SAT Math

Our SAT Math course provides students with all the content knowledge they need to perform well in the math section of the SAT exam. Filling in missing gaps is the first and most important step towards preparing for the exam as lacking any of these skills will be exposed and reflected in the student's score.

However, to achieve the best possible outcome, students must also dedicate time to a structured and intentional test preparation process, which we describe in this article on how to prepare for a standardized math test.

Content

This course provides everything students need to master the SAT Math curriculum.

Students begin by taking a diagnostic assessment, which will identify their current knowledge frontier and any weaknesses in their foundational knowledge.

Once the student has completed the diagnostic assessment, our sophisticated algorithms will create a custom course that addresses foundational weaknesses along with a plan for building on their existing strengths to attain the highest possible score.

Comparing SAT Math to the Traditional High-School Sequence

The following data gives the composition of the SAT Math course against the traditional math sequence.

For example, 39% of the topics in the SAT Math course are from Prealgebra.

The data below describes the proportion of each high school course whose topics feature in SAT Math.

For example, a student who's completed SAT Math will have completed at least 90% of Prealgebra.

Comparing SAT Math to the Integrated Math Sequence

The following data gives the composition of the SAT Math course against the integrated sequence.

For example, 37% of the topics in the SAT Math course are from Integrated Math I.

The data below describes the proportion of each high school course whose topics feature in SAT Math.

For example, a student who's completed the SAT Math course will have completed at least 81% of Integrated Math I.

Upon successful completion of this course, students will have mastered the following:

Preliminaries

• Addition, subtraction, multiplication, and division with rational numbers, and solving real-world and mathematical problems involving these operations.
• Manipulating expressions involving exponents and radicals, fractional and negative exponents, and the rules of exponents and radicals.
• Applying the order of operations to evaluate complex expressions containing rational numbers, fractional and negative exponents, and radicals.
• Constructing, evaluating, simplifying, and factoring linear algebraic expressions.

Algebra - Linear Equations in One Variable

• Solving one-step and multi-step linear equations, including cases involving rational expressions, cross-multiplication, unknown coefficients, and multiple variables.
• Using linear equations to model and solve real-world and mathematical problems.

Algebra - Linear Equations in Two Variables

• Graphing linear equations, calculating and describing a graph's key features.
• Working with slope-intercept, point-slope, and standard forms of straight line equations and determining properties of lines presented in these forms.
• Finding equations of parallel and perpendicular lines.
• Using two-variable equations to solve contextual problems, including problems involving speed, distance, time, and acceleration.
• Solving two-variable systems of linear equations using substitution and elimination, including cases with fractional and decimal coefficients, systems with no solutions or infinitely many solutions, and explaining how the solutions relate to the intersection of two lines.
• Using two-variable systems to model and solve contextual problems.

Algebra - Linear Inequalities

• Solving single-variable linear inequalities, compound inequalities, and systems of inequalities and graphing their solutions.
• Interval notation, including unions and intersections.
• Solving two-variable linear inequalities and systems of inequalities using a graphical method.
• Using single-variable and two-variable inequalities in real-world modeling contexts.

Geometry - Points, Lines, & Angles

• Understanding and applying basic geometry concepts, including working with segments, angles, and their properties.
• Solve problems involving complementary, supplementary, corresponding, alternate, and consecutive angles.

Geometry - Polygons & Solids

• Solving problems with interior and exterior angles of triangles.
• Classifying triangles and applying the isosceles triangle theorem.
• Understanding and applying terminology related to geometry in three dimensions and identifying common three-dimensional shapes.

Geometry - Congruence & Similarity

• Applying the ASA, SAS, AAS, SSS, and HL congruence criteria, and the AA, SSS, and SAS similarity criteria.
• Applying the midpoint and proportionality theorems.
• Solving problems related to polygon and solid similarity, including area and volume scale factors.

Geometry - Length, Area & Volume

• Calculating perimeters and areas of polygons in the plane.
• Applying the distance and midpoint formulas.
• Solving problems related to the surface area and volume of three-dimensional figures, including cubes, rectangular solids, pyramids, cylinders, cones, and spheres.

