Solving multi-step problems using quadratic equations in one variable

How many solutions should a quadratic equation have based on its degree?

• 1
• 2
• 3
• 4

What are the solutions? Check all that apply.

• -2

• no solutions

• -6

What are the solutions of the function?

• x = 4

• no solution

• x = -4, x = 1

• x = 3, x = 1

What are the solutions to this parabola?

• (-10, 0), (2, 0)

• (0, 2), (0, 10)

• (-4, -9)

• (-9, -4)

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

In the year 3000, Abigail is navigating through a virtual reality game where she must solve the quadratic equation x^2 + 4x + 4 = 0 to unlock the next dimension. Assist Abigail in finding the solution by simulating the equation in a holographic graph.

• -1

• 0

• 2

• -2

Given the quadratic function f(x) = 2x² + 7x, what are the solutions when f(x) = 15.

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

What are the solutions?

• -.5, 3.5
• 0,6
• -1.5, 4.5

• -1, 4

Use your answer from the previous problem to find the roots for    $y\ =\ x^2+4x+3$  .
(Write your answer down because you need it for the next problem)

•  $\left(-1,0\right)\ and\ \left(-3,0\right)$  

•  $\left(1,\ 0\right)\ and\ \left(-3,0\right)$  

•  $\left(-1,0\right)\ and\ \left(3,0\right)$  

•  $\left(1,0\right)\ and\ \left(3,0\right)$  

• No Solution

• One Solution

• Two Solutions

• Not Possible