
Algebra 1: Solving Quadratics by Completing the Square

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

Mia Campbell
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 using inverse operations?
Add a constant to both sides
Take the square root of both sides
Square both sides
Isolate the variable
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't we use inverses to solve the equation x^2 + 4x - 21 = 0?
Because the equation has a negative constant
Because the equation has no real solutions
Because x appears more than once
Because the equation is not in standard form
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the coefficients b and c in a perfect square trinomial?
c is b divided by 2 and then squared
c is the square of b
c is half of b
c is twice b
Tags
CCSS.HSA.APR.C.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the trinomial x^2 + 20x + 100, what is the value of c?
100
200
20
10
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the algorithm for completing the square?
Subtract the constant term from both sides
Find half the value of the linear coefficient
Add the linear coefficient to both sides
Square the linear coefficient
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation x^2 + 6x - 16 = 0, what value should be added to both sides to complete the square?
6
9
16
25
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After completing the square, what form does the equation x^2 + 6x + 9 = 25 take?
(x + 3)^2 = 25
(x + 6)^2 = 25
(x + 5)^2 = 25
(x + 9)^2 = 25
Tags
CCSS.HSA-REI.B.4B
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