Quiz about Solving Quadratic Equations

Question 1

What are the solutions to the equation $$4x^2-52x+169=121$$ ?

Accepted Answer

{1, 12}

Answer

{1, -12}

Answer

{-1, 12}

Answer

{-1, -12}

Question 2

Two functions are shown below. Select the points at which the two functions intersect. $$f\left(x\right)=3x^2+14x-5$$

$$g\left(x\right)=11x+13$$

Accepted Answer

(-3, -20)

Accepted Answer

(2, 35)

Answer

(-5, 0)

Answer

(6, 79)

Question 3

Two functions are shown below. What is the value of x where the graphs of f(x) and g(x) intersect?

$$f\left(x\right)=3x+7$$

$$g\left(x\right)=2x+12$$

Accepted Answer

5

Answer

-22

Answer

-5

Answer

22

Question 4

Which choice includes all of the solutions to $$x^2+2x-8=0$$ ?

Accepted Answer

2, -4

Answer

0, 2

Answer

-2, 4

Answer

2, 4

Question 5

Which are solutions to the system of equations? Select all that apply.

Accepted Answer

$$\left(\frac{1}{2},2\right)$$

Accepted Answer

$$\left(-\frac{1}{2},\ -2\right)$$

Answer

$$\left(-\frac{1}{4},\ -1\right)$$

Answer

$$\left(\frac{1}{4},\ 1\right)$$

Question 6

Which are the solutions of $$3x^2-2x-5=0$$ by factoring?

Accepted Answer

$$-1,\frac{5}{3}$$

Answer

$$-5,\frac{1}{3}$$

Answer

$$-1,-\frac{5}{3}$$

Answer

$$5,\frac{1}{3}$$

Question 7

The profit from a business is described by the function $$P(x)=-x^2+10x-4$$ , where x is the number of items made, in thousands, and P(x) is the profit in dollars. How many items will maximize the profit?

Accepted Answer

5,000

Answer

10,000

Answer

20,000

Answer

50,000

Question 8

Which of the following are factors of $$x^4-16$$ ? Select all that apply.

Accepted Answer

$$x^2+4$$

Accepted Answer

$$x+2$$

Answer

$$x^2-8$$

Answer

$$x^2-2$$

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