
Completing the Square Quiz
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is completing the square a useful technique in algebra?
It helps in solving linear equations.
It is only useful for factoring polynomials.
It simplifies the process of graphing quadratics.
It is used to solve cubic equations.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertex form of a quadratic equation?
Y = a(x + p)^2 - q
Y = ax^3 + bx^2 + cx + d
Y = a(x - p)^2 + q
Y = ax^2 + bx + c
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the vertex form Y = a(x - p)^2 + q, what do p and q represent?
The coordinates of the vertex
The roots of the quadratic equation
The y-intercept and slope of the line
The x-intercepts of the parabola
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in expanding a binomial like (x + 3)^2?
Use the distributive property
Multiply x by 3
Square each term separately
Add 3 to x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the constant term to add when completing the square for x^2 + 6x?
Subtract 6
Add 6
Square the coefficient of x
Take half of the coefficient of x and square it
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When converting x^2 + 6x + 11 to vertex form, what is the perfect square trinomial?
x^2 + 6x + 3
x^2 + 6x + 11
x^2 + 6x + 16
x^2 + 6x + 9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do you add and subtract the same number when completing the square?
To find the roots
To keep the equation balanced
To simplify the equation
To change the equation
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