Geometry - Circles

• Circle fundamentals: interiors and exteriors of circles, circular arcs, sectors, and segments.
• Calculating circumferences and areas of circles and circular sectors.
• Solving problems involving tangent lines to circles.
• Working with radians, including converting between radians and degrees and using radians to calculate arc lengths and areas of sectors.
• Equations of circles in the coordinate plane, including techniques for determining properties of circles from their algebraic equations.

Trigonometry

• The Pythagorean theorem and its converse.
• The 45-45-90 and 30-60-90 special right triangles.
• Using trigonometric ratios to calculate side lengths and angle measures in right triangles.
• Using the special trigonometric ratios and the relationship between sine and cosine in terms of cofunctions.
• Modeling and solving real-world problems using trigonometry.

• Functions essentials, including representations of functions, the vertical line test, domain, range, global and local extrema, roots, end-behavior, increasing and decreasing functions, piecewise functions, and inverse functions in simple cases.

• Applying the rules of absolute value and solving simple absolute value equations.
• Sketching absolute value functions, including cases with translations, stretches, reflections, and composite transformations.
• Determining roots of transformed absolute value functions.

• Polynomial fundamentals, including simplifying, adding, subtracting, multiplying, and factoring polynomials.
• Techniques for solving quadratic equations, including applying the zero product rule, completing the square, and the quadratic formula.
• Finding the discriminant of a quadratic equation and solving related problems.
• Performing graph transformations of simple quadratic curves, including cases with translations, stretches, reflections, and composite transformations.
• Finding the axis of symmetry and roots of a general quadratic function and plotting their graphs.
• Solving nonlinear systems of equations involving quadratic functions and lines.
• Using quadratic functions to model real-world situations, such as vertical motion, revenue, cost, and profit functions.
• Factoring higher-order polynomials using greatest common factors, differences of squares, and grouping, and solving polynomial equations using these techniques.

Advanced Algebra - Exponential Equations & Functions

• Exponential expressions and equations, including modeling exponential growth and decay situations in context.
• The domain, range, intercepts, asymptotes, roots, and end behavior of exponential functions.
• Using exponential functions to model and solve real-world problems.

• Adding, subtracting, multiplying, dividing, and simplifying rational expressions, and solving rational equations.

Problem-Solving: Ratios & Percentages

• Solving real-world and mathematical problems involving ratios, percentages, unit rates, and proportional relationships, including modeling and solving real-world and mathematical problems.
• Determining units in formulas, including rates of change, working with standard and non-standard units.
• Performing unit conversions using algebraic techniques, including converting between units of area and volume.

