Beginning and Intermediate Algebra Practice Problems Only

Beginning and Intermediate Algebra Practice Problems Only

An open source (CC-BY) textbook by Tyler Wallace

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Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. ()

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Table of Contents

Chapter 0: Arithmetic 0.1 Integers....................................................5 0.2 Fractions..................................................7 0.3 Order of Operations................................9 0.4 Properties of Algebra.............................10 Chapter 1: Linear Equations 1.1 One-Step Equations...............................12 1.2 Two-Step Equations...............................13 1.3 General Linear Equations......................14 1.4 Solving with Fractions...........................15 1.5 Formulas................................................16 1.6 Absolute Value Equations.....................17 1.7 Variation................................................18 1.8 Appliction: Number and Geometry.......21 1.9 Application: Age....................................24 1.10 Application: Distance..........................27 Chapter 2: Graphing 2.1 Points and Lines....................................31 2.2 Slope......................................................32 2.3 Slope-Intercept Form.............................34 2.4 Point-Slope Form...................................36 2.5 Parallel and Perpendicular Lines...........38

Chapter 3: Inequalities 3.1 Solve and Graph Inequalities................40 3.2 Compound Inequalitites........................42 3.3 Absolute Value Inequalities..................43 Chapter 4: Systems of Equations 4.1 Graphing...............................................44 4.2 Substitution..........................................45 4.3 Addition/Elimination...........................47 4.4 Three Variables.....................................48 4.5 Application: Value................................50 4.6 Application: Mixtures...........................53 Chapter 5: Polynomials 5.1 Exponent Properties.............................56 5.2 Negative Exponents..............................57 5.3 Scientific Notation................................58 5.4 Introduction to Polynomials.................59 5.5 Multiply Polynomials............................61 5.6 Multiply Special Products....................62 5.7 Divide Polynomials...............................63

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Chapter 6: Factoring 6.1 Greatest Common Factor......................64 6.2 Grouping...............................................65 6.3 Trinomials where a = 1..........................66 6.4 Trinomials where a 1..........................67 6.5 Factoring Special Products...................68 6.6 Factoring Strategy................................69 6.7 Solve by Factoring................................70 Chapter 7: Rational Expressions 7.1 Reduce Rational Expressions................71 7.2 Multiply and Divide..............................72 7.3 Least Common Denominator................73 7.4 Add and Subtract.................................74 7.5 Complex Fractions................................75 7.6 Proportions...........................................77 7.7 Solving Rational Equations...................79 7.8 Application: Dimensional Analysis.......80 Chapter 8: Radicals 8.1 Square Roots.........................................82 8.2 Higher Roots.........................................83 8.3 Adding Radicals....................................84 8.4 Multiply and Divide Radicals...............85 8.5 Rationalize Denominators.....................86 8.6 Rational Exponents..............................88 8.7 Radicals of Mixed Index.......................89 8.8 Complex Numbers................................90

Chapter 9: Quadratics 9.1 Solving with Radicals.............................91 9.2 Solving with Exponents..........................92 9.3 Complete the Square..............................93 9.4 Quadratic Formula.................................94 9.5 Build Quadratics From Roots................95 9.6 Quadratic in Form..................................96 9.7 Application: Rectangles..........................97 9.8 Application: Teamwork..........................98 9.9 Simultaneous Products.........................102 9.10 Application: Distance and Revenue....103 9.11 Graphs of Quadratics.........................105 Chapter 10: Functions 10.1 Function Notation...............................106 10.2 Operations on Functions.....................108 10.3 Inverse Functions................................111 10.4 Exponential Functions........................112 10.5 Logarithmic Functions........................113 10.6 Application: Compound Interest........114 10.7 Trigonometric Functions.....................116 10.8 Inverse Trigonometric Functions.........121

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0.1

Practice - Integers

Evaluate each expression. 1) 1 - 3 3) ( - 6) - ( - 8) 5) ( - 3) - 3 7) 3 - ( - 5) 9) ( - 7) - ( - 5) 11) 3 - ( - 1) 13) 6 - 3 15) ( - 5) + 3 17) 2 - 3 19) ( - 8) - ( - 5) 21) ( - 2) + ( - 5) 23) 5 - ( - 6) 25) ( - 6) + 3 27) 4 - 7 29) ( - 7) + 7 Find each product. 31) (4)( - 1) 33) (10)( - 8) 35) ( - 4)( - 2) 37) ( - 7)(8) 39) (9)( - 4)

2) 4 - ( - 1) 4) ( - 6) + 8 6) ( - 8) - ( - 3) 8) 7 - 7 10) ( - 4) + ( - 1) 12) ( - 1) + ( - 6) 14) ( - 8) + ( - 1) 16) ( - 1) - 8 18) 5 - 7 20) ( - 5) + 7 22) 1 + ( - 1) 24) 8 - ( - 1) 26) ( - 3) + ( - 1) 28) 7 - 3 30) ( - 3) + ( - 5)

41) ( - 5)(2) 43) ( - 5)(4) 45) (4)( - 6) 32) (7)( - 5) 34) ( - 7)( - 2)

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