Precalculus Midterm
Authored by Amy Burdyn
Mathematics
9th Grade - University
CCSS covered
Used 238+ times
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About
This Precalculus Midterm assesses fundamental polynomial and rational function concepts appropriate for grades 11-12. The quiz comprehensively covers function evaluation, transformations, polynomial zeros and their multiplicities, factored forms, even and odd functions, rational function asymptotes, function composition, and complex zeros. Students must demonstrate mastery of algebraic manipulation, understanding of polynomial behavior, rational root theorem application, and the ability to analyze rational functions systematically. The questions require students to connect algebraic representations with graphical interpretations, evaluate composite functions, apply the conjugate root theorem for polynomials with real coefficients, and identify key features of rational functions including vertical and horizontal asymptotes. These skills represent the essential foundation students need before advancing to calculus, particularly in understanding function behavior and polynomial theory. Created by Amy Burdyn, a Mathematics teacher in US who teaches grade 9-13. This assessment serves as an excellent comprehensive review tool that can effectively gauge student readiness for advanced mathematical concepts. Teachers can utilize this quiz for formal midterm assessment, targeted review sessions focusing on polynomial and rational function mastery, or as a diagnostic tool to identify specific areas requiring remediation before moving to limits and derivatives. The variety of question types makes it ideal for formative assessment, allowing educators to pinpoint whether students struggle with computational skills, conceptual understanding, or the connection between algebraic and graphical representations. This quiz aligns with Common Core standards A-APR.2, A-APR.3, F-IF.7, F-BF.1, and F-IF.4, ensuring students develop the analytical skills necessary for success in calculus and higher-level mathematics courses.
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19 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find f(4) when f(x) = x2+5x-1
12
35
-35
24
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Write the equation of a function that has the given characteristics: the graph of y=x2, shifted 6 units upward
y=x+6
y=x2-6
y=x2+6
y=(x2+6)+6
Tags
CCSS.HSF.BF.B.3
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Evaluate f(2)
Tags
CCSS.HSF.IF.A.2
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
This graph is _______ in the highlighted areas.
Decreasing
Increasing
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Given x=5, x =3/2, and x= 5/3...
which of the following is the correct factored form?
Tags
CCSS.HSA.APR.B.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
f(x)= x2(x – 2)3(x – 7)
Find and select each real zero and its multiplicity
Tags
CCSS.HSF-IF.C.7C
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)
Tags
CCSS.HSF-IF.C.7C
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