Data Analysis - Statistics & Probability

• Summarizing and representing data through concepts such as centrality, spread, skew, and outliers and using frequency tables, dot plots, box plots, and histograms to visualize data and interpret distributions.
• Using scatter plots to identify trends in bivariate data, estimating trend lines, interpreting trend line coefficients in context, understanding the correlation coefficient, and matching data with an appropriate regression model.
• Probability: single and compound events, Venn diagrams, conditional probability, and independent events.
1.
Preliminaries
61 topics
1.1. Addition and Subtraction of Rational Numbers
 1.1.1. Subtracting a Positive Number From a Smaller Positive Number 1.1.2. Subtracting a Positive Number From a Negative Number 1.1.3. Subtracting a Positive Fraction From a Smaller Fraction 1.1.4. Subtracting a Positive Decimal From a Smaller Decimal 1.1.5. Adding a Positive Number to a Negative Number 1.1.6. Adding a Negative Number 1.1.7. Subtracting a Negative Number 1.1.8. Additive Inverses of Numbers 1.1.9. Solving Problems Using Addition and Subtraction of Rational Numbers
1.2. Multiplication and Division of Rational Numbers
 1.2.1. Multiplying Positive Numbers With Negative Numbers 1.2.2. Multiplying Negative Numbers 1.2.3. Dividing With Negative Numbers 1.2.4. Equivalent Fractions With Negative Numbers 1.2.5. Dividing With Negative Decimals and Fractions 1.2.6. Reciprocals of Rational Numbers 1.2.7. Multiplying and Dividing With Zero 1.2.8. Fractions of Fractions 1.2.9. Solving Problems Using the Four Operations on Rational Numbers
1.3. Exponents
 1.3.1. Squaring Rational Numbers 1.3.2. Cubing Rational Numbers 1.3.3. Exponents With Rational Bases 1.3.4. The Zeroth Power 1.3.5. Powers of Negative One 1.3.6. Negative Exponents 1.3.7. The Product Rule for Exponents 1.3.8. The Quotient Rule for Exponents 1.3.9. The Power Rule for Exponents 1.3.10. The Power of Product Rule for Exponents 1.3.11. The Power of Quotient Rule for Exponents 1.3.12. Combining the Rules of Exponents
 1.4.1. The Square Root of a Perfect Square 1.4.2. Squaring a Square Root 1.4.3. The Cube Root of a Perfect Cube 1.4.4. Surds 1.4.5. Simplifying Expressions With Surds 1.4.6. Evaluating Numerical Expressions Containing Radicals 1.4.7. Adding and Subtracting Radicals 1.4.8. Rationalizing Denominators 1.4.9. Radicals as Fractional Exponents 1.4.10. The Product Rule for Radicals 1.4.11. The Quotient Rule for Radicals
1.5. Order of Operations
 1.5.1. Evaluating Rational Number Expressions Without Exponents 1.5.2. Evaluating Expressions With Positive Integer Exponents 1.5.3. Evaluating Expressions With Integer Exponents
1.6. Algebraic Expressions
 1.6.1. Introduction to Algebraic Expressions 1.6.2. Constructing Algebraic Expressions 1.6.3. Evaluating Linear Expressions 1.6.4. Evaluating Rational Expressions 1.6.5. Identifying Terms in Linear Expressions 1.6.6. Identifying Coefficients and Constants in Linear Expressions 1.6.7. The Greatest Common Factor of Two Linear Expressions
1.7. Simplifying Linear Expressions
 1.7.1. Identifying Like Terms in a Linear Expression 1.7.2. Collecting Like Terms in a Linear Expression 1.7.3. Applying the Distributive Law With Linear Expressions 1.7.4. The Distributive Law With Three Terms 1.7.5. Distributing the Negative Sign in a Linear Expression 1.7.6. Simplifying Linear Expressions Using the Distributive Law 1.7.7. Simplifying Linear Expressions When a Group of Terms Is Subtracted 1.7.8. Simplifying Linear Expressions Containing Fractions 1.7.9. Factoring Numerical Expressions 1.7.10. Factoring Linear Expressions
2.
Algebra - Linear Equations in One Variable
20 topics
2.8. Solving Linear Equations
