Montgomery College algebra Equations & Problem Solving *Order of Operations & Simplifying Algebraic. Expressions


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1 Where to go for help with the lessons in the I textbook: Username: student id number followed by scpsfl Password: YYYYMMDDscpsfl Click Student Resource Choose the chapter Choose Homework View Tutors Chapter 1 Lesson Pearson Montgomery College prealgebra 11 Variables and Expressions 12 Order of Operations/ Evaluating Expressions *Writing algebraic from words *Writing an equation *Using the order of operations to simplify an expression *Evaluating algebraic with exponents Whole Numbers *Into to Variables /Problem Solving *Simplifying ic Expressions Whole Numbers *Exponents and Order of Operations Integers *Order of Operations with Integers Montgomery College algebra & Problem Solving *Order of Operations & Simplifying ic Expressions Khan Academy Other Lessons/vol7/.html Lessons/vol7/ order_operations.html Lessons/vol7/ operations_ exponents.html Lessons/vol7/ operations_
2 13 Real Numbers 14 Properties of Real Numbers 15 Add/Sub Real Numbers *Ordering positive and negative fractions *Classifying numbers *Simplifying square roots of numbers *Estimating square roots of numbers *Identifying properties of real numbers *Using properties of real numbers *Adding numbers *Adding numbers to solve problems *Subtracting numbers *Evaluating algebraic with numbers *Finding absolute value Integers *Intro to Integers Integers *Adding Integers *Subtracting Integers *Number Sets 1 *Number Sets 2 *Number Sets 3 *Absolute Value 1 *Absolute Value and Number Lines integers.html Lessons/vol5/ intro_integers.html Lessons/vol5/ compare_order.html Lessons/vol5/ absolute_value.html Lessons/vol5/ addition.html Lessons/vol5/ subtraction.html
3 16 Mult/Div Real Numbers 17 Distributive Property 18 Intro to 19 Patterns,, and Graphs *Multiplying numbers *Dividing numbers *Simplifying algebraic with exponents Integers *Multiplying & Dividing with Integers /Problem Solving *Using the Addition Property of Equality to Solve *Using the Multiplication Property of Equality to Solve *Using Multiple Properties of Equality to Solve Decimals Containing Decimals Struggling with other concepts: Whole Numbers *Rounding & Estimating *Multiply Whole Numbers *Divide Whole Numbers *General Steps for Solving Word Problems Fractions Decimals & Problem Solving *Using the Properties of Equality to Solve Struggling with other concepts: & Problem Solving *General Steps for Solving Word Problems Lessons/vol5/ multiplication.html Lessons/vol5/ division.html Lessons/vol7/ equations.html
4 Percents Graphing *Mean, Medians, & Modes Chapter 2 Lesson Pearson Montgomery College prealgebra 21 OneStep /Problem Solving *Using the Addition Property of Equality to Solve *Using the Multiplication Property of Equality to Solve Montgomery College algebra & Problem Solving *Using the Properties of Equality to Solve Khan Academy *Simple Other 22 TwoStep 23 MultiStep 24 with Variables on Both Sides a twostep equation *Writing and solving twostep equations multistep equations multistep equations by combining like terms equations with variables on both sides /Problem Solving *Using Multiple Properties of Equality to Solve * 2 *: 4 1 * 3 2 with the Distributive Property Solving with the Distributive Property 2
5 25 Literal and Formulas 26 Ratios, Rates, Conversions 27 Solving Proportions 28 Similar Figures *Converting rates using unit or dimensional analysis proportions using cross products multistep proportions *Comparing unit rates *Using similar figures to find indirect measurement *Using proportion to find unknown length in similar figures *Finding distances on maps using scale *Example of Solving for a Variable for a Variable 2 *Introduction to Ratios *Ratio Problem with Basic *Writing Proportions Lessons/percent/ proportions.html 29 Percents Lessons/percent/
