Completing the Square
9th - 12th Grade
•14 Qs
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Completing the Square
Quiz
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
K Shively
Used 4K+ times
FREE Resource
About this resource
This quiz focuses on completing the square, a fundamental algebraic technique used to transform quadratic expressions and solve quadratic equations. Designed for grades 9-12, the content progresses systematically from basic pattern recognition to complex problem-solving applications. Students need a solid understanding of perfect square trinomials, the relationship between (a + b)² = a² + 2ab + b², and the ability to manipulate algebraic expressions. The quiz requires students to identify the constant term needed to complete a perfect square trinomial by taking half the coefficient of the linear term and squaring it. Advanced questions demand proficiency in solving quadratic equations by completing the square, working with equations that don't readily factor, and expressing solutions in exact form using radicals. Students must demonstrate fluency with algebraic manipulation, including moving terms between sides of equations and simplifying expressions containing square roots. Created by K Shively, a Mathematics teacher in US who teaches grade 9-12. This quiz serves as an excellent formative assessment tool to gauge student understanding before moving on to more complex applications of quadratic functions. Teachers can deploy this as a warm-up activity to activate prior knowledge, assign it for homework to reinforce classroom instruction, or use it as a review before summative assessments. The progression from straightforward completion problems to equation-solving applications makes it ideal for differentiated instruction, allowing teachers to identify which students have mastered the mechanical aspects versus those ready for higher-order problem solving. This assessment directly supports Common Core standards A-REI.4.b (solving quadratic equations by completing the square) and A-SSE.3.b (completing the square in quadratic functions to reveal properties), providing teachers with clear evidence of student progress toward these essential algebra standards.
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14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Complete the square.
x2 + 6x + ____
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Complete the Square
x2 + 6x = 5
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Complete the square for
x2 + 12x + ____
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Complete the square.
x2 + 14x + ____
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Complete the Square
x2 + 10x + ____
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is one of the solutions to this equation?
(2x - 1)2 = 49
Tags
CCSS.8.EE.A.2
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