Logarithms Practice
Authored by Grady Bagwell
Mathematics
11th Grade
CCSS covered
Used 456+ times
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About
This quiz comprehensively covers logarithmic and exponential functions, which are fundamental topics in Algebra 2 at the 11th-grade level. Students need a solid understanding of logarithm properties, including the product rule (log_a(m) + log_a(n) = log_a(mn)) and quotient rule (log_a(m) - log_a(n) = log_a(m/n)), as well as the ability to convert between logarithmic and exponential forms. The core concepts assessed include evaluating logarithmic expressions, solving logarithmic and exponential equations, identifying common and natural logarithms, analyzing exponential growth and decay models, and interpreting graphs of exponential functions. Students must demonstrate proficiency in algebraic manipulation, understanding of inverse relationships between exponential and logarithmic functions, and the ability to model real-world scenarios using exponential equations. The complexity of solving equations like log(x) + log(x+3) = 1 and interpreting word problems about population growth or decay requires strong algebraic reasoning and conceptual understanding of exponential behavior. Created by Grady Bagwell, a Mathematics teacher in the US who teaches grade 11. This comprehensive assessment serves multiple instructional purposes throughout a unit on exponential and logarithmic functions. Teachers can deploy individual sections as warmup problems to activate prior knowledge of exponent rules, use the conversion problems between logarithmic and exponential forms for targeted practice during instruction, or assign the entire quiz as homework to reinforce lesson concepts. The variety of question types makes this particularly effective for formative assessment, allowing teachers to identify specific areas where students struggle, whether with logarithm properties, equation solving, or real-world applications. This quiz directly supports standards A-SSE.3.c (expressing exponential models in equivalent forms), F-LE.4 (expressing exponential and logarithmic functions), and F-BF.5 (understanding inverse relationships), making it an invaluable tool for preparing students for summative assessments and building the foundation for advanced mathematics courses.
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30 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write as one logarithm. Simplify, if possible.
log39 + log327
Tags
CCSS.HSF.BF.B.5
CCSS.HSA.SSE.B.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write as one logarithm. Simplify, if possible.
log2800 - log2100
Tags
CCSS.HSF.BF.B.5
CCSS.HSA.SSE.B.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write as one logarithm. Simplify, if possible.
log5125 - log525
Tags
CCSS.HSF.BF.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write in logarithmic form.
52 = 25
Tags
CCSS.HSF.BF.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Rewrite logvn = a in exponential form.
Tags
CCSS.HSF.BF.B.5
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
a logarithm with base 10
algebraic functions
common logarithm
logistic growth function
logarithmic functions
Tags
CCSS.HSF.BF.B.5
CCSS.HSF.LE.A.4
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
a function of the form f(x)=abx
exponential functions
inverse function
algebraic functions
transcendental functions
Tags
CCSS.HSF-LE.A.1A
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