ALEKS Worktext for Intermediate Algebra: Bundle Version

Slice 1 Fundamentals1.1 Integer and Rational Numbers 1.2 Integer, Rational, and Irrational Numbers 1.3 Evaluation of a Linear Expression in Two Variables1.4 Evaluation of a Polynomial in One Variable 1.5 Writing a Linear Equation1.6 Writing an Inequality 1.7 Writing a Compound Inequality 1.8 Properties of Addition1.9 Properties of Real NumbersSlice 2 Solving Linear Equations 2.1 Addition Property of Equality: Problem Type 1 2.2 Addition Property of Equality: Problem Type 22.3 Addition Property of Equality: Problem Type 3 2.4 Multiplication Property of Equality: Problem Type 1 2.5 Multiplication Property of Equality: Problem Type 22.6 Solving a Linear Equation: Problem Type 1 2.7 Solving a Linear Equation: Problem Type 2 2.8 Solving a Linear Equation: Problem Type 3 2.9 Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 12.10 Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 2 2.11 Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 3 2.12 Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 42.13 Solving a Linear Equation with Several Occurrences of the Variable: Problem Type 5 2.14 Word Problem on Linear Equations: Problem Type 1 2.15 Word Problem on Linear Equations: Problem Type 2 2.16 Solving a Linear Equality: Problem Type 1 2.17 Solving a Linear Equality: Problem Type 2 2.18 Solving a Linear Equality: Problem Type 3 2.19 Solving a Linear Equality: Problem Type 42.20 Graphing a Linear Inequality on a Number Line 2.21 Graphing a Compound Linear Inequality on a Number Line 2.22 Word Problem with Linear Inequalities 2.23 Solving a Linear Equation with Absolute Value: Problem Type 12.24 Solving a Linear Equation with Absolute Value: Problem Type 2 2.25 Solving a Linear Inequality with Absolute Value 2.26 Graphing a Linear Inequality with Absolute Value on a Number Line 2.27 Word Problem on Proportions: Problem Type 1 2.28 Word Problem on Proportions: Problem Type 2 2.29 Word Problem with Percent and Money: Problem Type 1 2.30 Word Problem with Percent and Money: Problem Type 2 2.31 Solving a System of Linear Equations2.32 Inconsistent System of Linear Equations 2.33 Word Problem on Systems of Linear Equations: Problem Type 1 2.34 Word Problem on Systems of Linear Equations: Problem Type 2 2.35 Word Problem on Systems of Linear Equations: Problem Type 3 2.36 Word Problem on Systems of Linear Equations: Problem Type 4 Slice 3 Graphing Linear Equations3.1 Reading a Point in the Coordinate Plane 3.2 Marking a Point in the Coordinate Plane3.3 Midpoint of a Line Segment in the Plane 3.4 Solutions to a Linear Equation in Two Variables: Problem Type 1 3.5 Solutions to a Linear Equation in Two Variables: Problem Type 2 3.6 Graphing a Line Given the X- and Y-Intercepts 3.7 Graphing a Line Given the Equation in Slope-Intercept Form3.8 Graphing a Line Given the Equation in Standard Form 3.9 Graphing the Line through a Given Point with a Given Slope 3.10 Graphing a Vertical or Horizontal Line 3.11 Y-Intercept of a Line 3.12 X- and Y-Intercepts of a Line Given the Equation in Standard Form3.13 Writing the Equation of a Line Given the Slope and the Y-Intercept 3.14 Writing the Equation of a Line Given the Slope and a Point3.15 Writing the Equation of the Line through Two Given Points 3.16 Writing the Equation of Vertical and Horizontal Lines through a Given Point 3.17 Writing the Equation of the Line through a Given Point and Parallel to a Given Line 3.18 Writing the Equation of the Line through a Given Point and Perpindicular to a Given Line 3.19 Graphing a Linear Inequality in the Plane: Problem Type 1 3.20 Graphing a Linear Inequality in the Plane: Problem Type 2 3.21 Graphing a Linear Equation with Absolute Value in the Plane3.22 Graphing a System of Linear Equations 3.23 Graphing a System of Linear Inequalities3.24 Distance between Two Points in the Plane Slice 4 Sets, Relations, and Functions4.1 Definition of a Set by Extension and by a Property Satisfied by its Elements 4.2 Inclusion of Sets 4.3 Union of Sets 4.4 Intersection of Sets 4.5 Difference of Sets 4.6 Cartesian Product of Sets 4.7 Representation of a Cartesian Product in the Plane 4.8 Concept of Relation 4.9 Domain and Range of a Relation 4.10 Representation of a Relation in the Plane 4.11 Inverse of a Relation 4.12 Graph of the Inverse of a Relation 4.13 Concept of a Function4.14 Domain of a Real Function 4.15 Range of a Real Function 4.16 One-to-One Functions4.17 Inverse of a One-to-One Function4.18 Sum of Two Linear Functions 4.19 Product of Two Linear Functions 4.20 Quotient of Two Linear Functions4.21 