This class was created by Brainscape user Irina Soloshenko. Visit their profile to learn more about the creator.

Flashcard maker: Irina Soloshenko

Decks in this class (300)

1.1.1 The Top Ten List of Mistakes
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1  cards
1.2.1 Concepts of Inequality
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14  cards
1.2.2 Inequalities and Interval Notation
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5  cards
1.3.1 Properties of Absolute Value
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2  cards
1.3.2 Evaluating Absolute Value Expressions
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2  cards
1.4.1 An Introduction to Exponents
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3  cards
1.4.2 Evaluating Exponential Expressions
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3  cards
1.4.3 Applying the Rules of Exponents
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10  cards
1.4.4 Evaluating Expressions with Negative Exponents
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3  cards
1.5.1 Converting between Decimal and Scientific Notation
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1.5.2 Converting Rational Exponents and Radicals
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1.6.1 Simplifying Radical Expressions
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1.6.2 Simplifying Radical Expressions with Variables
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4  cards
1.6.3 Rationalizing Denominators
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4  cards
1.7.1 Determining Components and Degree
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3  cards
1.7.2 Adding, Subtracting, and Multiplying Polynomials
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1.7.3 Multiplying Big Products
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1.7.4 Using Special Products
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4  cards
1.8.1 Factoring Using the Greatest Common Factor
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1.8.2 Factoring by Grouping
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1.8.3 Factoring Trinomials Completely
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1.8.4 Factoring Trinomials: The Grouping Method
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1.9.1 Factoring Perfect Square Trinomials
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1.9.2 Factoring the Difference of Two Squares
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1.9.3 Factoring the Sums and Differences of Cubes
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1.9.4 Factoring by Any Method
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1.10.1 Rational Expressions and Domain
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1.10.2 Working with Fractions
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1.10.3 Writing Rational Expressions in Lowest Terms
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1.11.1 Multiplying and Dividing Rational Expressions
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1.11.2 Adding and Subtracting Rational Expressions
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1.11.3 Rewriting Complex Fractions
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1.12.1 Introducing and Writing Complex Numbers
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1.12.2 Rewriting Powers of i
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1.12.3 Adding and Subtracting Complex Numbers
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1.12.4 Multiplying Complex Numbers
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1.12.5 Dividing Complex Numbers
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2.1.1 An Introduction to Solving Equations
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6  cards
2.1.2 Solving a Linear Equation
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2.1.3 Solving a Linear Equation with Rationals
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2.1.4 Solving a Linear Equation That Has Restrictions
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2.2.1 An Introduction to Solving Word Problems
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2.2.2 Solving for Perimeter
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2.2.3 Solving a Linear Geometry Problem
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2.2.4 Solving for Consecutive Numbers
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2.2.5 Solving to Find the Average
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2.3.1 Solving for Constant Velocity
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2.3.2 Solving a Problem about Work
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2.3.3 Solving a Mixture Problem
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2.3.4 Solving an Investment Problem
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2.3.5 Solving Business Problems
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2.4.1 Solving Quadratics by Factoring
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2.4.2 Solving Quadratics by Completing the Square
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2.4.3 Completing the Square: Another Example
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2.5.1 Proving the Quadratic Formula
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2.5.2 Using the Quadratic Formula
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2.5.3 Predicting the Type of Solutions Using the Discriminant
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2.6.1 Solving for a Squared Variable
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2.6.2 Finding Real Number Restrictions
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2.6.3 Solving Fancy Quadratics
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2.7.1 An Introduction to Word Problems with Quadratics
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2.7.2 Solving a Quadratic Geometry Problem
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2.7.3 Solving with the Pythagorean Theorem
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2.7.4 The Pythagorean Theorem: Another Example
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2.8.1 Solving a Motion Problem
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2.8.2 Solving a Projectile Problem
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2.8.3 Solving Other Problems
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2.9.1 Determining Extraneous Roots
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2.9.2 Solving an Equation Containing a Radical
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2.9.3 Solving an Equation with Two Radicals
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2.9.4 Solving an Equation with Rational Exponents
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2.10.1 An Introduction to Variation
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7  cards
2.10.2 Direct Proportion
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2.10.3 Inverse Proportion
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2.11.1 An Introduction to Solving Inequalities
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8  cards
2.11.2 Solving Compound Inequalities
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2.11.3 More on Compound Inequalities
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2.11.4 Solving Word Problems Involving Inequalities
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2.12.1 Solving Quadratic Inequalities
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2.12.2 Solving Quadratic Inequalities: Another Example
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2.13.1 Solving Rational Inequalities
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2.13.2 Solving Rational Inequalities: Another Example
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2.13.3 Determining the Domains of Expressions with Radicals
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2.14.1 Matching Number Lines with Absolute Values
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2.14.2 Solving Absolute Value Equations
