PreCalculus Assessment 2.1 - 2.4
Authored by Shannon McCartha
Mathematics
10th - 12th Grade
CCSS covered
Used 48+ times
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About
This quiz covers quadratic and polynomial functions, targeting the core concepts typically taught in PreCalculus at the 11th-12th grade level. Students need a strong foundation in multiple forms of quadratic equations (standard, vertex, and factored forms), transformations of functions, and the ability to convert between these forms through algebraic manipulation. The assessment progresses from quadratic-specific topics including vertex identification, transformations, and finding zeros, to broader polynomial concepts such as degree analysis, leading coefficient behavior, multiplicity of zeros, and polynomial division. Students must also demonstrate proficiency with complex number operations and understand the relationship between a polynomial's algebraic form and its graphical representation. The quiz requires students to analyze end behavior, interpret graphs to determine equations, work with factored forms, and apply the Fundamental Theorem of Algebra to determine the number of zeros and turning points. Created by Shannon McCartha, a Mathematics teacher in Vietnam who teaches grades 10-12. This comprehensive assessment serves as an excellent tool for evaluating student mastery of essential PreCalculus topics spanning chapters 2.1 through 2.4, making it ideal for unit testing or comprehensive review. Teachers can deploy this quiz as a formative assessment to identify areas needing reinforcement before moving to more advanced polynomial topics, or as a summative evaluation following instruction on quadratic and polynomial functions. The varied question types, from conceptual understanding to computational skills and graphical analysis, make it versatile for homework assignments, in-class practice, or preparation for standardized assessments. This assessment aligns with Common Core standards A-SSE.3 (factoring and completing the square), A-APR.2 (Remainder Theorem), A-APR.3 (identifying zeros and factors), F-IF.4 (interpreting key features of graphs), F-IF.7 (graphing functions), and F-BF.3 (transformations of functions), providing comprehensive coverage of polynomial function standards essential for college preparatory mathematics.
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30 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which is the standard form for quadratic functions?
y = a(x - h)2 + k
y = (x + a)(x + b)
y = ax2 + bx + c
y = x2
Tags
CCSS.HSA.SSE.A.2
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which is the vertex form for quadratic functions?
y = a(x - h)2 + k
y = (x + a)(x + b)
y = ax2 + bx + c
y = x2
Tags
CCSS.HSA.SSE.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the equation for a basic quadratic that has been shifted up 7 and left four?
y = (x - 4)2 + 7
y = (x + 7)2 - 4
y = (x + 4)2 - 7
y = (x + 4)2 + 7
y = (x - 7)2 + 4
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.CED.A.1
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Give the transformations, in order, for y = -(3x - 8)2 + 4
flip over x, horizontal compression, right 8, up 4
up 4, right 8, horizontal compression, flip over x
horizontal compression, right 8, flip over x, up 4
vertical compression, right 8, flip over x, up 4
flip over x, vertical stretch, right 8, up 4
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the vertex of y = 9(x - 1)2 + 7
(9, 1)
(-1, 7)
(1, 7)
(-1, -7)
(9, 7)
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert to vertex form.
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What are the zeros of x2-9x+14
2, 7
-2, -7
2, -7
-2, 7
Tags
CCSS.HSA-REI.B.4B
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