SAT Prep - Math

Absolute Value Inequalities Problems involving absolute values and inequalities are fairly common on the SAT. These problems appear difficulty. However they are all similar in nature and can be solved using a simple 3-step approach: 1. Isolate the Ab... read more ››

Cross multiplication is a simple technique that allows you to simplify an equation involving fractions. Using cross multiplication you multiply the denominator on the left side of an equation to the numerator on the right side and simultaneously mult... read more ››

Every once in a while SAT will try to confuse you with questions that involves evaluating one variable in terms of another. These type of questions typically involve a linear equation where they may be two or more variables e.g. etc. You may be... read more ››

What does Function Range mean?You may recall that a function takes an input and converts it into an output i.e.: Function Range refers to the range of values that a function can take based on the input variables. The range is often expressed as ineq... read more ››

Isolating variable is one of the fundamental techniques to solve algebra equations. Isolating variable, (or "Transposition" as some of you may have been taught in school), is a technique to bring the variable to one side of the equation and... read more ››

Quadratic Equation A quadratic equation is a polynomial equation of the second degree. The general form of a quadratic equation is: Where  represents a variable and  and are constants such that . (If , the equation becomes a linear equati... read more ››

Simplifying an expression means reducing the number of terms so that the expression becomes compact, easier to comprehend and solve. Here are some steps you should consider. Remember they are just guidelines and its entirely possible for you or anyon... read more ››

Absolute Values If you recall, the absolute value of a number is always equal to the positive equivalent of that number.   For example:   As you can see, the absolute function converts both negative and positive expressions into positi... read more ››

Exponential equations are equations in which variables appear in the exponents. In order to solve exponential equations you must remember the 5 basic rules of exponents:   Exponent Multiplication Rule: ... read more ››

Solving for expression are those question where you need to solve for an expression. The problem usually provides you with one or more algebraic equations and you are expected to determine the value of another algebraic expression.   Example: ... read more ››

Solving inequalities is similar to solving equations. The difference is that the solution won't provide a definite value for the variable.  Instead, you will have a range of acceptable values. To solve to inequalities, you need to add/subtract&n... read more ››

Linear Equation An equation is a mathematical statement that asserts the equality of two algebraic expressions on either side of the equality sign.  The equation is linear when every term in the algebraic expression is either a constant or the p... read more ››

Radical equations are equations in which the variable lies under a radical sign or usually under a square root function.  To solve radical equation, you should use the following steps: First isolate the variable under the root function by m... read more ››

Rational equations are equations that have variables in the denominator.   Example: Examples of rational equations are:   To solve rational equations, you should first convert them into a standard linear or quadratic form. This can b... read more ››

Solving rational inequalities is very similar to solving rational equations.  The first step is to multiply the inequality with an integer in order to eliminate the denominator. Keep in mind that, whatever you multiply the ineq... read more ››

Linear equations with two variables, which are both satisfied by the same unique solution, are referred as system of equations. In school you are taught to solve these equations by plotting them on a graph. Where the two lines intersect, both equatio... read more ››