 2.8.1. Solving Linear Equations by Trial and Error 2.8.2. Solving One-Step Addition and Subtraction Equations 2.8.3. Solving One-Step Multiplication and Division Equations 2.8.4. Solving Two-Step Equations 2.8.5. Solving Linear Equations With Fractional Coefficients 2.8.6. Solving Linear Equations With Decimal Coefficients 2.8.7. Solving Linear Equations With Variables on Both Sides 2.8.8. Solving Linear Equations by Clearing a Rational Expression 2.8.9. Solving Linear Equations Using Cross-Multiplication 2.8.10. Solving Two-Variable Equations 2.8.11. Equations With Many Solutions and No Solutions 2.8.12. Solving Linear Equations With Unknown Coefficients 2.8.13. Solving Linear Equations With Unknown Coefficients by Factoring 2.8.14. Solving Linear Inequalities With Unknown Parameters 2.8.15. Solving Many-Variable Equations
2.9. Modeling With Linear Equations
 2.9.1. Interpreting Linear Expressions 2.9.2. Modeling With Linear Equations 2.9.3. Consecutive Integer Problems 2.9.4. Speed, Distance, Time Problems 2.9.5. Further Speed, Distance, Time Problems
3.
Algebra - Linear Equations in Two Variables
33 topics
3.10. Graphs of Linear Equations
 3.10.1. The Cartesian Coordinate System 3.10.2. Distances Between Points in the Coordinate Plane 3.10.3. Two-Variable Linear Equations and Their Solutions 3.10.4. Graphing Linear Equations 3.10.5. Horizontal and Vertical Lines 3.10.6. Calculating Slopes of Straight Lines 3.10.7. Equations of Lines in Slope-Intercept Form 3.10.8. Finding Properties of Lines Given in Slope-Intercept Form 3.10.9. Equations of Lines in Point-Slope Form 3.10.10. Equations of Lines in Standard Form 3.10.11. Determining Properties of Lines Given in Standard Form 3.10.12. Parallel Lines in the Coordinate Plane 3.10.13. Finding the Equation of a Parallel Line 3.10.14. Perpendicular Lines in the Coordinate Plane 3.10.15. Finding Equations of Perpendicular Lines
3.11. Modeling With Two-Variable Linear Equations
 3.11.1. Modeling With Linear Equations in Two Variables 3.11.2. Further Modeling With Linear Equations in Two Variables 3.11.3. Analyzing and Interpreting Graphs of Linear Equations 3.11.4. Distance-Time Graphs 3.11.5. Calculating Acceleration From a Speed-Time Graph 3.11.6. Calculating Distance From a Speed-Time Graph
3.12. Systems of Equations
 3.12.1. Introduction to Systems of Linear Equations 3.12.2. Solving Systems of Linear Equations Using Substitution 3.12.3. Introduction to the Elimination Method 3.12.4. Solving Systems of Linear Equations Using Elimination: One Transformation 3.12.5. Solving Systems of Linear Equations Using Elimination: Two Transformations 3.12.6. Systems of Linear Equations With Fractional Coefficients 3.12.7. Systems of Linear Equations With Decimal Coefficients 3.12.8. Systems of Equations With No Solutions and Infinitely Many Solutions 3.12.9. Calculating the Intersection of Two Lines 3.12.10. Modeling Number Problems Using Systems of Linear Equations 3.12.11. Modeling Coin Problems Using Systems of Linear Equations 3.12.12. Solving Systems of Nonlinear Equations Using Graphs
4.
Algebra - Linear Inequalities
20 topics
4.13. Linear Inequalities
 4.13.1. Inequalities 4.13.2. Compound Inequalities 4.13.3. Verifying Solutions of Linear Inequalities 4.13.4. Solving One-Step Linear Inequalities 4.13.5. Solving Two-Step Inequalities 4.13.6. Representing Solutions to Inequalities on Number Lines 4.13.7. Further Solving Linear Inequalities 4.13.8. Solving Compound Inequalities 4.13.9. Interval Notation 4.13.10. Unbounded Intervals 4.13.11. Unions of Intervals 4.13.12. Intersections of Intervals 4.13.13. Introduction to Modeling With Inequalities 4.13.14. Modeling With One-Step Inequalities 4.13.15. Modeling With Two-Step Inequalities
