Notesale: Turn your study into money

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Complete Study Guide for Algebra: Mastering the Basics

1
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Make sure you understand the order of operations (PEMDAS) and can simplify
expressions
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Understand the concept of a variable and how to solve equations involving one or more
variables
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3
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4
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5
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6
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Understand how to add, subtract, and multiply polynomials
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Study radical functions and learn how to simplify, add, subtract, and multiply radical
expressions
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8
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Understand how to add,
subtract, multiply, and divide rational functions
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Study systems of equations and learn how to solve them using the substitution and
elimination methods
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Understand the concept of functions and learn how to graph them using function
notation, domain, and range
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Practice solving word problems, as these will often involve translating the problem into
mathematical equations and then solving them
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Review and practice regularly to help keep the material fresh in your mind
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13
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You can ask your
teacher or a tutor for help
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Practice solving problems with a study group, you can share the knowledge and help
each other
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Take breaks and avoid cramming, studying for shorter periods of time with breaks in
between is more effective than trying to cram all the information into one long study
session
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Learn about exponents and logarithms and understand how to simplify, add,
subtract, and multiply exponential and logarithmic functions
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Study matrices and determinants and learn how to perform matrix operations
such as addition, subtraction, and multiplication
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Understand the concept of complex numbers and learn how to add, subtract,
multiply, and divide complex numbers in standard form
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Learn about sequences and series and understand how to find the nth term and
the sum of a finite or infinite series
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Study conic sections and learn how to graph parabolas, circles, ellipses, and
hyperbolas in standard form
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Understand the concept of binomial theorem and learn how to expand binomial
expressions using the binomial theorem
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Learn about permutations and combinations and understand how to use the
formulas for nPr and nCr to solve counting problems
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Study inequalities and learn how to graph linear and nonlinear inequalities on a
number line and on a coordinate plane
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Understand the concept of absolute value and learn how to solve absolute value
equations and inequalities
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Learn about logarithmic and exponential equations and understand how to solve
them using properties of logarithms and exponents
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Study mathematical induction and learn how to prove statements using the
principle of mathematical induction
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Learn about partial fractions and understand how to decompose a rational
function into a sum of simpler fractions
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Study complex integration and learn how to evaluate real and complex integrals
using techniques such as substitution, integration by parts, and partial fractions
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Understand the concept of limits and learn how to evaluate limits of functions
using algebraic and graphical methods
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Learn about partial derivatives and gradient vectors and understand how to use
them to find the rate of change of a function in a specific direction

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