6 210 Change Expressed as a Percent *Finding percent increase *Finding percent decrease *Finding the greatest possible error *Finding percent errors interest.html Lessons/percent/ change.html Chapter 3 Lesson Pearson Montgomery College prealgebra 31 Inequalities and the Graphs 32 Solving Inequalities (+,) 33 Solving Inequalities (x,/) *Graphing solutions to one variable inequalities *Writing an inequality from a graph *Writing inequalities onestep whole number inequalities by adding onestep inequalities by subtracting onestep inequalities by multiplying onestep inequalities Montgomery College algebra & Problem Solving and Graphing Inequality Khan Academy *: Solving Inequalities Inequalities *Inequalities *Writing and Using Inequalities 2 *Writing and Using Inequalities 3 Other
7 34 Solving MultiStep Inequalities 35 Working with Sets by dividing twostep inequalities multistep inequalities using the distributive property multistep inequalities with variables on both sides lessons/sets 36 Compound Inequalities 37 Absolute Value *Writing and solving a compound inequality containing And *Writing and solving a compound inequality containing Or Solving an absolute value equation an absolute value inequality *Absolute Value *Absolute Value 2 *Absolute Value Inequalities Example 1 Read the lesson, work the problems then do the additional lessons at the bottom
8 *Absolute Inequalities 2 *Writing and Using Inequalities 38 Unions and Intersections Chapter 4 Lesson Pearson Montgomery College prealgebra 41 Graphs to Relate 2 Quantities 42 Patterns and Linear Functions 43 Patterns and Nonlinear Functions 44 Graphing a Function Rule *Interpreting a graph that is related to events *Sketching a graph that is related to events *Identifying independent and dependent quantities *Writing a rule from a table *Making a table from a function rule *Finding the range of a function given Graphing *Graphing Linear Montgomery College algebra Graphs of Linear *Graphing Linear Khan Academy *: Graphing Lines 1 *Patterns in Sequences *Patterns in Sequences 2 * of Sequence Patterns *Finding the 100 th Term in a Sequence Other
9 45 Writing a Function Rule 46 Formalizing Relations and Functions 47 Sequences and Functions the domain *Modeling a function using three views *Discrete vs. continuous data *Graphing a nonlinear function *Writing a function from words *Determining a reasonable domain and range for a situation *Identifying functions using a mapping diagram *Identifying functions using the vertical line test *Finding the common difference of an arithmetic sequence *Finding the value of the nth term of an arithmetic *Introduction to Functions *Functions Part 2 *Functions (Part III) *Functions (part 4) *Domain of a Function *Functional Relationships *Testing if a Relationship is a Function *Domain and Range 1 *Domain and Range 2
10 sequence Struggling with other concepts: Graphing *The Rectangular Coordinate System Struggling with other concepts: Graphs of Linear *The Rectangular Coordinate System Chapter 5 Lesson Pearson Montgomery College prealgebra 51 Slope *Finding slope using rise/run *Finding the rate of change using a table *Finding the rate of change using a graph *Finding slope using coordinates *Finding the slope of horizontal or 52 Direct Variation vertical lines *Using a direct variation to describe a situation *Using a proportion as an equation of direct variation *Using a proportion to solve a direct variation Montgomery College algebra Graphs of Linear *Slope Khan Academy *Slope *slope 2 *Recognizing Linear Functions *Slope of a Line *Slope Example *Direct and Inverse Variation *Recognizing Direct and Inverse Variation *Direct Variation Other
11 53 Slope Intercept Form 54 Point Slope Form 55 Standard Form problem *Graphing a linear equation using slopeintercept form *Writing and equation given the slope/yintercept *Writing an equation from a graph *Analyzing linear graphs *Graphing linear equations using pointslope form *Writing an equation in pointslope form using a point and the slope *Writing an equation in pointslope form from a graph *Writing a linear equation using a table *Modeling real world situations using linear Graphs of Linear *Slope Intercept Form *slope 2 *slope 3 : Equation of a Line *Graphing a Line in SlopeIntercept Form *Equation of a Line 2 *Converting to Slope Intercept Form *PointSlope and Standard Form *X and Y Intercepts *X and Y Intercepts 2
