Solving Linear Quadratic Systems AlgebraicallyA linear quadratic system is a system containing one linear equation and one quadratic equation which may be one straight line and one parabola, or one straight line and one circle. Algebraic Solutions straig…

Solving EquationsSolving linear equations is just a matter of undoing operations that are being done to the variable. The task is always to isolate the variable — get the variable ALONE on one side of the equal sign.Remember when solving equations to “ke…

Equations of Straight LinesDepending upon the given information, equations of lines can take on several forms:Slope Intercept Form: y = mx + b Use this form when you know, or can find, the slope, m, and the y-intercept, b. Point Slope Form: y – y1 = m(x …

Multiplying and Dividing Scientific NotationAs you already know, scientific notation (a form of exponential notation) is a concise way to express very small or very large numbers. Consider the speed of light, 300,000,000 m/sec. When writing this value i…

Power to a PowerRule: For all numbers x, and integers n and m, “This simply means when raising a power to a power, multiply the exponents.” Consider: Take a look at the following examples which illustrate this rule:(53)5 = 515 Power raised to a power →…

Multiplying BinomialsThere are numerous ways to set up the multiplication of two binomials. The first three methods shown here work for multiplying ALL polynomials, not just binomials. All methods, of course, give the same answer.1. Horizontal “Distribut…

Compound Linear InequalitiesRemember the primary rule for working with linear inequalities: Multiplying or dividing by a negative number changes the direction of the inequality.A compound inequality is two simple inequalities joined by the word “and” or …

RatiosA ratio is a comparison of two quantities.A ratio of one number to another number is the quotient of the first number divided by the second number. (Where the second number is not zero.)Ratios are most commonly written as a fraction. A ratio can b…

Factoring CompletelySome polynomials cannot be factored into the product of two binomials with integer coefficients, (such as x² + 16), and are referred to as prime. Other polynomials contain a multitude of factors.“Factoring completely” means to contin…

Solving Linear Systems GraphicallyGraphical Method – on graph paperGraphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (…