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 Pre-algebra Arithmetics Integers Divisibility Decimals Fractions Exponents Percentages Proportional reasoning Radical expressions Graphs Algebra Monomials Polynomials Factoring Linear Equations Graphs of linear equations Rectangular Coordinate System Midpoint Formula Definition of Slope Positive and negative slope Determine the slope of a line Equations of lines Equation of lines (from graph) Applications of linear equations Inequalities Quadratic equations Graphs of quadratic equations Absolute Value Radical expressions Exponential equations Logarithmic equations System of equations Graphs and functions Plotting points and naming quadrants Interpreting Graphs Relations and Functions Function Notation Writing a Linear Equation from a Table Writing a Linear Equation to describe a Graph Direct Variation Indirect Variation Domain and range Sequences and series Matrices Inverse of a matrix Determinants Inner product Geometry Triangles Polygons 2-D Shapes 3-D Shapes Areas Volume Pythagorean Theorem Angles Building Blocks Geometry Transformations Parallel, coincident and intersepting lines Distances in the plane Lines in space Plane in space Angles in the space Distances in the space Similarity Precalculus Sequences and series Graphs Graphs Definition of slope Positive or negative slope Determine the slope of a line Equation of a line (slope-intercept form) Equation of a line (point slope form) Equation of a line from graph Domain and range Quadratic function Limits (approaches a constant) Limits (approaches infinity) Asymptotes Continuity and discontinuities Parallel, coincident and intersepting lines Introduction to Functions Limits Continuity Asymptotes Trigonometry Trigonometric ratios The reciprocal trigonometric ratios Trigonometric ratios of related angles Trigonometric identities Solving right angles Law of sines Law of cosines Domain of trigonometric functions Statistics Mean Median Mode Quartiles Deciles Percentiles Mean deviation Variance Standard Deviation Coefficient of variation Skewness kurtosis Frequency distribution Graphing statistics & Data Factorial Variations without repetition Variations with repetition Permutations without repetition Permutation with repetition Circular permutation Binomial coefficient Combinations without repetition Combinations with repetition

 Factoring Solving Equations by Factoring Steps to solve an equation by factoring: Step 1: Bring all the terms to one side and set the equation equal to zero. Step 2: Using the method of solving by factoring, take out the common terms and use one of the methods of factoring to simplify the expression. Step 3: Once in this multiplication form, note that if two terms multiplied equal zero, one of the terms must be equal to zero. Given the rational roots theorem, these are the solutions to the equation. Solve the following equation by factoring: x2-7x=-6 x2-7x+6=0 (x-6)(x-1)=0 The solutions are x=1 and x=6 Solve the following equation by factoring: 16x3+32x2=9x+18 16x3+32x2-9x-18=0 16x2(x+2)-9(x+2)=0 (x+2)(16x2-9)=0 (x+2)(4x+3)(4x-3)=0 The solutions are x=-2, x=$\frac{-3}{4}$, x=$\frac{3}{4}$ Solve the following equation by factoring: 27x4=8x 27x4-8x=0 x(27x3-8)=0 x(3x-2)(9x2+6x+4)=0 Since we cannot find any solution of 9x2+6x+4, we can say that the solutions of the original equations are x=0 and x=$\frac{2}{3}$