| Fundamentals | |
| Integer and Rational Numbers | |
| Integer, Rational, and Irrational Numbers | |
| Evaluation of a Linear Expression in Two Variables | |
| Evaluation of a Polynomial in One Variable | |
| Writing a Linear Equation | |
| Writing an Inequality | |
| Writing a Compound Inequality | |
| Properties of Addition | |
| Properties of Real Numbers | |
| Solving Linear Equations | |
| Addition Property of Equality: Problem Type 1 | |
| Addition Property of Equality: Problem Type 2 | |
| Addition Property of Equality: Problem Type 3 | |
| Multiplication Property of Equality: Problem Type 1 | |
| Multiplication Property of Equality: Problem Type 2 | |
| Solving a Linear Equation: Problem Type 1 | |
| Solving a Linear Equation: Problem Type 2 | |
| Solving a Linear Equation: Problem Type 3 | |
| Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 1 | |
| Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 2 | |
| Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 3 | |
| Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 4 | |
| Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 5 | |
| Word Problem on Linear Equations: Problem Type 1 | |
| Word Problem on Linear Equations: Problem Type 2 | |
| Solving a Linear Equality: Problem Type 1 | |
| Solving a Linear Equality: Problem Type 2 | |
| Solving a Linear Equality: Problem Type 3 | |
| Solving a Linear Equality: Problem Type 4 | |
| Graphing a Linear Inequality on a Number Line | |
| Graphing a Compound Linear Inequality on a Number Line | |
| Word Problem with Linear Inequalities | |
| Solving a Linear Equation with Absolute Value: Problem Type 1 | |
| Solving a Linear Equation with Absolute Value: Problem Type 2 | |
| Solving a Linear Inequality with Absolute Value | |
| Graphing a Linear Inequality with Absolute Value on a Number Line | |
| Word Problem on Proportions: Problem Type 1 | |
| Word Problem on Proportions: Problem Type 2 | |
| Word Problem with Percent and Money: Problem Type 1 | |
| Word Problem with Percent and Money: Problem Type 2 | |
| Solving a System of Linear Equations | |
| Inconsistent System of Linear Equations | |
| Word Problem on Systems of Linear Equations: Problem Type 1 | |
| Word Problem on Systems of Linear Equations: Problem Type 2 | |
| Word Problem on Systems of Linear Equations: Problem Type 3 | |
| Word Problem on Systems of Linear Equations: Problem Type 4 | |
| Graphing Linear Equations | |
| Reading a Point in the Coordinate Plane | |
| Marking a Point in the Coordinate Plane | |
| Midpoint of a Line Segment in the Plane | |
| Solutions to a Linear Equation in Two Variables: Problem Type 1 | |
| Solutions to a Linear Equation in Two Variables: Problem Type 2 | |
| Graphing a Line Given the X- and Y-Intercepts | |
| Graphing a Line Given the Equation in Slope-Intercept Form | |
| Graphing a Line Given the Equation in Standard Form | |
| Graphing the Line through a Given Point with a Given Slope | |
| Graphing a Vertical or Horizontal Line | |
| Y-Intercept of a Line | |
| X- and Y-Intercepts of a Line Given the Equation in Standard Form | |
| Writing the Equation of a Line Given the Slope and the Y-Intercept | |
| Writing the Equation of a Line Given the Slope and a Point | |
| Writing the Equation of the Line through Two Given Points | |
| Writing the Equation of Vertical and Horizontal Lines through a Given Point | |
| Writing the Equation of the Line through a Given Point and Parallel to a Given Line | |
| Writing the Equation of the Line through a Given Point and Perpindicular to a Given Line | |
| Graphing a Linear Inequality in the Plane: Problem Type 1 | |
| Graphing a Linear Inequality in the Plane: Problem Type 2 | |
| Graphing a Linear Equation with Absolute Value in the Plane | |
| Graphing a System of Linear Equations | |