4.14. Two-Variable Linear Inequalities
 4.14.1. Graphing Strict Two-Variable Linear Inequalities 4.14.2. Graphing Non-Strict Two-Variable Linear Inequalities 4.14.3. Further Graphing of Two-Variable Linear Inequalities 4.14.4. Solving Systems of Linear Inequalities 4.14.5. Modeling With Two-Variable Linear Inequalities
5.
Geometry - Points, Lines, & Angles
25 topics
5.15. Introduction to Geometry
 5.15.1. Units of Area and Volume 5.15.2. Points, Lines, Rays, and Segments 5.15.3. Parallel and Perpendicular Lines 5.15.4. Measures of Segments 5.15.5. Congruent Segments 5.15.6. Midpoints 5.15.7. Collinear Points 5.15.8. The Segment Addition Postulate
5.16. Angles
 5.16.1. Angles and Measures of Angles 5.16.2. Connecting Angles and Circles 5.16.3. Measuring Angles Using a Protractor 5.16.4. Sums of Angles 5.16.5. Right, Straight, Full, and Null Angles 5.16.6. Acute, Obtuse, and Reflex Angles 5.16.7. Congruent Angles 5.16.8. Vertical Angles 5.16.9. Solving Problems With Angles
 5.17.1. Complementary Angles 5.17.2. Supplementary Angles 5.17.3. Corresponding Angles 5.17.4. Alternate Angles 5.17.5. Consecutive Angles 5.17.6. Angle Criteria for Parallel Lines 5.17.7. Angle Bisectors 5.17.8. Segment Bisectors
6.
Geometry - Polygons & Solids
16 topics
6.18. Triangles
 6.18.1. Interior Angles of Triangles 6.18.2. Exterior Angles of Triangles 6.18.3. Problem Solving With Angles of Triangles 6.18.4. Classifying Triangles 6.18.5. The Isosceles Triangle Theorem 6.18.6. Heights of Triangles
6.19. Polygons
 6.19.1. Polygons 6.19.2. Interior Angles of Polygons 6.19.3. Exterior Angles of Polygons 6.19.4. Congruent Polygons 6.19.5. Regular Polygons 6.19.6. Properties of Rectangles and Squares
6.20. Solid Geometry
 6.20.1. Identifying Three-Dimensional Shapes 6.20.2. Faces, Vertices, and Edges of Polyhedrons 6.20.3. Nets of Polyhedrons 6.20.4. Finding Surface Areas Using Nets
7.
Geometry - Congruence & Similarity
13 topics
7.21. Congruence
 7.21.1. The ASA Congruence Criterion 7.21.2. The AAS Congruence Criterion 7.21.3. The SAS Congruence Criterion 7.21.4. The SSS Congruence Criterion 7.21.5. The HL Congruence Criterion
7.22. Similarity
 7.22.1. Similarity and Similar Polygons 7.22.2. Side Lengths and Angle Measures of Similar Polygons 7.22.3. Areas of Similar Polygons 7.22.4. The AA Similarity Criterion 7.22.5. The SSS Similarity Criterion 7.22.6. The SAS Similarity Criterion 7.22.7. The Midpoint Theorem 7.22.8. The Triangle Proportionality Theorem
8.
Geometry - Length, Area & Volume
19 topics
8.23. Perimeter & Area of Plane Figures
 8.23.1. The Perimeter of a Polygon 8.23.2. Areas of Rectangles and Squares 8.23.3. Areas of Parallelograms 8.23.4. Areas of Triangles 8.23.5. Areas of Trapezoids 8.23.6. Areas and Perimeters of Composite Shapes 8.23.7. The Area Between Two Shapes
8.24. Coordinate Geometry
 8.24.1. Midpoints in the Coordinate Plane 8.24.2. The Distance Formula 8.24.3. Calculating Perimeters in the Plane 8.24.4. Calculating Areas of Rectangles in the Plane
8.25. Surface Area and Volume
 8.25.1. Surface Areas of Cubes 8.25.2. Surface Areas of Rectangular Solids 8.25.3. Volumes of Rectangular Solids 8.25.4. Volumes of Cylinders 8.25.5. Volumes of Spheres 8.25.6. Slant Heights of Right Cones 8.25.7. Volumes of Right Cones 8.25.8. Volumes of Pyramids
9.
Geometry - Circles
19 topics
9.26. Circles
 9.26.1. Circles 9.26.2. Arcs, Segments, and Sectors of Circles 9.26.3. The Circumference of a Circle 9.26.4. Areas of Circles 9.26.5. Central Angles and Arcs 9.26.6. Calculating Arc Lengths of Circular Sectors 9.26.7. Calculating Areas of Circular Sectors 9.26.8. Further Calculating Areas of Sectors 9.26.9. Problem Solving With Circles 9.26.10. Tangent Lines to Circles
9.27. Circles in the Coordinate Plane
 9.27.1. Circles in the Coordinate Plane 9.27.2. Equations of Circles Centered at the Origin 9.27.3. Equations of Circles 9.27.4. Determining Properties of Circles by Completing the Square 9.27.5. Calculating Circle Intercepts 9.27.6. Intersections of Circles with Lines
 9.28.1. Introduction to Radians 9.28.2. Calculating Arc Length Using Radians 9.28.3. Calculating Areas of Sectors Using Radians
10.
Trigonometry
19 topics
10.29. Right Triangles
 10.29.1. The Pythagorean Theorem 10.29.2. The 45-45-90 Triangle 10.29.3. The 30-60-90 Triangle 10.29.4. The Area of a 45-45-90 Triangle 10.29.5. The Area of a 30-60-90 Triangle 10.29.6. The Area of an Equilateral Triangle 10.29.7. Diagonals of Squares
10.30. Trigonometry
 10.30.1. Angles and Sides in Right Triangles 10.30.2. The Trigonometric Ratios 10.30.3. Calculating Trigonometric Ratios Using the Pythagorean Theorem 10.30.4. Calculating Side Lengths of Right Triangles Using Trigonometry 10.30.5. Calculating Angles in Right Triangles Using Trigonometry 10.30.6. Modeling With Trigonometry 10.30.7. The Reciprocal Trigonometric Ratios 10.30.8. Trigonometric Ratios in Similar Right Triangles 10.30.9. Trigonometric Functions of Complementary Angles 10.30.10. Special Trigonometric Ratios 10.30.11. Calculating the Area of a Right Triangle Using Trigonometry 10.30.12. Solving Multiple Right Triangles Using Trigonometry
11.
18 topics
11.31. Functions
 11.31.1. Introduction to Functions 11.31.2. Visual Representations of Functions 11.31.3. Graphs of Functions 11.31.4. The Domain of a Function 11.31.5. The Vertical Line Test 11.31.6. Global Extrema of Functions 11.31.7. Local Extrema of Functions 11.31.8. End Behavior of Functions 11.31.9. The Range of a Function 11.31.10. The Range of a Function: Advanced Cases 11.31.11. The Roots of a Function 11.31.12. Increasing and Decreasing Functions 11.31.13. Piecewise Functions 11.31.14. Modeling With Linear Functions 11.31.15. The Arithmetic of Functions 11.31.16. Function Composition 11.31.17. Describing Function Composition 11.31.18. Introduction to Inverse Functions
12.
10 topics
12.32. Absolute Value Expressions and Equations
 12.32.1. Absolute Value Expressions 12.32.2. Rules of Absolute Value 12.32.3. Further Rules of Absolute Value 12.32.4. Absolute Value Equations 12.32.5. Further Absolute Value Equations
12.33. Absolute Value Functions
 12.33.1. Absolute Value Graphs 12.33.2. Vertical Reflections of Absolute Value Graphs 12.33.3. Stretches of Absolute Value Graphs 12.33.4. Combining Transformations of Absolute Value Graphs 12.33.5. Roots of Absolute Value Functions
13.
57 topics
13.34. Polynomials
 13.34.1. Introduction to Polynomials 13.34.2. The Degree of a Polynomial 13.34.3. Simplifying Polynomials 13.34.4. The Distributive Law for Polynomials 13.34.5. Adding and Subtracting Polynomials 13.34.6. Monomials, Binomials and Trinomials 13.34.7. Multiplying Binomials 13.34.8. Multiplying Polynomials 13.34.9. Squaring Binomials 13.34.10. The Difference of Squares Formula
13.35. Factoring Polynomials
 13.35.1. The Greatest Common Factor of Two Monomials 13.35.2. Factoring Simple Polynomials Using Greatest Common Factors 13.35.3. Factoring Perfect Square Trinomials 13.35.4. Factoring Perfect Square Trinomials With Leading Coefficients 13.35.5. Factoring Differences of Squares 13.35.6. Factoring Trinomials 13.35.7. Factoring Trinomials Using Common Factors 13.35.8. Factoring Trinomials With Leading Coefficients 13.35.9. Further Factoring Trinomials With Leading Coefficients
