Algebra 1 Review Properties of Exponents Lesson 7-1

Affiliate 1: Solving Linear Equations (pp. ane - 40)

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Lesson Tutorials

Section: 1.3b

• Example 1: Solving Absolute Value Equations:
• Example ii: Solving an Absolute Value Equation:
• Instance iii: Solving an Absolute Value Equation (Applicati:

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Affiliate 2: Graphing and Writing Linear Equations (pp. 41 - 102)

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Lesson Tutorials

Section: 2.1

• Example 1: Graphing a Horizontal Line and a Vertical Line:

Section: 2.2

• Instance one: Finding the Gradient of a Line (Formula):
• Example ii: Finding the Slope of a Horizontal Line (Formula):
• Case 3: Finding the Slope of a Vertical Line (Formula):
• Case 4: Finding Slope From a Tabular array (Formula):

Section: 2.2b

• Instance one: Identifying Parallel Lines:
• Instance two: Identifying Perpendicular Lines:

Section: 2.v

• Example 1: Writing Equations in Slope-Intercept Form (using Slope Formula):
• Example two: Writing an Equation of a Horizontal Line (using Slope Formula):
• Example iii: Awarding of Writing an Equation in Slope-Intercept Form (using Slope Formula):

Section: 2.6

• Instance 1: Writing an Equation Using a Gradient and a Bespeak:
• Example ii: Writing an Equation Using Ii Points:
• Example three: Writing an Equation Using a Slope and a Point (Awarding):

Section: 2.6b

• Example ane: Writing an Equation of a Parallel Line:
• Instance 2: Writing an Equation of a Perpendicular Line:

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Chapter 3: Solving Linear Inequalities (pp. 103 - 152)

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Lesson Tutorials

Department: 3.4

• Case ane: Solving an Inequality with No Solution:
• Example ii: Solving a Multi-Step Inequality (Application):

Section: three.4b

• Instance 1: Writing and Graphing Chemical compound Inequalities:
• Example two: Solving a Chemical compound Inequality with "And":
• Example 3: Sloving a Compound Inequality with "Or":
• Case 4: Solving Accented Value Inequalities:
• Example five: Sloving an Absolute Value Inequality:
• Example six: Solving an Absolute Value Inequality (Application):

Department: three.5

• Case 1: Checking Solutions of a Linear Inequality:
• Example two: Graphing Linear Inequalities in One Variable:
• Case 3: Graphing Linear Inequalities in Two Variables:
• Example iv: Graphing Linear Inequalities in Two Variables (Application):

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Chapter 4: Solving Systems of Linear Equations (pp. 153 - 200)

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Lesson Tutorials

Department: 4.1

• Example ane: Solving a System of Linear Equations by Graphing:
• Example 2: Solving a System of Linear Equations past Graphing (Application):

Department: 4.ii

• Example 1: Solving a System of Linear Equations by Commutation:
• Example 2: Solving a Organization of Linear Equations by Substitution (Application):

Section: 4.three

• Case one: Solving a System of Linear Equations by Elimination (add):
• Example 2: Solving a Organization of Linear Equations by Elimination (mult/subt):
• Example iii: Solving a Organization of Linear Equations by Elimination (Application):

Section: 4.4

• Case 1: Solving a System: No Solution:
• Instance two: Solving a Organisation: Infinitely Many Solutions:

Department: four.5

• Example ane: Checking Solutions (System of Linear Inequalities):
• Case ii: Graphing a Organisation of Linear Inequalities:
• Example 3: Graphing a Organization of Linear Inequalities: No Solution:
• Example four: Writing a Arrangement of Linear Inequalities:
• Example 5: Application of Writing and Graphing a System of Linear Inequalities:

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Chapter 5: Linear Functions (pp. 201 - 258)

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Lesson Tutorials

Section: 5.1

• Example i: Finding the Range of a Function (Application):

Section: five.1b

• Example 1: Determining Whether Relations are Functions:
• Instance 2: Using the Vertical Line Examination:

Section: 5.iii

• Example one: Finding a Linear Function Using a Graph (Gradient Formula):
• Example two: Finding a Linear Function Using a Table (Slope Formula):
• Example iii: Application of Identifying Linear Part Patterns (Slope Formula):

Section: 5.4

• Example 1: Evaluating a Function:
• Instance two: Solving for the Contained Variable:
• Example 3: Graphing a Linear Function in Function Notation:
• Example 4: Comparing Graphs of Linear Functions:
• Instance 5: Comparing Graphs of Linear Functions (Application):