12 56 Parallel and Perpendicular lines 57 Trend Lines equations *Finding the x and y intercepts from an equation in standard form *Graphing linear equations using intercepts *Determining whether lines are parallel *Writing equations of parallel lines *Determining whether lines are perpendicular *Writing equations of perpendicular lines *Making a scatter plot *Using scatter plots and trend lines to make predictions *Writing an equation for a trend line *Writing an equation for a line of best fit *PointSlope and Standard Form *Parallel Lines *Parallel Lines 2 *Parallel Lines 3 *Perpendicular Lines *Perpendicular Lines 2 Other
13 *Slope and YIntercept Intuition Chapter 6 Lesson Pearson Montgomery College prealgebra 61 Solving Systems by Graphing 62 Solving Systems with Substitutions 63 Solving Systems using and interpreting as system of linear equations by graphing *Interpreting solutions of systems of linear equations *Analyzing special types of linear systems linear systems using substitutions linear systems for realworld situations using substitutions linear systems Montgomery College algebra Systems of Linear Linear Systems by Graphing Systems of Linear *The Substitution Method Systems of Linear *The Addition Khan Academy I Worked Systems by Graphing Systems by Graphing 2 Systems by Graphing 3 I Worked Systems by Substitution 1 Systems by Substitution 2 Systems by Substituion 3 *Systems of Other
14 Elimination 64 Applications of Linear Systems 65 Linear Inequalities using elimination, adding linear systems using elimination, multiplying first *Writing and solving linear systems *Finding a break even point *Modeling real world situations using linear inequalities Method Systems of Linear *Word Problems that Involve Systems Word Problems *Word Problems Involving Mixtures *Word Problems Involving Work *Word Problems Involving Rate, Time, & Distance Graphs of Linear *Graphing Linear Inequalities I Worked Systems by elimination Systems by Elimination 2 Systems by Elimination 3 I Worked *Systems and Rate Problems *Systems and Rate Problems 2 *Systems and Rate Problems 3 *Mixture Problems 1 *Mixture Problems 2 *Mixture Problems 3 I Worked and Graphing Linear Inequalities in Two Variables *Graphing Linear Inequalities in Two Variables 2 *Graphing Linear Inequalitities in Two Variables 3
15 66 Systems of Linear Inequalities *Graphing systems of linear inequalities *Writing a system of linear inequalities *Using a system of linear inequalities Word Problems *Word Problems Involving Systems Chapter 7 Lesson Pearson Montgomery College prealgebra 71 Zero and Negative Exponents 72 Scientific Notation *Simplifying exponential algebraic including negative values *Evaluating exponential *Writing a number in scientific notation *Writing a number in standard notation *Ordering numbers in scientific I Worked *Graphing Systems of Inequalities *Graphing Systems of Inequalities 2 *Graphing Systems of Inequalities 3 Montgomery College algebra Exponents & Polynomials * Negative Exponents Exponents & Polynomials * Scientific Notation Khan Academy *Scientific Notation 1 *Scientific Notation 2 *Scientific Notation 3 Other
16 73 Multiplying Powers with the Same Base 74 Multiplication Properties of Exponents 75 Division Properties of Exponents notation *Multiplying a number in scientific notation by a single number *Multiplying powers with the same base *Multiplying powers in an algebraic expression *Multiplying numbers in scientific notation *Simplifying a power raised to a power *Raising a product to a power *Raising a number in scientific notation to a power *Dividing numbers in scientific notation *Dividing algebraic containing exponents *Raising a Polynomials *Multiplication Properties of Exponents Exponents & Polynomials * Exponents Exponents & Polynomials * Rational Expressions & Exponents *Simplifying Expressions with Exponents *Exponent Rules 1 *Simplifying Expressions with Exponents 3 *Simplifying Expressions with Exponents 2
