Solving Quadratic Equations
Authored by Caity Armstrong
Mathematics
8th - 12th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on solving quadratic equations using multiple algebraic methods, making it appropriate for high school Algebra 1 or Algebra 2 students, typically grades 9-10. The content systematically covers four primary solution techniques: factoring (including zero product property and factoring trinomials), solving by square roots, applying the quadratic formula, and completing the square. Students need a solid foundation in polynomial operations, factoring techniques, and radical expressions to succeed with these problems. They must understand that quadratic equations can have two solutions, recognize the relationship between zeros and x-intercepts, and demonstrate procedural fluency with each solution method. The quiz also tests conceptual understanding by asking students to identify key terminology and explain steps in the solving process, particularly for completing the square methodology. Created by Caity Armstrong, a Mathematics teacher in the US who teaches grades 8-12. This comprehensive assessment serves multiple instructional purposes, from formative assessment during initial instruction to summative evaluation after students have learned all four solution methods. Teachers can use individual sections as targeted practice for specific techniques, assign the entire quiz as homework to reinforce mixed practice, or implement it as a review tool before unit tests. The variety of question types makes it excellent for identifying which solution methods students have mastered and which require additional instruction. This quiz aligns with Common Core standards A-REI.4 (solving quadratic equations in one variable) and A-APR.3 (identifying zeros of polynomials), providing essential practice for students to develop fluency with multiple algebraic solution strategies that form the foundation for advanced mathematics courses.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What are the solutions to this equation?
(3x-2)(5x+1)=0
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What are the solutions?
Tags
CCSS.HSA.APR.B.3
CCSS.HSA.REI.B.4
CCSS.HSA.REI.D.10
CCSS.HSA.REI.D.11
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is another word that describes the zeroes of a quadratic function?
Tags
CCSS.HSA.APR.B.3
CCSS.HSA.APR.B.2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by factoring:
n² - 2n = 0
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by factoring:
2x2 + 11x - 6 = 0
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by factoring:
x2 - 11x + 19 = -5?
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by square roots (SADMEP)
Tags
CCSS.HSA-REI.B.4B
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