.9t2 + 176.4. Which equivalent expression reveals the zeros of this expression?

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Multiple Select

A sports-watch manufacturer wants to introduce a new model. Based on the sales of similar models manufactured earlier, the estimated profit function is modeled as P = –x2 + 250x – 15,000, where x is the price of each watch. According to this scenario, for which prices of the watch would the watch manufacturer break even? Select TWO correct answers.

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