17 76 Exponential Functions quotient to a power *Evaluating an exponential function *Graphing an exponential function *Using an exponential function to model realworld situations *Finding the value of the nth term of geometric sequence Chapter 8 Lesson Pearson Montgomery College prealgebra 81 Add and Subtract Polynomials 82 Multiplying and Factoring *Classifying polynomials using the degree and number of terms *Adding polynomials *Subtracting polynomials *Multiplying a polynomial by a monomial *Finding the Polynomials *Adding & Subtracting Polynomials Polynomials *Multiplying Polynomials Montgomery College algebra Exponents & Polynomials * Adding & Subtracting Polynomials Exponents & Polynomials * Multiplying Polynomials Khan Academy *Adding and Subtracting Polynomials 1 *Adding and Subtracting Polynomials 2 *Adding and Subtracting Polynomials 3 *Factoring and the Distributive Property 2 Other
18 83 Multiplying Binomials 84 Multiplying Special Cases 85 Factoring x 2 + bx + c GCF of a polynomial *Factoring out a monomial using the GCF *Multiplying two binomials using the distributive property *Multiplying two binomials using FOIL *Applying the multiplication of polynomials *Multiplying a trinomial and binomial *Squaring a binomial *Squaring a binomial to find probability *Finding the difference of squares *Factoring trinomials of the type x 2 + bx + c where b is positive *Factoring trinomials of the type x 2 + bx + c where b is negative *Factoring *Factoring and the Distributive Property 3 *Level 1 Multiplying Expressions *Multiplying Polynomials 1 *Multiplying Polynomials 2 *Multiplying Polynomials 3 *Special Products of Polynomials *Special Products of Polynomials 2 *Special Products of Polynomials 3 a Quadratic by Factoring Quadratic by Factoring Quadratic by Factoring 2 Quadratic
19 86 Factoring ax 2 + bx + c 87 Factoring Special Cases 88 Factoring by Grouping trinomials of the type x 2 + bx c *Factoring trinomials with two variables *Factoring trinomials of the type ax 2 + bx + c where b is positive *Factoring trinomials of the type ax 2 + bx + c where b is negative *Factoring perfect square trinomials with a = 1 *Factoring perfect square trinomials with a not equal to 1 *Factoring the difference of two squares *Factoring a fourterm polynomial by grouping *Factoring a trinomial by grouping *Using factoring of trinomials in realworld Factoring Polynomials *Factoring Trinomials in the Form ax 2 + bx + c by Factoring 3 *Factoring Special Products 1 *Factoring Special Products 2 *Factoring Trinomials by Grouping 1 *Factoring Trinomials by Grouping 2 *Factoring Trinomials by Grouping 3 *Factoring Trinomials by Grouping 4 *Factoring Trinomials
20 situations by Grouping 5 *Factoring Trinomials by Grouping 6 Chapter 9 Lesson Pearson Montgomery College prealgebra 91 Quadratic Graphs and their Properties 92 Quadratic Functions *Graphing a quadratic function using a table, y = ax 2 *Graphing a quadratic function using a table, y = ax 2 + c *Using the quadratic function to model the height of an object Example 1 Graphing a quadratic function, y = ax 2 + bx +c Struggling with the Basics? Factoring Polynomials *Greatest Common Factors Montgomery College algebra Quadratic *Graphing Quadratic Functions Struggling with the Basics? *Multiplying and Dividing Monomials 1 *Multiplying and Dividing Monomials 2 *Multiplying and Dividing Monomials 3 *Factoring and the Distributive Property Khan Academy *Quadratic Functions 1 *Quadratic Functions 2 *Quadratice Functions 3 Other
21 93 Solving Quadratic 94 Factoring to Solve Quadratic 95 Completing the Square 96 Quadratic Formula and Discriminant *Using the quadratic function to model the height of an object Example 2 quadratic equations by graphing quadratic equations by using square roots quadratic equations by factoring quadratic equations using completing the square quadratic equations using completing the square when a does not equal 1 quadratic equations using the Factoring Polynomials Using the Zero Property Quadratic *The Quadratic Formula *Introduction to the Quadratic Equation *Completing the Square *Completing the Square 1 *Completing the Square 2 *Completing the Square 3 *Completing the Square 4 *Quadratic Equation part 2