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2.14.3 Solving Equations with Two Absolute Value Expressions
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2.14.4 Solving Absolute Value Inequalities
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2.14.5 Solving Absolute Value Inequalities: More Examples
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1  cards
3.1.1 Using the Cartesian System
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6  cards
3.1.2 Thinking Visually
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9  cards
3.2.1 Finding the Distance between Two Points
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3.2.2 Finding the Second Endpoint of a Segment
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3.3.1 Collinearity and Distance
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3.3.2 Triangles
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3.4.1 Finding the Center-Radius Form of the Equation of a Circle
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3.4.2 Finding the Center and Radius of a Circle
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3.4.3 Decoding the Circle Formula
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3.4.4 Solving Word Problems Involving Circles
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3.5.1 Graphing Equations by Locating Points
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3.5.2 Finding the x- and y-Intercepts of an Equation
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2  cards
3.6.1 Functions and the Vertical Line Test
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3.6.2 Identifying Functions
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3.6.3 Function Notation and Finding Function Values
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3.7.1 Determining Intervals Over Which a Function Is Increasing
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5  cards
3.7.2 Evaluating Piecewise-Defined Functions for Given Values
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3.7.3 Solving Word Problems Involving Functions
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3.8.1 Finding the Domain and Range of a Function
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2  cards
3.8.3 Satisfying the Domain of a Function
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3.9.1 An Introduction to Slope
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3.9.2 Finding the Slope of a Line Given Two Points
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3.9.3 Interpreting Slope from a Graph
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4  cards
3.9.4 Graphing a Line Using Point and Slope
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2  cards
3.10.1 Writing an Equation in Slope-Intercept Form
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3.10.2 Writing an Equation Given Two Points
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3.10.3 Writing an Equation in Point-Slope Form
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3.10.4 Matching a Slope-Intercept Equation with Its Graph
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3.10.5 Slope for Parallel and Perpendicular Lines
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2  cards
3.11.1 Constructing Linear Function Models of Data
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3.11.2 Linear Cost and Revenue Functions
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3.12.1 Graphing Some Important Functions
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3.12.2 Graphing Piecewise-Defined Functionsv
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3.12.3 Matching Equations with Their Graphs
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3.13.1 The Greatest Integer Function
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3.13.2 Graphing the Greatest Integer Function
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3.14.1 Deconstructing the Graph of a Quadratic Function
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3.14.2 Nice-Looking Parabolas
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3.14.3 Using Discriminants to Graph Parabolas
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3.14.4 Maximum Height in the Real World
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3.15.1 Finding the Vertex by Completing the Square
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3.15.2 Using the Vertex to Write the Quadratic Equation
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3.15.3 Finding the Maximum or Minimum of a Quadratic
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3.15.4 Graphing Parabolas
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3.16.1 Shifting Curves along Axes
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3.16.2 Shifting or Translating Curves along Axes
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3.16.3 Stretching a Graph
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3.16.4 Graphing Quadratics Using Patterns
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3.17.1 Determining Symmetry
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3.17.2 Reflections
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3.17.3 Reflecting Specific Functions
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3.18.1 Using Operations on Functions
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3.18.2 Composite Functions
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3.18.3 Components of Composite Functions
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3.18.4 Finding Functions That Form a Given Composite
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3.18.5 Finding the Difference Quotient of a Function
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4.1.1 Using Long Division with Polynomials
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4.1.2 Long Division: Another Example
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4.2.1 Using Synthetic Division with Polynomials
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4.2.2 More Synthetic Division
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4.3.1 The Remainder Theorem
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4.3.2 More on the Remainder Theorem
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4.4.1 The Factor Theorem and Its Uses
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4.4.2 Factoring a Polynomial Given a Zero
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4.5.1 Presenting the Rational Zero Theorem
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4.5.2 Considering Possible Solutions
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4.6.1 Finding Polynomials Given Zeros, Degree, and One Point
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4.6.2 Finding all Zeros and Multiplicities of a Polynomial
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4.6.3 Finding the Real Zeros for a Polynomial
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4.6.4 Using Descartes' Rule of Signs
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4.6.5 Finding the Zeros of a Polynomial from Start to Finish
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4.7.1 Matching Graphs to Polynomial Functions
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4.7.2 Sketching the Graphs of Basic Polynomial Functions
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4.8.1 Understanding Rational Functions
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4.8.2 Basic Rational Functions
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4.9.1 Vertical Asymptotes
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4.9.2 Horizontal Asymptotes
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4.9.3 Graphing Rational Functions
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4.9.4 Graphing Rational Functions: More Examples
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4.9.5 Oblique Asymptotes
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4.9.6 Oblique Asymptotes: Another Example
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5.1.1 Understanding Inverse Functions
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5.1.2 The Horizontal Line Test
