ALGEBRA 2A
UNIT 1: SOLVING INEQUALITIES AND SYSTEMS OF EQUATIONS
Key Standard: 2.0 Students solve systems of linear equations and inequalities (in two or three variables)
by substitution, with graphs, or with matrices.
Core Standards:
 Solve linear equations and inequalities in one variable, including equations with coefficients
represented by letters and absolute value
 Prove that given a system of two equations in two variables, replacing one equation by the sum of
that equation and multiple of the other produces a system with the same solution
 Solve systems of linear equations exactly and approximately focusing on pairs of linear equations
in two variables.
 Represent a system of linear equations as a single matrix equation and find the inverse matrix
and use it to solve a system of linear equations
2-4
2-6
2-7
4-1
4-2
4-4
13-1
13-3
WS
13-5
WS
4-6
Solving Inequalities
Compound Inequalities
Absolute Value Inequalities
Systems of Equations in Two Variables
Solving Systems of Equations
Systems of Equations in Three Variables
Matrices and Systems of Equations
Determinants and Cramer’s Rule
Cramer’s Rule
Inverse of Matrices
Inverse Matrices to solve Linear Equations
Consistent and Dependent Systems (Graphing)
UNIT 2: POLYNOMIALS AND FACTORING
Key Standard: 4.0 Students factor polynomials representing the difference of squares, perfect square trinomials,
and the sum and difference of two cubes.
Core Standards:
 Factor a quadratic expression to reveal the zeros of the function it defined
 Understand that polynomials form a system analogous to the integers; add, subtract, multiply and
divide polynomials by a monomial
 Use the distributive property to express a sum of terms with a common factor as a multiple of a
sum of terms as a sum of products
 Apply basic factoring techniques to third degree polynomials; find a common factor, recognize a
difference of squares, perfect squares and sum and differences of cubes.
5-1
5-2
5-3
5-4
5-4
5-4
5-5
5-6
5-7
5-8
WS
15-4
Polynomials and Functions
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Factoring
Factoring Using the x-box Method
Factoring Using the TICTACTOE Method
More Factoring
Factoring: A General Strategy
Solving Equations by Factoring
Using Equations
Pascal’s Triangle and the Binomial Theorem
The Binomial Theorem
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UNIT 3: RATIONAL EXPRESSIONS AND EQUATIONS
Key Standard: 6.0 Students add, subtract, multiply, and divide complex numbers.
7.0 Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with
monomial and polynomial denominators and simplify complicated rational expressions,
including those with negative exponents in the denominator.
Core Standards:
 Perform arithmetic operations on polynomials
 Understand the relationship between zeros and factors of polynomials
 Solve simple rational and radical equations in one variable, and give examples showing how
extraneous solutions may arise
 Use polynomial identities to solve problems
6-1
6-2
6-3
6-4
6-5
6-6
6-8
Multiplying and Simplifying
Addition and Subtraction
Complex Rational Expressions
Division of Polynomials
Synthetic Division
Solving Rational Equations
Formulas
UNIT 4: POWERS, ROOTS AND RADICAL EXPRESSIONS
Key Standard: 7.0 Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with
monomial and polynomial denominators and simplify complicated rational expressions,
including those with negative exponents in the denominator.
Core Standards:
 Solve simple rational and radical equations in one variable, and give examples showing how
extraneous solutions may arise
 Explain each step in solving a simple equation asserted by the previous step
7-1
7-2
7-3
7-4
7-5
7-6
Radical Expressions
Multiplying and Simplifying
Operations with Radical Expressions
More Operations with Radical Expressions
Rational Numbers as Exponents
Solving Radical Equations
Algebra 2A Fall Semester 2013, R. Hurst
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