Section: v.4b

• Example ane: Graphing a Piecewise Office:
• Example two: Writing a Piecewise Function:
• Example three: Graphing a Footstep Office:
• Example iv: Graphing Absolute Value Functions:
• Case 5: Graphing Absolute Value Functions:

Section: 5.6

• Example 1: Graphing an Arithmetic Sequence (Using Sequence Annotation):
• Example 2: Writing an Equation for an Arithmetics Sequence:
• Instance 3: Writing an Equation for an Arithmetic Sequence (Awarding):

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Chapter vi: Exponential Equations and Functions (pp. 259 - 326)

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Lesson Tutorials

Section: half dozen.1

• Example one: Simplifying Foursquare Roots (Product and Caliber Backdrop):
• Instance 2: Evaluating Foursquare Roots:
• Example 3: Simplifying Radical Expressions:
• Example iv: Simplifying Radical Expressions (Application):

Section: vi.1b

• Example one: Sums and Products of Rational Numbers:
• Example two: Sums and Products of Rational and Irrational Numbers:
• Example three: Sums and Products of Irrational Numbers:

Section: vi.2

• Example 1: Using Properties of Exponents:
• Example ii: Using Properties of Exponents:
• Example 3: Application of Using the Power of a Quotient Property:
• Example iv: Dividing Numbers Written in Scientific Notation (Application):

Section: half-dozen.iii

• Case 1: Finding nth Roots:
• Instance 2: Simplifying Expressions with Rational Exponents:
• Example 3: Using Properties of Exponents (to Simplify Expressions with Rational Exponents):
• Instance 4: Simplifying Expressions with Rational Exponents (Application):

Section: 6.iv

• Case 1: Identifying Functions (Linear or Exponential):
• Example 2: Evaluating Exponential Functions:
• Example 3: Graphing an Exponential Function:
• Example four: Graphing a Vertical Translation (Exponential Part):
• Instance 5: Writing an Exponential Office (Application):

Department: vi.4b

• Example 1: Solving Exponential Equations:
• Example 2: Solving an Equation by Graphing (Exponential):

Section: 6.5

• Example 1: Using an Exponential Growth Part:
• Case 2: Writing a Office (Exponential):
• Case 3: Writing an Exponential Growth Part (Application):

Department: 6.6

• Case one: Identifying Exponential Growth and Decay:
• Case two: Interpreting an Exponential Decay Part:
• Example three: Writing an Exponential Decay Function (Application):

Section: 6.7

• Instance ane: Extending a Geometric Sequence:
• Example 2: Graphing a Geometric Sequence (Using Sequence Notation):
• Example 3: Writing an Equation for a Geometric Sequence (Application):

Section: 6.7b

• Instance 1: Writing Terms of Recursively Divers Sequences:
• Instance two: Writing Recursive Rules:
• Case iii: Translating Recursive Rules into Explicit Equations:
• Example 4: Translating Explicit Equations into Recursive Rules:
• Example five: Writing Recursive Rules for Other Sequences:

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Chapter 7: Polynomial Equations and Factoring (pp. 327 - 400)

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Lesson Tutorials

Department: vii.1

• Instance 1: Finding the Degrees of Monomials:
• Case two: Classifying Polynomials:
• Case three: Writing Polynomials (Awarding):

Section: 7.2

• Example one: Adding Polynomials:
• Example two: Subtracting Polynomials:
• Example 3: Adding Polynomials (Two Variables):
• Example 4: Subtracting Polynomials (Application):

Section: 7.3

• Example one: Multiplying Binomials Using the Distributive Holding:
• Example 2: Multiplying Binomials Using a Table:
• Example three: Multiplying Binomials Using the FOIL Method:
• Instance iv: Multiplying a Binomial and a Trinomial:
• Example 5: Multiplying Binomials (Application):

Section: vii.4

• Example one: Using the Sum and Deviation Pattern:
• Example 2: Using the Square of a Binomial Pattern:
• Example 3: Using the Foursquare of a Binomial Design (Application):

Department: seven.5

• Case 1: Solving Polynomial Equations:
• Case ii: Solving a Polynomial Equation:
• Example iii: Solving a Polynomial Equation (Application):

