PARCC Algebra 1 Test Prep Course

Simplifying expressions

• 1 Terminating and Repeating Decimals
• 2 Determining if a Number is Rational or Irrational
• 3 Adding and Subtracting Integers
• 4 Multiplying and Dividing Integers
• 5 Adding and Subtracting Fractions
• 6 Multiplying and Dividing Fractions
• 7 Field Properties
• 8 Order of Operations
• 9 Absolute Value
• 10 Evaluation
• 11 Combining Like Terms
• 12 Distributive Property
• 13 Distributive Property and Combining Like Terms

Linear equations in one variable

• 14 One-Step Equations
• 15 Two-Step Equations
• 16 Equations with Fractions
• 17 Equations Involving Distributive
• 18 Equations with Variable on Both Sides
• 19 Equations with Variable on Both Sides and Fractions
• 20 Equations with Variable on Both Sides and Distributive
• 21 Equations with Decimals
• 22 Equations with Decimals and Decimal Solutions
• 23 Equations with Fraction Solutions
• 24 Literal Equations
• 25 Advanced Literal Equations

Solving word problems

• 26 Translating English to Algebra
• 27 Writing and Solving Multi-Step Equations
• 28 Number Word Problems
• 29 Consecutive Integer Word Problems
• 30 Geometry Word Problems
• 31 Percent Word Problems
• 32 Age Word Problems
• 33 Interest Word Problems
• 34 Mixture Word Problems
• 35 Motion Word Problems
• 36 Advanced Motion Word Problems

Inequalities, absolute value, graphing, & functions

• 37 Solving and Graphing Inequalities
• 38 Combined Inequalities
• 39 Advanced Inequalities
• 40 Absolute Value Equations
• 41 Absolute Value Inequalities
• 42 The Coordinate System
• 43 Domain and Range
• 44 Definition of a Function
• 45 Function and Arrow Notation
• 46 Graphing within a Given Domain
• 47 Graphing Lines
• 48 The Intercept Method
• 49 Graphing Inequalities in Two Variables

Linear equations in two variables

• 50 Patterns and Table Building
• 51 Word Problems and Table Building
• 52 Slope as a Rate of Change
• 53 Slope of a Line
• 54 Using Slope to Graph a Line
• 55 Using Coordinates to Find Slope (Graphs and Tables)
• 56 Slope Formula
• 57 Using Slope Formula to Find Missing Coordinates
• 58 Slope-Intercept Form
• 59 Converting to Slope-Intercept Form and Graphing
• 60 Linear Parent Graph and Transformations
• 61 Writing Equations of Lines
• 62 Writing Equations of Lines Using Tables
• 63 Direct Variation
• 64 Applications of Direct Variation and Linear Functions
• 65 Writing Equations of Lines in Standard Form
• 66 Writing Equations of Lines Using the Point-Slope Formula
• 67 Writing Equations of Lines Given Two Points
• 68 Writing Equations of Parallel and Perpendicular Lines

Systems of linear equations

• 69 Solving Systems by Graphing
• 70 Solving Systems by Addition
• 71 Solving Systems by Substitution
• 72 Systems of Equations with Fractions and Method of Choice
• 73 Number and Value Word Problems
• 74 Wind and Current Word Problems
• 75 Digit Word Problems

Exponents & polynomials

• 76 The Product Rule
• 77 The Power Rule
• 78 The Quotient Rule
• 79 Numerical Bases and Exponents of Zero
• 80 Combining Exponent Rules
• 81 Multiplying Polynomials
• 82 F.O.I.L.
• 83 Advanced Multiplying Polynomials

Factoring

• 84 Greatest Common Factor
• 85 Factoring out the Greatest Common Factor
• 86 Factoring Trinomials with Positive Constants
• 87 Factoring Trinomials with Negative Constants
• 88 Difference of Two Squares
• 89 Factoring Trinomials with Lead Coefficients and Positive Constants
• 90 Factoring Trinomials with Lead Coefficients and Negative Constants
• 91 Factoring by Grouping
• 92 Advanced Factoring by Grouping
• 93 Factoring Completely
• 94 Advanced Factoring Completely
• 95 Beginning Polynomial Equations
• 96 Intermediate Polynomial Equations
• 97 Advanced Polynomial Equations

Rational expressions & equations

• 98 Simplifying Rational Expressions
• 99 Multiplying and Dividing Rational Expressions
• 100 Adding Rational Expressions
• 101 Subtracting Rational Expressions
• 102 Complex Fractions
• 103 Rational Equations
• 104 Advanced Rational Equations

Radical expressions & equations

• 105 Simplifying Radicals
• 106 Multiplying Radicals
• 107 Dividing Radicals
• 108 Adding Radicals and FOILing with Radicals
• 109 Dividing Radicals Using Conjugates
• 110 Radical Equations
• 111 Advanced Radical Equations

Beginning quadratic equations & functions

• 112 Linear or Quadratic Functions
• 113 Graphs of Quadratic Functions and Beginning Transformations
• 114 Graphs of Quadratic Functions and Advanced Transformations
• 115 Solving Quadratic Equations by Graphing
• 116 Taking the Square Root of Both Sides
• 117 Completing The Square
• 118 Advanced Completing The Square
• 119 Quadratic Formula
• 120 Advanced Quadratic Formula
• 121 Solving Quadratic Equations Using Method of Choice

Imaginary & complex numbers

• 122 Imaginary Numbers
• 123 Advanced Imaginary Numbers
• 124 Complex Numbers
• 125 Advanced Complex Numbers

Advanced quadratic equations & functions

• 126 Understanding y - k = a(x - h)² Form
• 127 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 128 Writing Quadratic Equations in y - k = a(x - h)² Form
• 129 Graphing Quadratic Functions
• 130 Sum and Product of Roots Formula
• 131 Writing Quadratic Functions

Reasoning & algebraic proofs

• 132 Inductive vs. Deductive Reasoning
• 133 Conditional Statements
• 134 Properties
• 135 Algebra Proofs with Properties

Representing data

• 136 Stem-and-Leaf Plots and Frequency Charts
• 137 Histograms
• 138 Scatterplots and Trends
• 139 Range, Median, and Mode
• 140 Box-and-Whisker Plots
• 141 Mean
• 142 Central Tendency Word Problems

Coordinate geometry

• 143 Distance Formula
• 144 Midpoint Formula
• 145 Equation of a Circle

Negative & rational exponents

• 146 Negative Exponents
• 147 Numerical Bases with Negative Exponents
• 148 Multiplying and Dividing with Negative Exponents
• 149 Multiplying and Dividing with Scientific Notation
• 150 Rational Exponents
• 151 Numerical Bases with Rational Exponents
• 152 Writing Radicals in Exponential Form
• 153 Solving Equations with Rational Exponents
• 154 Radical Exponents

Composite functions & inverses

• 155 Composite Functions: f(g(x)) and g(f(x))
• 156 Inverse Relations
• 157 Inverse Functions

Logarithms & exponential functions

• 158 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 159 Solving Logarithmic Equations
• 160 Logarithm Rules and Properties
• 161 Evaluating Logarithms by Condensing or Expanding
• 162 Solving Advanced Logarithmic Equations
• 163 Logarithm Calculator Problems
• 164 Exponential Equations and Change of Base Formula
• 165 Exponential Growth and Decay
• 166 Half Life and Doubling Time Formulas
• 167 Natural Logarithms
• 168 Solving Natural Logarithm Equations with ln and e