PreCal Unit 8 Test Exponential & Logarithmic Functions Test
11th - 12th Grade
•25 Qs
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PreCal Unit 8 Test Exponential & Logarithmic Functions Test
Quiz
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Easy
+14
Standards-aligned
Yolanda Lanier
Used 51+ times
FREE Resource
About this resource
This quiz focuses on exponential and logarithmic functions, which represents a core unit in Precalculus typically taught at the 11th and 12th grade levels. The questions comprehensively assess students' understanding of the fundamental relationship between exponentials and logarithms as inverse functions, requiring mastery of algebraic manipulation techniques for solving exponential equations, converting between exponential and logarithmic forms, and applying logarithmic properties such as the product, quotient, and power rules. Students must demonstrate proficiency in evaluating logarithms, understanding domain restrictions (such as why log(-1) is undefined), and applying these mathematical concepts to real-world scenarios involving exponential growth and decay models, compound interest calculations, and continuous compounding situations. Created by Yolanda Lanier, a Mathematics teacher in the US who teaches grades 11 and 12. This comprehensive assessment serves as an excellent summative evaluation tool for students completing their study of exponential and logarithmic functions in Precalculus. The quiz can be effectively used as a unit test to measure student mastery before moving to subsequent topics, or adapted for review sessions and targeted practice on specific concepts like logarithmic properties or exponential modeling. Teachers can also utilize individual sections for formative assessment purposes or as homework assignments to reinforce particular skills. The content aligns with Common Core standards F-LE.4 (expressing exponential models in logarithmic form), F-BF.5 (understanding inverse relationships), and A-SSE.3c (using properties of exponents and logarithms), providing students with the mathematical foundation necessary for success in calculus and advanced mathematics courses.
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25 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for n:
23n = 4
Tags
CCSS.HSF.BF.B.5
CCSS.HSF.LE.A.1
CCSS.HSF.LE.A.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for x:
2x+6=25
Tags
CCSS.HSA.CED.A.1
CCSS.HSA.REI.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve: 98-x = 27x-3
Tags
CCSS.HSA.CED.A.1
CCSS.HSF.BF.B.5
CCSS.HSF.LE.A.4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Change to Exponential Form:
log636 = 2
Tags
CCSS.HSF.BF.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write logb(x/y) as two logs
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSF.IF.C.8
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve the following for 'x';
log6(3x - 2) = log6(5x - 8)
x = 3
x = 2
x = -1
No Solution
Tags
CCSS.HSA.REI.A.1
CCSS.HSA.REI.A.2
CCSS.HSA.REI.B.3
CCSS.HSF.BF.B.5
CCSS.HSF.LE.A.4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use multiple log properties to write as a sum or difference of two logs: log(4x3)
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSF.IF.C.8
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