Completing the Square and the Quadratic Formula

Quiz
•
Mathematics
•
9th - 12th Grade
•
Hard
Mary Beloy
Used 1+ times
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
True
False
Answer explanation
True because completing the square involves transforming the equation into the form x^2 + bx = c before proceeding with the method.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the 1st step in solving a Quadratic Equation using Completing the Square
Divide b by 2
Square root both sides
Make sure the equation equals 0
Get the terms containing the variables on one side of the equation
Answer explanation
Get the terms containing the variables on one side of the equation.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What do you do to the b value to correctly complete the square?
square it
divide it by 2 and square the result
divide it by 2 and take the square root of the result
divide it by 2 only
Answer explanation
To correctly complete the square, you need to divide the b value by 2 and then square the result. This process helps in simplifying the quadratic expression.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the first step to solving THIS equation by completing the square?
x2 + 8x + 9 = 0
Set the equation equal to zero
Divide 8 by 2 and add the result to both sides
Add x2 and 8x together
Subtract 9
Answer explanation
Subtract 9
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Answer explanation
The correct choice is (x+4)^2=7 because completing the square involves halving the coefficient of x, squaring it, and adding/subtracting it to both sides of the equation.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
To solve the equation x^2 + 10x = 39, we first rearrange it to x^2 + 10x - 39 = 0. Then, factor or use the quadratic formula to find x = 3 or x = -13.
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Answer explanation
To solve by completing the square, rewrite the equation as (x-6)^2=16. Then, solve for x to get x={2, 10}.
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