## ISEE Math Review – Linear Equations and their Graphs

A graph, or coordinate plane, can be used to represent the results of equations by plotting their inputs and outputs. Basically, a value is inputted into an equation (with one variable), a series of mathematical actions occur, and a single output is created. A graph is made up of two perpendicular number lines, called the [...]

## ISEE Math Review – System of Linear Equations: Elimination and Substitution

So far, you have mostly been solving for a single variable in an equation or placing one variable in terms of the others. However, you will likely face questions asking you to solve for more than one variable, and these questions will likely be about linear equations. A linear equation simply refers to an [...]

## ISEE Math Review – Inequalities

You know that 2 is a larger number than 1, and you know that ‐2 is a smaller number than ‐1, so how do you show both of these statements to be true? While an equation is a demonstration of two quantities equal to one another, inequalities demonstrate two quantities not equal to one [...]

## ISEE Math Review – Direct and Inverse Variation

Direct and inverse variation refers to two values that are proportional to one another depending on a particular constant, or k: Direct variation multiplies the constant to one of the values. Inverse variation divides the constant by one of the values. To determine which variation to use, look closely at the words used in [...]

## ISEE Math Review – Absolute Value

Absolute value, represented as a vertical line on either side of the value, refers to a number or variable’s distance from zero on the number line. There are always two numbers that share the same distance from zero: a positive number and its negative counterpart. The absolute value for a variable will usually result [...]

## ISEE Review – Balancing Algebraic Equations

The idea of the equation shouldn’t be new to you. We’ve already covered several concepts where an action results in a specific value. If you recall, there is always an equal sign between the action and the result, which is a statement that one expression is equal to the other. Since algebraic expressions can [...]

## ISEE Math Review – Factoring Algebraic Expressions

Since we can multiply algebraic expressions we can factor them out. While the process of factoring is different than using a factor tree, the concept is the same. You are looking for what parts make up the whole algebraic expression. Think of factoring as the reverse of multiplying algebraic expressions. Factoring out algebraic expressions [...]

## ISEE Math Review – Multiplying Polynomials

Algebraic expressions are not solely made up of coefficients and a single variable. Algebraic expressions can be made up of multiple terms, which are either added or subtracted from each other. These terms can include several distinct variables, their coefficients, and known quantities called constants. Depending on their number of terms, algebraic expressions can [...]

## ISEE Math Review – Operations on Algebraic Expressions

In a nutshell, Algebra is arithmetic using known and unknown quantities. These unknown quantities are called variables and are represented as a letter (x) or a symbol. You have already evaluated some algebraic expressions by substituting certain values for some or all of the variables within the expression. Now, let’s apply what we [...]

## ISEE Math Review – Units of Measurement

The United States uses what is known as the U.S. Customary Units, a variation of the Imperial system, for its measurement values. Most of the rest of the world uses the International System of Units, the modern iteration of the Metric system. The ERB will likely provide some conversions and values for U.S. Customary [...]