Copy of ML Amp 5.1 Completing the Square (Part One)
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Grace Smythe
Used 1+ times
FREE Resource
36 Slides • 26 Questions
1
2
3
Multiple Choice
Which of the following is a perfect-square quadratic expression?
x^2 + 6x + 9
x^2 + 5x + 4
x^2 - 4x + 7
x^2 + 2x + 8
4
5
Multiple Choice
Which of the following expressions is equivalent to (x+5)(x+5) when expanded using the distributive property?
x^2 + 10x + 25
x^2 + 25
2x + 10
x^2 + 5
6
7
8
9
Open Ended
In each equation, what expression could be substituted for a so the equation is true for all values of x?
10
11
Fill in the Blanks
A perfect square is a number or expression that can be written as the square of a
Type answer...
12
13
Open Ended
How can you convert the expression 7x·7x into standard form (ax^2 + bx + c)?
14
Multiple Select
Which of the following are equivalent to a perfect square trinomial?
(x+4)(x+4)
x^2 + 8x + 16
(x+4)^2
x^2 + 16
15
16
Fill in the Blanks
Fill in the blank: The standard form of (x - 7)^2 is x^2 -
Type answer...
17
Multiple Choice
Which of the following is the correct standard form of (x + 1)^2?
x^2 + 2x + 1
x^2 + x + 1
x^2 + 1
x^2 + 2x
18
19
Fill in the Blanks
Write an equivalent expression of (x + n)^2 in standard form (ax^2 + bx + c).
Type answer...
20
21
Multiple Select
Which of the following expressions is a perfect square trinomial?
x^2 + 6x + 9
x^2 + 5x + 6
x^2 - 16x + 64
x^2 + 4x + 4
22
Open Ended
Why do you think the following expressions can be described as perfect squares? x^2 + 6x + 9 and x^2 - 16x + 64
23
24
Open Ended
How are the following expressions related in standard form to factored form?
25
26
27
28
Multiple Choice
What are the solutions to the equation (x - 6)^2 = 25 as solved by Noah?
x = 11 or x = 1
x = 6 or x = -6
x = 5 or x = -5
x = 25 or x = -25
29
30
Open Ended
Explain why, when solving (x - 6)^2 = 25, you set x - 6 equal to both 5 and -5.
31
32
Multiple Choice
Which of the following equations can be solved using the same method Noah used for (x - 6)^2 = 25?
(y - 5)^2 = 49
x^2 + 6x + 9 = 0
x^2 - 10x + 25 = 0
x^2 + bx + c = 0
33
34
35
Open Ended
Describe the relationship between the structure of the square diagrams and the factors of the quadratic expressions shown in Activity 3.
36
Multiple Choice
What is the factored form of the expression x^2 + 6x + 9?
(x + 3)^2
(x - 3)^2
(x + 6)^2
(x - 6)^2
37
38
Fill in the Blanks
Complete the blank: The process of finding the constant term to add in order to create a perfect square is called
Type answer...
39
40
Open Ended
Why is this quadratic expression not a perfect square trinomial, even though it contains a perfect square constant?
41
42
43
Open Ended
Compare Diego and Mai's methods for completing the square. What is one similarity and one difference in their approaches?
44
45
Multiple Choice
Which of the following is the correct order of steps for completing the square?
Subtract c from both sides, divide b by 2 and square it, add to both sides, convert to factored form, take square root, split and solve for x
Divide b by 2 and square it, subtract c from both sides, add to both sides, convert to factored form, take square root, split and solve for x
Subtract c from both sides, add to both sides, divide b by 2 and square it, convert to factored form, take square root, split and solve for x
Convert to factored form, subtract c from both sides, divide b by 2 and square it, add to both sides, take square root, split and solve for x
46
47
Multiple Choice
Which of the following quadratic equations can be solved by completing the square?
x^2 + 6x + 8 = 0
x^2 + 12x = 13
0 = x^2 - 10x + 21
All of the above
48
Fill in the Blanks
Fill in the blank: In the equation x^2 + 12x = 13, after subtracting 13 from both sides, the next step in completing the square is to add
Type answer...
49
50
Multiple Select
Which of these quadratic expressions are perfect squares?
x^2 + 4x + 8
x^2 + 24x + 144
x^2 + 6x + 16
x^2 - 40x + 400
51
52
53
54
55
56
57
58
59
60
61
Open Ended
How confident do you feel about recognizing perfect-square quadratic expressions and using the method of completing the square to solve quadratic equations?
62
Fill in the Blanks
What is one method you learned today for solving quadratic equations?
Type answer...
Show answer
Auto Play
Slide 1 / 62
SLIDE
Similar Resources on Wayground
58 questions
Slope, Patterns and Equations
Presentation
•
8th - 9th Grade
60 questions
ÔN TẬP CHƯƠNG 1 GT12
Presentation
•
KG
58 questions
Africa Map 1
Presentation
•
9th Grade
61 questions
12.3 Exponential Functions
Presentation
•
9th Grade
58 questions
Petroski - Physical Science LEAP Review
Presentation
•
8th Grade
55 questions
מציאת נקודות חיתוך ונקודת קודקוד
Presentation
•
9th Grade
55 questions
Linear
Presentation
•
9th Grade
55 questions
Continuity and Linearity
Presentation
•
9th Grade
Popular Resources on Wayground
10 questions
Safety Day 2026 – Student Review
Quiz
•
9th Grade
21 questions
Continents and Oceans
Quiz
•
6th Grade
20 questions
Parts of Speech
Quiz
•
5th Grade
16 questions
Subject & Predicate
Quiz
•
5th Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
12 questions
Map Skills
Quiz
•
3rd Grade
22 questions
Continents and Oceans
Quiz
•
5th Grade
15 questions
Rounding Decimals
Quiz
•
5th Grade
Discover more resources for Mathematics
12 questions
Absolute Value Equations
Quiz
•
9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
11 questions
Slope from 2 points
Quiz
•
8th - 9th Grade
10 questions
Exploring the Basics of Exponents
Interactive video
•
6th - 10th Grade
10 questions
Solving Absolute Value Equations
Quiz
•
9th Grade
18 questions
SB 12.2 Write in point slope form
Quiz
•
9th Grade
12 questions
Identify Rigid Transformations
Quiz
•
8th - 12th Grade
10 questions
Complementary, Supplementary, Vertical, and Linear Pairs
Quiz
•
9th - 12th Grade