 13.37.1. Graphing Elementary Quadratic Functions 13.37.2. Vertical Reflections of Quadratic Functions 13.37.3. Graphs of General Quadratic Functions 13.37.4. Roots of Quadratic Functions 13.37.5. The Discriminant of a Quadratic Function 13.37.6. The Axis of Symmetry of a Parabola 13.37.7. The Average of the Roots Formula 13.37.8. The Vertex Form of a Parabola 13.37.9. Writing the Equation of a Parabola in Vertex Form 13.37.10. Finding Intersections of Lines and Quadratic Functions
 13.38.1. Modeling Downwards Vertical Motion 13.38.2. Modeling Upwards Vertical Motion 13.38.3. Vertical Motion 13.38.4. Revenue, Cost, and Profit Functions
13.39. Polynomial Expressions & Equations
 13.39.1. Factoring Polynomials Using the GCF 13.39.2. Factoring Higher-Order Polynomials as a Difference of Squares 13.39.3. Factoring Cubic Expressions by Grouping 13.39.4. Determining the Roots of Polynomials 13.39.5. Solving Polynomial Equations Using the GCF 13.39.6. Solving Cubic Equations by Grouping
14.
Advanced Algebra - Exponential Equations & Functions
25 topics
14.40. Exponential Expressions & Equations
 14.40.1. Writing Radical Expressions Using Fractional Exponents 14.40.2. The Product Rule for Exponents With Algebraic Expressions 14.40.3. The Quotient Rule for Exponents With Algebraic Expressions 14.40.4. The Power Rule for Exponents With Algebraic Expressions 14.40.5. The Power of Product Rule With Algebraic Expressions 14.40.6. The Power of Quotient Rule With Algebraic Expressions 14.40.7. Combining the Rules of Exponents With Algebraic Expressions 14.40.8. Solving Exponential Equations 14.40.9. Solving Exponential Equations with Fractional Solutions 14.40.10. Creating Exponential Growth Expressions 14.40.11. Creating Exponential Decay Expressions
14.41. Exponential Functions
 14.41.1. Exponential Functions 14.41.2. Modeling Exponential Growth With Functions 14.41.3. Interpreting Exponential Growth 14.41.4. Solving Exponential Growth Problems 14.41.5. Modeling Exponential Decay With Functions 14.41.6. Interpreting Exponential Decay 14.41.7. Solving Exponential Decay Problems 14.41.8. Linear vs. Exponential Growth and Decay 14.41.9. Linear vs. Exponential Growth and Decay Models
14.42. Graphs of Exponential Functions
 14.42.1. Graphing Exponential Growth Functions 14.42.2. Graphing Exponential Decay Functions 14.42.3. Vertical Translations of Exponential Growth Functions 14.42.4. Vertical Translations of Exponential Decay Functions 14.42.5. Interpreting Graphs of Exponential Functions
15.
22 topics
15.43. Rational Expressions
 15.43.1. Equivalent Expressions With Fractions 15.43.2. Simplifying Rational Expressions 15.43.3. Simplifying Rational Expressions by Factoring 15.43.4. Simplifying Rational Expressions Using Polynomial Factorization 15.43.5. Splitting Rational Expressions Into Separate Terms 15.43.6. Adding and Subtracting Rational Expressions 15.43.7. Adding Rational Expressions With No Common Factors in the Denominator 15.43.8. Multiplying Rational Expressions 15.43.9. Dividing Rational Expressions
15.44. Rational Equations
 15.44.1. Solving Rational Equations Containing One Fractional Term 15.44.2. Solving Rational Equations Using Cross-Multiplication 15.44.3. Solving Rational Equations Containing Binomials Using Cross-Multiplication 15.44.4. Solving Rational Equations Using the Flip Method
 15.45.1. The Square Root of a Perfect Square With Algebraic Expressions 15.45.2. The Square Root of a Perfect Square With Domain Restrictions 15.45.3. The Cube Root of a Perfect Cube With Algebraic Expressions 15.45.4. Simplifying Square Root Expressions Using the Product Rule 15.45.5. Combining Radical Expressions Using the Product Rule 15.45.6. Simplifying Square Root Expressions Using the Quotient Rule 15.45.7. Evaluating Algebraic Radical Expressions 15.45.8. Adding and Subtracting Radical Expressions 15.45.9. Solving Radical Equations