| Graphing a System of Linear Inequalities | |
| Distance between Two Points in the Plane | |
| Sets, Relations, and Functions | |
| Definition of a Set by Extension and by a Property Satisfied by its Elements | |
| Inclusion of Sets | |
| Union of Sets | |
| Intersection of Sets | |
| Difference of Sets | |
| Cartesian Product of Sets | |
| Representation of a Cartesian Product in the Plane | |
| Concept of Relation | |
| Domain and Range of a Relation | |
| Representation of a Relation in the Plane | |
| Inverse of a Relation | |
| Graph of the Inverse of a Relation | |
| Concept of a Function | |
| Domain of a Real Function | |
| Range of a Real Function | |
| One-to-One Functions | |
| Inverse of a One-to-One Function | |
| Sum of Two Linear Functions | |
| Product of Two Linear Functions | |
| Quotient of Two Linear Functions | |
| Composition of Two Functions | |
| Vertical Translation of the Graph of a Function | |
| Horizontal Translation of the Graph of a Function | |
| Exponents and Rational Expressions | |
| Restriction on the Variable in a Denominator | |
| Ordering Fractions | |
| Word Problem on Proportions: Problem Type | |
| Additive Law of Exponents | |
| Multiplicative Law of Exponents and negative Exponents | |
| Substitution and Laws of Exponents: Problem Type 1 | |
| Substitution and Laws of Exponents: Problem Type 2 | |
| Additive Law of Exponents in a Multivariate Monomial | |
| Multiplying Rational Expressions | |
| Dividing Rational Expressions | |
| Complex Fraction: Problem Type 1 | |
| Complex Fraction: Problem Type 2 | |
| Adding Rational Expressions with a Common Denominator | |
| Adding Rational Expressions with Different Denominators | |
| Adding Rational Expressions | |
| Ratio of Multivariate Polynomials | |
| Algebraic Symbol Manipulation | |
| Solving a Simple Equation with Rational Expressions: Problem Type 1 | |
| Solving a Simple Equation with Rational Expressions: Problem Type 2 | |
| Solving a Simple Equation with Rational Expressions: Problem Type 3 | |
| Solving an Equation with Rational Expressions: Problem Type 1 | |
| Solving an Equation with Rational Expressions: Problem Type 2 | |
| Solving an Equation with Rational Expressions: Problem Type 3 | |
| Word Problem on Direct Variation | |
| Word Problem on Inverse Variation Slice | |
| Polynomials and Quadratic Equations | |
| Addition of Polynomials | |
| Multiplication of Monomials | |
| Multiplication of Two Binomials | |
| Squaring a Binomial | |
| Multiplication of Polynomials | |
| Degree of a Multivariate Polynomial | |
| Division of a Polynomial by a Binomial with no Remainder | |
| Division of a Polynomial by a Binomial with Remainder | |
| Greatest Common Factor of Two Monomials | |
| Least Common Multiple of Two Monomials | |
| Factoring a Multivariate by Grouping: Problem Type 1 | |
| Factoring a Multivariate by Grouping: Problem Type 2 | |
| Factoring a Quadratic Trinomial with Leading Coefficient 1 | |
| Factoring a Quadratic Trinomial with Leading Coefficient Greater than 1 | |
| Factoring a Perfect Square | |
| Completing the Square | |
| Factoring the Product of a Quadratic Trinomial with a Monomial | |
| Factoring the Difference of Two Squares | |
| Factoring the Difference of Two Fourth Powers | |
| Factoring the Sum and Difference of Two Cubes | |
| Ratio of Quadratic Polynomials: Problem Type 1 | |
| Ratio of Quadratic Polynomials: Problem Type 2 | |
| Ratio of Quadratic Polynomials: Problem Type 3 | |
| Roots of a Quadratic Equation with Leading Coefficient 1 | |
| Roots of a Quadratic Equation with Leading Coefficient Greater than 1 | |
| Roots of a Product of Polynomials | |
| Roots of a Sum of Polynomials | |
| Even-Root Property | |
| Odd-Root Property | |
| Writing a Quadratic Equation Gi | |
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