Solving Quadratic Equations by Factoring
Authored by Margo Livermore
Mathematics
9th - 12th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on solving quadratic equations through factoring, a fundamental algebraic skill appropriate for high school students in grades 9-12. The content systematically builds students' understanding of the factoring process, beginning with standard form quadratic equations that factor into binomials, progressing through equations that require rearrangement to standard form, and incorporating applications of the Zero Product Property. Students need mastery of integer operations, factoring techniques for trinomials and special cases, and understanding of how to find factor pairs that satisfy specific sum and product conditions. The problems require students to recognize when equations are already in factored form versus when they need to manipulate the equation first, identify the most appropriate solving strategy, and apply the Zero Product Property to find solution sets. Created by Margo Livermore, a Mathematics teacher in US who teaches grade 9-12. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student understanding of factoring techniques before moving to more complex solving methods like completing the square or the quadratic formula. The variety of question types makes it versatile for classroom warmups to activate prior knowledge, guided practice during instruction, or homework assignments to reinforce newly taught concepts. Teachers can use individual questions for quick checks during lessons or assign the entire quiz as a comprehensive review before summative assessments. The quiz effectively addresses Common Core standards A-REI.4 (solving quadratic equations in one variable) and A-SSE.3 (factoring quadratic expressions), providing students with essential practice in recognizing factorable forms and applying appropriate solution strategies.
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11 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve by factoring: x2 - 9x + 20 = 0
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve by factoring: x2 + 3x - 18 = 0
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve for the values of x:
(x + 2)(x - 3) = 0
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve
x2 + 2x - 20 = 4
x = -6, x = 4
x = 6, x = -4
x = 12, x = -2
x = 8, x = -3
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property would you use to solve the following?
(x-3)(x+2)=0
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do first in solving this equation?
x2 + 6x - 13 = 3
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve using Zero-Product Property.
(2x - 2)(5x + 5) = 0
x = -1
x = -1 or x = 1
x = 1
x = -2 or x = 5
Tags
CCSS.HSA-REI.B.4B
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