Topics in Algebra
List of linear algebra topics
Constructing geometric sequences : Sequences Modeling with sequences : Sequences General sequences : Sequences. Systems of equations. Introduction to systems of equations : Systems of equations Equivalent systems of equations and the elimination method : Systems of equations Solving systems of equations with substitution : Systems of equations. Manipulating expressions with unknown variables : Systems of equations Number of solutions to systems of equations : Systems of equations Solving any system of linear equations : Systems of equations Systems of equations word problems : Systems of equations.
Exponential vs. Multiplying monomials by polynomials : Polynomials Multiplying binomials : Polynomials Multiplying binomials by polynomials : Polynomials Special products of binomials : Polynomials Polynomials word problems : Polynomials. Introduction to factorization : Factorization Factoring monomials : Factorization Factoring polynomials by taking common factors : Factorization Evaluating expressions with unknown variables : Factorization Factoring quadratics intro : Factorization.
Factoring quadratics by grouping : Factorization Factoring polynomials with quadratic forms : Factorization Factoring quadratics: Difference of squares : Factorization Factoring quadratics: Perfect squares : Factorization Strategy in factoring quadratics : Factorization Factoring polynomials with special product forms : Factorization. Parabolas intro : Quadratics Quadratic factored form : Quadratics Solving quadratics by taking square roots : Quadratics Quadratic vertex form : Quadratics Solving quadratics by factoring : Quadratics.
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Irrational numbers. Mastery unavailable. Irrational numbers : Irrational numbers Sums and products of rational and irrational numbers : Irrational numbers Proofs concerning irrational numbers : Irrational numbers. Staff picks. Intro to the coordinate plane Overview and history of algebra.
Intro to slope Slope. What is a function? Don't do it. Ever wonder why? A division problem can be read as a multiplication problem that's missi Some words can be translated into math, and some math can be translated into words, and neither require the babel fish from The Hitchhiker's Guide to the Galaxy. When we translate words to math, m Audrey II is a man-eating plant living in the Little Shop of Horrors and it needs blood, and lots of it.
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Luckily its caretaker, Seymour, has discovered a blood substitute to feed Audrey II. Now tha Inequalities are exactly what they sound like: equations where the sides are "inequal" not equal to each other. There are five basic inequalities that we need to be familiar with:SymbolMeaninggr Solving inequalities isn't that much different than solving equations.
Instead of having an equal sign divide the two sides, there's an inequality sign. However, there's one really important Inequalities, like equations, can be translated and used to solve problems.
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We use an inequality for values that aren't the same, or that can only be the same up to a certain amount. When a proble Chances are, we've been graphing points for a long time. However, we've probably been doing so on charts that look like this:But since we're blasting ahead in math, we'll soon be graphing on chart Most of the lines we'll be graphing will much more complex than simple vertical and horizontal lines.
There are many ways to go about graphing these, but we'll only work with the two most common me We know that we can graph a linear equation with two variables, such as the famous x and y, as a straight line.
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By the way: that's true only because the variables don't have any exponents, but tha The slope of a line measures its steepness; the larger the absolute value of the slope, the steeper the line is. If we don't know the slope, it's usually represented by the variable m. The x- and y-intercepts of a line are the points where the line intercepts, or crosses, either the x-axis or the y-axis.
Notice that the y Namespaces Page Discussion. Views Read View source View history.