Download College Algebra (MTH 111) Name: Standards Checklist Below is a

College Algebra (MTH 111)
Standards Checklist
Name:_____________________
Below is a list of the skills you will learn during this course. After each test (or the chapter 9 quiz),
check off the ones you have demonstrated with mastery. By keeping your checker sheet up-to-date you
will know which topics you have really learned and which need to be studied further.
Chapter 7: Systems of Equations and Inequalities
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17%
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Solve systems of equations algebraically or graphically
Perform matrix operations including addition, subtraction, scalar multiplication, and
multiplication
Find the determinant of a matrix and use it to compute the inverse
Use matrix algebra to solve systems of equations
Analyze the solutions for a system of equations in 2 or 3 variables
Solve and interpret systems of inequalities and linear programming problems
Model and solve word problems using systems of equations
Chapter 1: Functions
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17%
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Convert back and forth between numeric, algebraic, and graphic representations of
functions
Demonstrate an understanding of the concept of a function, function notation, and
evaluating a function
Graph and analyze functions, identifying domain, range, continuity, symmetry,
asymptotes, extrema, increasing/decreasing regions, or boundedness
Create graphic, algebraic, or numeric representations of functions with specific properties
Compare and distinguish the 12 basic functions’ characteristics
Perform operations on functions including composition
Identify the inverse of a function graphically or algebraically
Analyze the effect of transformations on a graph
Chapter 2: Polynomial and Rational Functions
17%
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Analyze linear relationships using equations, graphs, or correlation
Graph a parabola and identify its vertex and axis of symmetry
Solve and interpret quadratic equations using factoring or the quadratic formula
Apply long or synthetic division to test whether an expression is a factor of a polynomial
Perform operations on complex numbers and graph them
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Analyze the nature of the roots of a polynomial
Using the Fundamental Theorem of Algebra, write a polynomial equation in standard or
factored form
Graph rational functions and identify their asymptotes
Solve rational equations and identify any extraneous solutions
Solve rational inequalities using sign-charts or graphs
Chapter 3: Exponential Functions and Logarithms
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17%
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Graph, evaluate, and analyze exponential, logistic, and logarithmic equations
Analyze data to determine the equation for a curve of best fit and use the equation to
make a prediction
Identify and apply the inverse relationship between logarithms and exponential functions
Apply the basic properties of logarithms
Solve exponential and logarithmic equations
Model exponential situations involving population growth/decline, compound interest,
radioactive half-life, or Newton’s Law of Cooling
Chapter 9: Sequences and Series
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12%
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Define, recognize, and distinguish between arithmetic and geometric sequences
Find the explicit or recursive formulas for arithmetic and geometric sequences and use
these formulas to determine a specific term or term number
Find partial sums of arithmetic and geometric series and find sums of convergent infinite
series
Solve word problems by modeling the patterns with sequences or series
Overall Retention
20%
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Demonstrate retention of Chapter 7: Systems of Equations and Inequalities
Demonstrate retention of Chapter 1: Functions
Demonstrate retention of Chapter 2: Polynomial and Rational Functions
Demonstrate retention of Chapter 3: Exponential Functions and Logarithms
Demonstrate retention of Chapter 9: Sequences and Series