
Solving Quadratic Equations by Completing the Square
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a quadratic function by completing the square?
Multiply the quadratic term by 2
Divide the linear coefficient by 2
Add the constant term to both sides
Subtract the quadratic term from both sides
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After dividing the linear coefficient by 2, what is the next step?
Multiply the result by the quadratic term
Subtract the result from the linear coefficient
Square the result
Add the result to the constant term
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do you do with the squared result when completing the square?
Add it to both sides of the equation
Subtract it from both sides of the equation
Multiply it by the quadratic term
Add and subtract it on the same side of the equation
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of putting parentheses around the first three terms?
To prepare for factoring
To isolate the constant term
To identify the perfect square trinomial
To simplify the equation
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after forming a perfect square trinomial?
Take the square root of both sides
Add the constant term to both sides
Multiply both sides by the linear coefficient
Divide both sides by the quadratic term
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the plus-minus symbol (±) indicate when solving the completed square equation?
The equation has no solution
The equation has two possible solutions
The equation has an infinite number of solutions
The equation has one solution
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving a quadratic function with irrational numbers, what form will the solutions be in?
Decimals
Whole numbers
Simplified radical form
Fractions
Tags
CCSS.HSA-REI.B.4B
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