
Understanding Quadratic Equations and Their Solutions

Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Hard
+1
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function given in the problem?
f(x) = x^2 + x
f(x) = x^2 - x
f(x) = x^2 - 2x
f(x) = x^2 + 2x
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f(x) we need to solve for?
f(x) = 0
f(x) = -6
f(x) = 6
f(x) = 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What equation do we get after substituting and simplifying the function?
x^2 + x = 6
x^2 - x = 0
x^2 - x = 6
x^2 + x = 0
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after forming the equation x^2 - x = 6?
Add 6 to both sides
Subtract 6 from both sides
Divide both sides by 6
Multiply both sides by 6
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the factors of the quadratic equation x^2 - x - 6 = 0?
(x - 2)(x + 3)
(x - 3)(x + 2)
(x + 3)(x + 2)
(x - 3)(x - 2)
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the solutions for x after factoring the equation?
x = 2 and x = -3
x = 3 and x = -2
x = -2 and x = 3
x = -3 and x = 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can we verify the solutions graphically?
By plotting the function and checking for intersections with the y-axis
By plotting the function and checking for intersections with the x-axis
By plotting the function and checking for intersections with the line y = 0
By plotting the function and checking for intersections with the line y = 6
Tags
CCSS.8.EE.C.8B
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