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2  cards
5.1.3 Are Two Functions Inverses of Each Other?
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5.1.4 Graphing the Inverse
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5.2.1 Finding the Inverse of a Function
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5.2.2 Finding the Inverse of a Function with Higher Powers
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5.3.1 An Introduction to Exponential Functions
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5.3.2 Graphing Exponential Functions: Useful Patterns
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5.3.3 Graphing Exponential Functions: More Examples
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1  cards
5.4.1 Using Properties of Exponents to Solve Exponential Equations
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1  cards
5.4.2 Finding Present Value and Future Value
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5.4.3 Finding an Interest Rate to Match Given Goals
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5.5.1 e
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5.5.2 Applying Exponential Functions
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5.6.1 An Introduction to Logarithmic Functions
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1  cards
5.6.2 Converting between Exponential and Logarithmic Functions
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5.7.1 Finding the Value of a Logarithmic Function
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5.7.2 Solving for x in Logarithmic Equations
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5.7.3 Graphing Logarithmic Functions
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5.7.4 Matching Logarithmic Functions with Their Graphs
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5.8.1 Properties of Logarithms
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5.8.2 Expanding a Logarithmic Expression Using Properties
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5.8.3 Combining Logarithmic Expressions
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5.9.1 Evaluating Logarithmic Functions Using a Calculator
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5.9.2 Using the Change of Base Formula
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5.10.1 The Richter Scale
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5.10.2 The Distance Modulus Formula
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5.11.1 Solving Exponential Equations
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5.11.2 Solving Logarithmic Equations
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5.11.3 Solving Equations with Logarithmic Exponents
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5.12.1 Compound Interest
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5.12.2 Predicting Change
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5.13.1 An Introduction to Exponential Growth and Decay
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5.13.2 Half-Life
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5.13.3 Newton's Law of Cooling
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5.13.4 Continuously Compounded Interest
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6.1.1 Finding the Quadrant in Which an Angle Lies
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6.1.2 Finding Coterminal Angles
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6.1.3 Finding the Complement and Supplement of an Angle
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6.1.4 Converting between Degrees and Radians
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6.1.5 Using the Arc Length Formula
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6.2.1 An Introduction to the Trigonometric Functions
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6.2.2 Evaluating Trigonometric Functions for an Angle in a Right Triangle
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6.2.3 Finding an Angle Given the Value of a Trigonometric Function
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6.2.4 Using Trigonometric Functions to Find Unknown Sides of Right Triangles
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6.2.5 Finding the Height of a Building
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6.3.1 Evaluating Trigonometric Functions for an Angle in the Coordinate Plane
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6.3.2 Evaluating Trigonometric Functions Using the Reference Angle
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6.3.3 Finding the Value of Trigonometric Functions Given Information about the Values of Other Trigonometric Functions
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6.3.4 Trigonometric Functions of Important Angles
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6.4.1 An Introduction to the Graphs of Sine and Cosine Functions
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6.4.2 Graphing Sine or Cosine Functions with Different Coefficients
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6.4.3 Finding Maximum and Minimum Values and Zeros of Sine and Cosine
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6.4.4 Solving Word Problems Involving Sine or Cosine Functions
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6.5.1 Graphing Sine and Cosine Functions with Phase Shifts
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6.5.2 Fancy Graphing: Changes in Period, Amplitude, Vertical Shift, and Phase Shift
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6.6.1 Graphing the Tangent, Secant, Cosecant, and Cotangent Functions
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6.6.2 Fancy Graphing: Tangent, Secant, Cosecant, and Cotangent
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6.6.3 Identifying a Trigonometric Function from its Graph
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6.7.1 An Introduction to Inverse Trigonometric Functions
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6.7.2 Evaluating Inverse Trigonometric Functions
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6.7.3 Solving an Equation Involving an Inverse Trigonometric Function
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6.7.4 Evaluating the Composition of a Trigonometric Function and Its Inverse
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6.7.5 Applying Trigonometric Functions: Is He Speeding?