Section: vii.6

• Example i: Factoring Polynomials:
• Instance two: Solving an Equation by Factoring:
• Case three: Solving an Equation by Factoring (Application):

Section: 7.seven

• Example ane: Factoring ten� + bx + c When b and c Are Positive:
• Instance 2: Factoring x� + bx + c When b Is Negative and c Is Positive:
• Example 3: Factoring x� + bx + c When c Is Negative:
• Example 4: Solving an Equation past Factoring x� + bx + c (Application):

Department: 7.8

• Example 1: Factoring Out the GCF:
• Example two: Factoring ax� + bx + c When ac Is Positive:
• Example three: Factoring ax� + bx + c When ac Is Negative:
• Example iv: Solving an Equation past Factoring ax� + bx + c (Application):

Section: 7.9

• Example 1: Factoring the Divergence of Ii Squares:
• Example 2: Factoring Perfect Square Trinomials:
• Example 3: Solving an Equation past Factoring the Difference of 2 Squares (Application):

Section: 7.9b

• Example i: Factoring by Grouping:
• Example two: Factoring Completely:
• Example iii: Solving an Equation by Factoring Completely:

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Chapter eight: Graphing Quadratic Functions (pp. 401 - 452)

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Lesson Tutorials

Department: 8.one

• Instance i: Identifying Characteristics of a Quadratic Part:
• Example 2: Graphing y = ax² When a > 0:
• Example 3: Graphing y = ax² When a < 0:
• Example 4: Using a Graph of a Quadratic Function (Awarding):

Section: eight.2

• Case one: Finding the Focus of a Parabola:
• Example 2: Writing an Equation of a Parabola:
• Example 3: Finding the Focus of a Parabola (Application):

Section: 8.three

• Example ane: Graphing y = x² + c:
• Instance ii: Graphing y = ax² + c:
• Example three: Translating a Graph (Quadratic Function):
• Example iv: Graphing a Quadratic Function (Application):

Department: 8.4

• Case 1: Finding the Axis of Symmetry and the Vertex of a Graph:
• Example 2: Graphing y = ax² + bx + c:
• Example iii: Finding Maximum and Minimum Values:
• Case 4: Finding the Maximum Value (Awarding):

Section: 8.4b

• Instance 1: Graphing y = (x - h)²:
• Example 2: Graphing y = (x - h)² + k:
• Case 3: Graphing y = a(x - h)² + k:

Section: 8.5

• Instance i: Identifying Functions Using Graphs:
• Example 2: Identifying Functions Using Differences or Ratios:
• Instance 3: Identifying and Writing a Function:

Department: 8.5b

• Instance 1: Rates of Change of a Quadratic Function:
• Example 2: Rates of Modify of Unlike Functions:

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Chapter 9: Solving Quadratic Equations (pp. 453 - 500)

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Lesson Tutorials

Section: nine.1

• Example 1: Solving a Quadratic Equation: Two Existent Solutions:
• Example 2: Solving a Quadratic Equation: I Real Solution:
• Example iii: Solving a Quadratic Equation: No Real Solutions:
• Case 4: Solving a Quadratic Equation (Application):

Department: 9.2

• Example 1: Solving Quadratic Equations Using Square Roots:
• Example two: Solving a Quadratic Equation Using Square Roots:
• Example three: Solving a Quadratic Equation Using Foursquare Roots (Application):

Section: 9.3

• Case i: Completing the Foursquare:
• Example two: Solving a Quadratic Equation by Completing the Square:
• Example 3: Solving a Quadratic Equation by Completing the Square (Application):

Department: 9.4

• Example i: Solving a Quadratic Equation Using the Quadratic Formula (Two Solutions):
• Case 2: Solving a Quadratic Equation Using the Quadratic Formula (One Solution):
• Example three: Solving a Quadratic Equation Using the Quadratic Formula (Application):
• Example 4: Determining the Number of Real Solutions:

Section: 9.4b

• Example ane: Solving a Quadratic Equation Using Different Methods:
• Example ii: Choosing a Method (Completing the Square):
• Example iii: Choosing a Method (Quadratic Formula):

Section: 9.v

• Case one: Solving a Organization of Linear and Quadratic Equations (past Substitution):
• Example 2: Solving a System of Linear and Quadratic Equations (by Emptying):
• Example 3: Solving a Arrangement of Linear and Quadratic Equations (by Graphing):

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Chapter ten: Square Root Functions and Geometry (pp. 501 - 540)

