
Algebra 1: Solving Quadratics by Completing the Square

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

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a quadratic equation by completing the square?
Move the constant term to the left side.
Isolate the x-squared and x terms on one side.
Divide the entire equation by the leading coefficient.
Add the square of the linear coefficient to both sides.
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving a quadratic equation by completing the square, what do you do after isolating the x-squared and x terms?
Divide the linear coefficient by the constant term.
Subtract the linear coefficient from both sides.
Multiply the linear coefficient by two.
Find half of the linear coefficient and square it.
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the method of completing the square, why is it important to add the same value to both sides of the equation?
To ensure the equation remains balanced.
To factor the quadratic expression.
To simplify the equation.
To eliminate the constant term.
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key difference when solving quadratic equations with isolated linear terms?
The quadratic term is eliminated.
The linear term is isolated on the left side.
The linear term is moved to the right side.
The constant term is always zero.
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you handle a quadratic equation with an odd linear coefficient when completing the square?
Use decimals instead of fractions.
Convert the coefficient to an even number.
Ignore the odd coefficient.
Work with fractions to complete the square.
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of dividing an odd linear coefficient by two in the process of completing the square?
A fraction or decimal.
A zero.
An integer.
A negative number.
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if the leading coefficient of a quadratic equation is not one?
Subtract the leading coefficient from both sides.
Divide the entire equation by the leading coefficient.
Multiply the entire equation by the leading coefficient.
Add one to the leading coefficient.
Tags
CCSS.HSA-REI.B.4B
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