PRACTICE MAKES PERFECT ALGEBRA I REVIEW AND WORKBOOK

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Cover Title Page Copyright Page Contents Introduction 1 Arithmetic to algebra The real numbers Properties of real numbers Integers Order of operations Using variables Evaluating expressions Calculator notes #1 2 Equations with one variable Addition and subtraction equations Multiplication and division equations Two-step equations Variables on both sides Simplifying before solving Putting equations to work Calculator notes #2 3 Problems solved with equations Mixture problems Percentage problems Perimeter problems Consecutive integer problems 4 Functions Domain and range Another way to represent relations and functions Vertical line test Function notation Evaluating functions Working backwards Restricting domains 5 Coordinate graphing The coordinate plane Distance Midpoints Graphing equations Slope and rate of change Vertical and horizontal lines Writing linear equations Parallel and perpendicular lines Calculator notes #3 6 Absolute value Absolute value equations Absolute value functions Graphing absolute value functions 7 Inequalities Simple inequalities Compound inequalities Absolute value inequalities Graphing inequalities in two variables 8 Systems of linear equations and inequalities Solving systems of equations by graphing Graphing systems of inequalities Solving systems of equations by substitution Solving systems of equations by elimination Elimination with multiplication Dependent and inconsistent systems Problems solved with systems Calculator notes #4 9 Powers and polynomials Rules for exponents More rules Monomials and polynomials Adding and subtracting polynomials Multiplying polynomials Dividing polynomials Calculator notes #5 10 Factoring Greatest common monomial factor Factoring x2 + bx + c Factoring ax2 + bx + c Special factoring patterns Factoring by grouping Calculator notes #6 11 Radicals Powers and roots Estimating roots Simplifying radical expressions Adding and subtracting radicals Solving radical equations Graphing square root equations 12 Quadratic equations and their graphs Solving by square roots Completing the square The quadratic formula Solving by factoring Graphing quadratic functions Problems solved with quadratic equations Calculator notes #7 13 Proportion and variation Using ratios and extended ratios Solving proportions Variation Joint and combined variation 14 Rational equations and their graphs Simplifying rational expressions Multiplying rational expressions Dividing rational expressions Adding and subtracting rational expressions Complex fractions Solving rational equations Graphing rational functions Problems solved with rational equations Calculator notes #8 15 Exponential growth and decay Evaluating exponential functions Compound interest Exponential growth and decay Graphing exponential functions Calculator notes #9 16 Matrix algebra Rows and columns Addition and subtraction Scalar multiplication Matrix multiplication Determinants Inverses Solving systems with matrices Calculator notes #10 Answers