Algebra

Tutorial on what is algebra, what are variables, constants, coefficients, terms and expressions. It explains the use of proper notation, how to combine like terms, find the negation of an algebraic expression, how to evaluate an expression.

Learn about equations of the form AX=B.

Learn how to solve equations of the form AX+B=C.

Learn about linear equations with multiple variable and constant terms.

Learn how to solve linear equations with variable expressions in the denominators of fractions.

Learn about factoring polynomials.

Learn how to figure out the slope of a line.

Learn how to determine the equation of a line.

Learn how to solve linear inequalities.

Lesson on linear equations and inequalities in one variable.

In this lesson, students learn that the first step in solving polynomial equations is to set the given equation equal to zero, the next step is to factor, and the final step is to set each of the resulting factors equal to zero and solve each equation.

In this lesson, students learn to solve quadratic equations in the form ax^2 + bx + c = 0 using the quadratic formula. Students also learn to derive the quadratic formula using completing the square in the first example problem in this lesson.

In this lesson, students learn to graph inequalities in two variables. For example, to graph y is less than x + 2, the first step is to graph the boundary line y = x + 2, using the chart method.

Introduction to the parent graph for quadratic functions: y = x^2. Students then learn how to graph quadratic functions, such as y = x^2 + 2, and how to identify the vertex, minimum, x- and y-intercepts, axis of symmetry, one pair of symmetric points, and the domain and range of the graph.

In this lesson, students learn to multiply radicals by multiplying the numbers that are outside the radicals together, and multiplying the numbers that are inside the radicals together. The next step is to break down the resulting radical, and multiply the number that comes out of the radical by the number that is already outside.

In this lesson, students learn to find the least common multiple (LCM) given two integers, and the least common multiple given three integers.

In this lesson, students learn to use slope-intercept form to graph a line. Slope-intercept form is y = mx + b form, where m represents the slope, and b represents the y-intercept. Slope intercept form makes it easy to graph a line quickly, without have to set up a chart and plug in values for x.

In this lesson, students learn to solve a system of linear equations by graphing. The first step is to graph each of the given equations, then find the point of intersection of the two lines, which is the solution to the system of equations.

In this lesson, students learn that a trinomial in the form x^2 + bx + c (where c is positive), such as x^2 + 7x + 10, can be factored as the product of two binomials, in this case (x + 5)(x + 2).

Learn how to graph linear equations.

Lesson explores the parabola. It discusses the axis of symmetry, the focus and the vertex.

Algebra Word Problem: Distance Rate and Time.

Learn about the mean and standard deviation.

Basic graphs that algebra students should know! The author sketches about 10 (or so) basic graphs that are VERY useful to know for any math student taking algebra or higher.