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Pre Calc Chapter 2 Review

Authored by Mr. Schrauben

Mathematics

11th - 12th Grade

CCSS covered

Used 130+ times

Pre Calc Chapter 2 Review
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This Pre-Calculus quiz comprehensively covers polynomial functions and algebraic problem-solving techniques appropriate for grades 11-12. The questions assess students' mastery of essential polynomial concepts including finding zeros, factoring, polynomial division (both synthetic and long division), end behavior analysis, and solving polynomial equations and inequalities. Students must demonstrate proficiency with complex numbers, the Rational Root Theorem, multiplicity of zeros, domain restrictions, and graphical interpretation of polynomial functions. The quiz requires students to integrate multiple algebraic skills, moving beyond basic computation to analyze function behavior, interpret graphs, and apply theoretical concepts like the Fundamental Theorem of Algebra. These problems demand solid algebraic manipulation skills, understanding of function notation, and the ability to connect symbolic, numerical, and graphical representations of polynomial functions. Created by Mr. Schrauben, a Mathematics teacher in US who teaches grade 11-12. This comprehensive review quiz serves multiple instructional purposes, functioning effectively as a chapter assessment, homework assignment, or review session before a unit test on polynomial functions. The variety of question types—from direct computation to conceptual analysis—makes it ideal for formative assessment, allowing teachers to identify specific areas where students need additional support before summative evaluation. Students can use this quiz for independent practice and self-assessment, while teachers can assign it as a take-home review or use individual questions as warm-up problems throughout the unit. The quiz aligns with Common Core standards A-APR.2 (knowing and applying the Remainder Theorem), A-APR.3 (identifying zeros and factors of polynomials), F-IF.7c (graphing polynomial functions and identifying key features), and A-REI.11 (solving polynomial equations and inequalities), providing systematic practice with the mathematical practices essential for success in advanced algebra and preparation for calculus.

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25 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

 Solve the equation.

36
18
-18
27

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.A.1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Solve.

no solution
33
61
47

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

±23.25
±5
±25
No real solution

Tags

CCSS.8.EE.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Simplify the expression:

-15 + 8√9
9
2 + 8√3 + 6√6
9 + 14√3

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

if f(x) = x3+8x+24, then find f(-2) using synthetic division.

12
8
0
-6

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find ALL the zeros of the function 
f(x) =  x 2 +2x + 10

-1 + 3i, -1-3i
1 + square root 19, 1- square root 19
2 + 6i , 2 - 6i 
-2+6i, -2-6i

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(x2 + 9x + 18) ÷ (x + 3)

x - 6
x + 6 R(0)
x - 3 + 2/(x + 3)
x + 6

Tags

CCSS.HSA.APR.D.6

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