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7.1.1 Fundamental Trigonometric Identities
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7.1.2 Finding All Function Values
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7.2.1 Simplifying a Trigonometric Expression Using Trigonometric Identities
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7.2.2 Simplifying Trigonometric Expressions Involving Fractions
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7.2.3 Simplifying Products of Binomials Involving Trigonometric Functions
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7.2.4 Factoring Trigonometric Expressions
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7.2.5 Determining Whether a Trigonometric Function Is Odd, Even, or Neither
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7.3.1 Proving an Identity
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7.3.2 Proving an Identity: Other Examples
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7.4.1 Solving Trigonometric Equations
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7.4.2 Solving Trigonometric Equations by Factoring
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7.4.3 Solving Trigonometric Equations with Coefficients in the Argument
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7.4.4 Solving Trigonometric Equations Using the Quadratic Formula
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7.4.5 Solving Word Problems Involving Trigonometric Equations
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7.5.1 Identities for Sums and Differences of Angles
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7.5.2 Using Sum and Difference Identities
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7.5.3 Using Sum and Difference Identities to Simplify an Expression
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7.6.1 Confirming a Double-Angle Identity
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7.6.2 Using Double-Angle Identities
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7.6.3 Solving Word Problems Involving Multiple-Angle Identities
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7.7.1 Using a Cofunction Identity
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7.7.2 Using a Power-Reducing Identity
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7.7.3 Using Half-Angle Identities to Solve a Trigonometric Equation
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8.1.1 The Law of Sines
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8.1.2 Solving a Triangle Given Two Sides and One Angle
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8.1.3 Solving a Triangle (SAS): Another Example
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8.1.4 The Law of Sines: An Application
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8.2.1 The Law of Cosines
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8.2.2 The Law of Cosines (SSS)
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8.2.3 The Law of Cosines (SAS): An Application
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8.2.4 Heron's Formula
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8.3.1 An Introduction to Vectors
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8.3.2 Finding the Magnitude and Direction of a Vector
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8.3.3 Vector Addition and Scalar Multiplication
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8.4.1 Finding the Components of a Vector
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8.4.2 Finding a Unit Vector
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8.4.3 Solving Word Problems Involving Velocity or Forces
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8.5.1 Graphing a Complex Number and Finding Its Absolute Value
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8.5.2 Expressing a Complex Number in Trigonometric or Polar Form
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8.5.3 Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form
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8.6.1 Using DeMoivre's Theorem to Raise a Complex Number to a Power
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8.6.3 More Roots of Complex Numbers
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8.6.4 Roots of Unity
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8.7.1 An Introduction to Polar Coordinates
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8.7.2 Converting between Polar and Rectangular Coordinates
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8.7.3 Converting between Polar and Rectangular Equations
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8.7.4 Graphing Simple Polar Equations
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8.7.5 Graphing Special Polar Equations
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9.1.1 An Introduction to Linear Systems
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9.1.2 Solving a System by Substitution
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9.1.3 Solving a System by Elimination
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9.2.1 An Introduction to Linear Systems in Three Variables
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9.2.2 Solving Linear Systems in Three Variables
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9.2.3 Solving Inconsistent Systems
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9.2.4 Solving Dependent Systems
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9.2.5 Solving Systems with Two Equations
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9.3.1 Investments
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9.3.2 Solving with Partial Fractions
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9.3.3 Partial Fractions: Another Example
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9.4.1 Solving Nonlinear Systems Using Elimination
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9.4.2 Solving Nonlinear Systems by Substitution
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9.5.1 An Introduction to Matrices
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9.5.2 The Arithmetic of Matrices
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9.5.3 Multiplying Matrices by a Scalar
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9.5.4 Multiplying Matrices
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Matrices
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5  cards
Conic Sections
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3  cards

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