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RWM102: Algebra
Sections
Course Introduction
Course Syllabus
Unit 1: Variables and Variable Expressions
Unit 2: Linear Equations
Unit 3: Word Problems
Unit 4: Inequalities
Unit 5: Graphs of Linear Equations and Inequalities
Unit 6: Systems of Linear Equations and Inequalities
Unit 7: Operations with Monomials
Unit 8: Operations with Polynomials
Unit 9: Factoring Polynomials
Study Guide
Course Feedback Survey
Certificate Final Exam
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Activities
Quizzes
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-- Course Syllabus --
-- Unit 1: Variables and Variable Expressions --
-- 1.1: Variables, Constants, and Coefficients --
-- 1.2: Replacing Variables with Their Values --
-- 1.3: Order of Operations Review --
-- 1.4: Commutative Property of Addition and Multiplication --
-- 1.5: Associative Property of Addition and Multiplication --
-- 1.6: Distributive Property of Multiplication over Addition/Subtraction --
-- 1.7: Definition and Examples of Like Terms --
-- 1.8: Simplifying Expressions by Combining Like Terms --
-- Unit 2: Linear Equations --
-- 2.1: Definition of an Equation and a Solution of an Equation --
-- 2.2: Addition/Subtraction Property of Equations --
-- 2.3: Multiplication/Division Property of Equations --
-- 2.4: Equations of the Form
x
+
a
=
b
and
x
−
a
=
b
--
-- 2.5: Equations of the Form
ax
=
b
and
x
/
a
=
b
--
-- 2.6: Equations of the Form
ax
+
b
=
c
--
-- 2.7: Equations of the Form
ax
+
b
=
cx
+
d
--
-- 2.8: Equations with Parentheses --
-- 2.9: Solving Literal Equation for One of the Variables --
-- Unit 3: Word Problems --
-- 3.1: Mathematical Symbols and Expressions for Common Words and Phrases --
-- 3.2: Translating Verbal Expression into Mathematical Equations --
-- 3.3: Number Problems --
-- 3.4: Consecutive Integer Problems --
-- 3.5: General Statement Problems --
-- 3.6: Applying the Uniform Motion Equation --
-- 3.7: Value Mixture Problems --
-- Unit 4: Inequalities --
-- 4.1: Definition and Notation of an Inequality --
-- 4.2: Graphing Inequalities on a Number Line --
-- 4.3: Solving One-Step Inequalities --
-- 4.4: Solving Multi-Step Inequalities --
-- Unit 5: Graphs of Linear Equations and Inequalities --
-- 5.1: Graphing Points in the Rectangular Coordinate Plane --
-- 5.2: Ordered Pairs as Solutions of an Equation in Two Variables --
-- 5.3: Graphing Equations in Two Variables of the Form
Ax
+
By
=
C
--
-- 5.4: Intercepts of a Straight Line --
-- 5.5: Definition of Slope and Slope Formula --
-- 5.6: Slopes of Parallel and Perpendicular Lines --
-- 5.7: Graphing Equations in Two Variables of the Form
y = mx + b
--
-- 5.8: Point-Slope Form --
-- 5.9: Graphing Linear Inequality of Two Variables on the Coordinate Plane --
-- Unit 6: Systems of Linear Equations and Inequalities --
-- 6.1: Solution of a System of Linear Equations --
-- 6.2: Solving Systems of Linear Equations by Graphing --
-- 6.3: Solving Systems of Linear Equations Using the Substitution Method --
-- 6.4: Solving Systems of Linear Equations Using the Elimination Method --
-- 6.5: Choosing a Strategy for Solving Systems of Linear Equations --
-- 6.6: Solving Word Problems by Using Systems of Equations --
-- 6.7: Graphing Systems of Linear Inequalities --
-- 6.8: Applications of Systems of Linear Inequalities --
-- Unit 7: Operations with Monomials --
-- 7.1: Algebraic Exponential Expressions --
-- 7.2: Manipulating Exponents --
-- 7.3: Quotient of Exponents and Power of a Quotient --
-- 7.4: Negative Exponents --
-- 7.5: Multiplying Monomials --
-- 7.6: Dividing Monomials --
-- Unit 8: Operations with Polynomials --
-- 8.1: Classifying Polynomials --
-- 8.2: Adding and Subtracting Polynomials --
-- 8.3: Multiplying a Polynomial by a Monomial --
-- 8.4: Multiplying Binomials (FOIL) --
-- 8.5: Complete the Square and Difference of Two Squares --
-- 8.6: Multiplying Polynomials with Any Number of Terms --
-- 8.7: Dividing a Polynomial by a Monomial --
-- 8.8: Dividing a Polynomial by a Binomial --
-- Unit 9: Factoring Polynomials --
-- 9.1: Identifying Greatest Common Factor --
-- 9.2: Factoring Polynomials by Grouping --
-- 9.3: Revisiting FOIL by Working Backwards --
-- 9.4: Factoring Trinomials of the Form
x
² +
bx
+
c
when
c
is Positive --
-- 9.5: Factoring Trinomials of the Form
x
² +
bx
+
c
when
c
is Negative --
-- 9.6: Factoring by Grouping --
-- 9.7: Factoring Trinomials of the Form
x
² +
bxy
+
cy
² and
ax
² +
bxy
+
cy
² --
-- 9.8: Identifying and Factoring Complete Square Trinomials --
-- 9.9: Identifying and Factoring the Difference of Two Squares --
-- 9.10: Identifying and Factoring the Sum and Difference of Two Cubes --
-- 9.11: Factoring General Polynomials --
-- 9.12: The Principle of Zero Product and Identifying Solutions --
-- 9.13: Using Factoring to Solve Quadratic Equations --
-- 9.14: Applications for Solving Problems --
-- Study Guide --
-- Course Feedback Survey --
-- Certificate Final Exam --
RWM102: Certificate Final Exam
-- Archived Materials --
RWM102: Certificate Final Exam (Attempts before 2020/04/06)
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RWM102: Certificate Final Exam