16.
Problem Solving - Ratios & Percentages
35 topics
16.46. Ratios
 16.46.1. Introduction to Ratios 16.46.2. Equivalent Ratios 16.46.3. Writing Ratios Using Fractions 16.46.4. Working With Equivalent Ratios 16.46.5. More on Equivalent Ratios 16.46.6. Ratio Tables 16.46.7. Graphing Ratios
16.47. Unit Rates
 16.47.1. Unit Rates 16.47.2. Solving Problems Using Unit Rates 16.47.3. Speed as a Unit Rate 16.47.4. Calculating Unit Rates Associated With Ratios of Fractions 16.47.5. Solving Unit Rate Problems Using Ratios of Fractions
16.48. Proportional Relationships
 16.48.1. Understanding Proportional Relationships Using Tables 16.48.2. Understanding Proportional Relationships Using Graphs 16.48.3. Understanding Proportional Relationships From Descriptions 16.48.4. Modeling with Direct Variation
16.49. Percentages
 16.49.1. Understanding Percentages Using Models 16.49.2. Converting Between Percentages and Fractions 16.49.3. Converting Between Percentages and Decimals 16.49.4. Finding Part of a Number Given a Whole and a Percentage 16.49.5. Finding Part of a Number Given a Whole and a Percentage: Word Problems 16.49.6. Finding a Percentage Given Two Numbers 16.49.7. Finding a Percentage Given Two Numbers: Word Problems 16.49.8. Finding a Total Given a Part and a Percentage 16.49.9. Percentage Increase, Decrease, and Error
16.50. Units
 16.50.1. Unit Conversions Using Base Units of Mass 16.50.2. Two-Step Unit Conversions 16.50.3. Unit Conversions Using Base Units of Length 16.50.4. Unit Conversions Using Units of Time 16.50.5. Converting Units of Area to Smaller Units 16.50.6. Converting Units of Area to Larger Units 16.50.7. Determining Units in Formulas 16.50.8. Selecting Units for Rates of Change 16.50.9. Converting Between Mixed Units 16.50.10. Degrees of Accuracy
17.
Data Analysis - Statistics & Probability
42 topics
17.51. Summarizing Data
 17.51.1. Introduction to Statistics 17.51.2. The Mean of a Data Set 17.51.3. The Median of a Data Set 17.51.4. The Mode of a Data Set 17.51.5. Range, Quartiles and Interquartile Range 17.51.6. Mean Absolute Deviation 17.51.7. Comparing Data Sets Using Measures of Centrality 17.51.8. Comparing Data Sets Using Measures of Spread 17.51.9. Outliers 17.51.10. Removing Outliers
17.52. Representing Data
 17.52.1. Frequency Tables 17.52.2. Dot Plots 17.52.3. Measuring Centrality Using Dot Plots 17.52.4. Measuring Range and MAD From Dot Plots 17.52.5. Measuring Quartiles and IQR From Dot Plots 17.52.6. Interpreting Shapes of Distributions Using Dot Plots 17.52.7. Box Plots 17.52.8. Histograms 17.52.9. Comparing Measures of Center 17.52.10. Comparing Measures of Spread
17.53. Correlation
 17.53.1. Scatter Plots 17.53.2. Trend Lines 17.53.3. Making Predictions Using Trend Lines 17.53.4. Interpreting Trend Line Coefficients 17.53.5. Linear Correlation 17.53.6. Selecting a Regression Model
17.54. Introduction to Probability
 17.54.1. Sets 17.54.2. Probability From Experimental Data 17.54.3. Sample Spaces and Events in Probability 17.54.4. Single Events in Probability 17.54.5. The Complement of an Event 17.54.6. Venn Diagrams in Probability 17.54.7. Geometric Probability
17.55. Compound Events in Probability
 17.55.1. The Union of Sets 17.55.2. The Intersection of Sets 17.55.3. Compound Events in Probability From Experimental Data 17.55.4. Computing Probabilities for Compound Events Using Venn Diagrams 17.55.5. Computing Probabilities of Events Containing Complements Using Venn Diagrams 17.55.6. Conditional Probabilities From Venn Diagrams 17.55.7. Conditional Probabilities From Tables 17.55.8. The Multiplication Law for Conditional Probability 17.55.9. Independent Events