22 97 Linear, Quadratic, and Exponential Models quadratic formula realworld problems using the quadratic furmula *Choosing the appropriate method to solve quadratic equations *Using the discriminant to find the number of solutions and solve problems *Modeling data using a linear, quadratic, or exponential model example 1 *Modeling data using a linear, quadratic, or exponential model example 2 Word Problems *Word Problems Modeled by Quadratic *Quadratic Formula 1 *Quadratic Formula 2 *Quadratic Formula 3 *Applying Quadratic Functions 1 *Applying Quadratic Functions 2 *Applying Quadratic Functions 3
23 Chapter 10 Lesson Pearson Montgomery College prealgebra 101 Pythagorean Theorem 102 Simplifying Radicals 103 Operations with Radical *Using the Pythagorean Theorem to find the hypotenuse *Using the Pythagorean Theorem to find the leg *Using the converse of the Pythagorean Theorem *Simplifying radical involving products *Multiplying two radical *Simplifying radicals by dividing *Simplifying radical involving quotients, ize denominator *Simplifying radical sums and differences Montgomery College algebra Word Problems *Pythagorean Theorem Roots & Radicals *Simplifying Radical Expressions Roots & Radicals *Adding & Subtracting Radical Expressions Khan Academy *Pythagorean Theorem 1 *Pythagorean Theorem 2 *Pythagorean Theorem 3 *Simplifying Radical Expressions 1 *Simplifying Radical Expressions 2 *Simplifying Radical Expressions 3 Other
24 Expressions 104 Solving Radical 105 Graphing Square Root Functions *Simplifying radical products and quotients using the distributive property *Simplifying radical products and quotients using FOIL *Simplifying radical using conjugates proportions involving radical radical equations by isolating the radical *Using radical equations to solve problems *Identifying extraneous solutions *Identifying no solutions *Finding the domain and range of radical Radical 1 Radical 2 Radical 3 *Applying Radical 1 *Applying Radical 2 *Applying Radical 3
25 functions *Graphing radical functions *Graphing radical functions using a vertical translation *Graphing radical functions using a horizontal translation Struggling with the Basics? Roots & Radicals *Int roduction to Roots & Radicals Chapter 11 Lesson Pearson Montgomery College prealgebra 111 Simplifying Rational Expressions 112 x, / Rational Expressions *Simplifying a expression *Simplifying a expression by recognizing opposite factors *Multiplying using factoring *Multiplying Montgomery College algebra Rational Expressions *Simplifying Rational Expressions Rational Expressions *Multiplying & Dividing Rational Expressions Khan Academy *Simplifying Rational Expressions 1 *Simplifying Rational Expressions 2 *Simplifying Rational Expressions 3 *Multiplying and Dividing Rational Expressions 1 *Multiplying and Other
26 113 Divide Polynomials ,  Rational Expressions by polynomials *Dividing by and polynomials *Dividing a polynomial by a monomial *Dividing a polynomial by a binomial *Dividing polynomials with a zero coefficient *Adding with like denominators *Subtracting with like denominators *Adding with unlike monomial denominators *Adding Rational Expressions *ic Least Common Denominators *Adding & Subtracting Rational Expressions Dividing Rational Expressions 2 *Multiplying and Dividing Rational Expressions 3 *ic Long Division *Adding and Subtracting Rational Expressions 1 *Adding and Subtracting Rational Expressions 2 *Adding and Subtracting Rational Expressions 3
27 with unlike polynomial denominators 115 Solving Rational equations equations using factoring a proportion a proportion, checking for extraneous solutions 116 Inverse *Writing the Variation equation of an inverse variation inverse variations *Determining direct or inverse variation *Determining whether realworld situations involve direct or inverse variation 117 Graphing *Graphing a Rational Expressions Containing Rational Expressions Rational 1 Rational 2 Rational 3 *Applying Rational 1 *Applying Rational 2 *Applying Rational 2
28 Rational Functions function using a vertical asymptote *Graphing a function using vertical and horizontal asymptotes *Describing the graph of different types of functions Struggling with the Basics *Domain Restrictions on ic Fractions
Evaluate algebraic expressions for given values of the variables.
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