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• x.1b: Rationalizing the Denominator (p. 0)

Lesson Tutorials

Department: 10.ane

• Example 1: Finding the Domain of a Square Root Function:
• Case two: Comparison Graphs of Square Root Functions:
• Case 3: Comparing Graphs of Foursquare Root Functions (Reflection in the x-axis):
• Example 4: Using the Graph of a Foursquare Root Part (Application):

Section: x.1b

• Example 1: Simplifying a Radical Expression (Rationalizing the Denominator):
• Example two: Simplifying a Radical Expression (Using a Conjugate):
• Example 3: Simplifying a Radical Expression (Application):

Section: 10.2

• Example 1: Solving Square Root Equations:
• Example two: Solving a Square Root Equation:
• Case three: Solving an Equation with Square Roots on Both Sides:
• Example iv: Identifying an Extraneous Solution:
• Example five: Solving a Square Root Equation (Application):

Section: 10.3

• Example 1: Finding the Length of a Leg:
• Case 2: Using the Pythagorean Theorem (Awarding):

Section: 10.4

• Example 1: Identifying a Right Triangle:
• Example 2: Finding the Distance Betwixt 2 Points:
• Example 3: Finding the Distance Between Ii Points (Application):

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Chapter 11: Rational Equations and Functions (pp. 541 - 604)

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Lesson Tutorials

Section: 11.one

• Example 1: Identifying Direct and Inverse Variation (From a Table or an Equation):
• Example ii: Writing and Graphing a Directly Variation Equation:
• Case 3: Writing and Graphing an Inverse Variation Equation:
• Example 4: Identifying Inverse Variation (Application):
• Example 5: Graphing an Changed Variation Equation (Application):

Section: 11.2

• Example 1: Finding the Excluded Value of a Rational Office:
• Case 2: Graphing a Rational Office:
• Instance 3: Identifying Asymptotes:
• Example 4: Comparing Graphs of Rational Functions:
• Case five: Graphing a Rational Part (Application):

Section: 11.2b

• Example 1: Finding Changed Relations:
• Example two: Finding Changed Functions:

Section: 11.iii

• Case 1: Simplifying Rational Expressions:
• Instance 2: Simplifying Rational Expressions (Factoring):
• Example 3: Simplifying Rational Expressions (Awarding):

Section: xi.4

• Example i: Multiplying Rational Expressions:
• Case ii: Dividing Rational Expressions:
• Instance 3: Dividing Rational Expressions:

Department: 11.5

• Example 1: Dividing a Polynomial by a Monomial:
• Example ii: Dividing a Polynomial by a Binomial: No Remainder:
• Example 3: Dividing a Polynomial past a Binomial: Rest:
• Example four: Inserting a Missing Term:

Department: 11.6

• Example i: Adding and Subtracting with Like Denominators:
• Instance ii: Finding the LCD of Ii Rational Expressions:
• Example 3: Adding with Unlike Denominators:
• Instance 4: Subtracting with Unlike Denominators:
• Example 5: Adding with Unlike Denominators (Awarding):

Section: 11.7

• Example 1: Solving Rational Equations Using Cross Products:
• Example 2: Solving a Rational Equation Using the LCD:
• Instance 3: Solving Rational Equations (Application):

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Affiliate 12: Data Assay and Displays (pp. 605 - 673)

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Lesson Tutorials

Section: 12.ii

• Instance 1: Finding the Range (and Mean):
• Case 2: Finding the Standard Difference:

Department: 12.3

• Case 1: Interpreting a Box-and-Whisker Plot (Interquartile Range):
• Case 2: Comparison Box-and-Whisker Plots:

Section: 12.4

• Instance 1: Describing the Shape of a Distribution:
• Example ii: Choosing an Appropriate Measure out of Key Tendency:
• Example 3: Choosing Appropriate Measures:

Section: 12.five

• Case i: Finding a Line of Fit:

Department: 12.six

• Case 1: Using Residuals (Good Fit):
• Example 2: Using Residuals (Not a Good Fit):
• Example 3: Finding a Line of Best Fit Using Applied science:
• Instance 4: Identifying Correlation and Causation:

Section: 12.vii

• Example 1: Reading a Two-Style Table:
• Example 2: Finding Marginal Frequencies:
• Case 3: Making a 2-Way Tabular array:
• Case 4: Finding a Relationship in a 2-Way Tabular array:

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