Composition of Two Functions 4.22 Vertical Translation of the Graph of a Function 4.23 Horizontal Translation of the Graph of a Function Slice 5 Exponents and Rational Expressions5.1 Restriction on the Variable in a Denominator 5.2 Ordering Fractions 5.3 Word Problem on Proportions: Problem Type 3 5.4 Additive Law of Exponents 5.5 Multiplicative Law of Exponents and negative Exponents5.6 Substitution and Laws of Exponents: Problem Type 1 5.7 Substitution and Laws of Exponents: Problem Type 2 5.8 Additive Law of Exponents in a Multivariate Monomial5.9 Multiplying Rational Expressions 5.10 Dividing Rational Expressions5.11 Complex Fraction: Problem Type 1 5.12 Complex Fraction: Problem Type 25.13 Adding Rational Expressions with a Common Denominator 5.14 Adding Rational Expressions with Different Denominators5.15 Adding Rational Expressions 5.16 Ratio of Multivariate Polynomials5.17 Algebraic Symbol Manipulation5.18 Solving a Simple Equation with Rational Expressions: Problem Type 1 5.19 Solving a Simple Equation with Rational Expressions: Problem Type 2 5.20 Solving a Simple Equation with Rational Expressions: Problem Type 35.21 Solving an Equation with Rational Expressions: Problem Type 15.22 Solving an Equation with Rational Expressions: Problem Type 25.23 Solving an Equation with Rational Expressions: Problem Type 35.24 Word Problem on Direct Variation5.25 Word Problem on Inverse VariationSlice 6 Polynomials and Quadratic Equations6.1 Addition of Polynomials6.2 Multiplication of Monomials6.3 Multiplication of Two Binomials6.4 Squaring a Binomial6.5 Multiplication of Polynomials 6.6 Degree of a Multivariate Polynomial6.7 Division of a Polynomial by a Binomial with no Remainder6.8 Division of a Polynomial by a Binomial with Remainder6.9 Greatest Common Factor of Two Monomials 6.10 Least Common Multiple of Two Monomials 6.11 Factoring a Multivariate by Grouping: Problem Type 16.12 Factoring a Multivariate by Grouping: Problem Type 2 6.13 Factoring a Quadratic Trinomial with Leading Coefficient 1 6.14 Factoring a Quadratic Trinomial with Leading Coefficient Greater than 1 6.15 Factoring a Perfect Square 6.16 Completing the Square6.17 Factoring the Product of a Quadratic Trinomial with a Monomial 6.18 Factoring the Difference of Two Squares6.19 Factoring the Difference of Two Fourth Powers 6.20 Factoring the Sum and Difference of Two Cubes 6.21 Ratio of Quadratic Polynomials: Problem Type 16.22 Ratio of Quadratic Polynomials: Problem Type 26.23 Ratio of Quadratic Polynomials: Problem Type 36.24 Roots of a Quadratic Equation with Leading Coefficient 1 6.25 Roots of a Quadratic Equation with Leading Coefficient Greater than 1 6.26 Roots of a Product of Polynomials6.27 Roots of a Sum of Polynomials 6.28 Even-Root Property6.29 Odd-Root Property 6.30 Writing a Quadratic Equation Given the Roots and the Leading Coefficient 6.31 Quadratic Formula6.32 Discriminant of a Quadratic Equation6.33 Discriminant of a Quadratic Equation with Parameter 6.34 Solving a Quadratic Inequality6.35 Graphing a Parabola6.36 Graphing a Quadratic Inequality Slice 7 Radicals7.1 Simplifying a Radical Expression 7.2 Simplifying a Sum of Radical Expressions7.3 Simplifying a Product of Radical Expressions: Problem Type 1(*) 7.4 Simplifying a Product of Radical Expressions: Problem Type 2(*) 7.5 Simplifying a Product of Radical Expressions: Problem Type 3(*) 7.6 Rationalizing the Denominator of a Radical Expression(*) 7.7 Rationalizing the Denominator of a Radical Expression using Conjugates 7.8 Solving an Equation with Exponents Using the Even-Root Preoperty(*) 7.9 Solving an Equation with Exponents Using the Odd-Root Preoperty 7.10 Solving an Equation with Radicals: Problem Type 1 7.11 Solving an Equation with Radicals: Problem Type 2 7.12 Solving an Equation with Radicals: Problem Type 3 7.13 Solving an Equation with Radicals: Problem Type 4 7.14 Solving an Equation with Positive Rational Exponents 7.15 Solving an Equation with Negative Rational Exponents Slice 8 Exponentials and Logarithms8.1 Product Rule for Logarithms8.2 Quotient Rule for Logarithms8.3 Power Rule for Logarithms8.4 Change of Base for Logarithms 8.5 Translating a Logarithmic Equation into an Exponential Equation and Conversely8.6 Evaluating a Logarithmic Expression8.7 Solving a Logarithmic Equation: Problem Type 18.8 Solving a Logarithmic Equation: Problem Type 28.9 Solving an Exponential Equation: Problem Type 18.10 Solving an Exponential Equation: Problem Type 2 8.11 Word Problem with Exponential Equation: Problem Type 1 8.12 Word Problem with Exponential Equation: Problem Type 2