# Tag: algebra

## Algebraic Expressions

Algebraic Expressions x2 + 6x + 9 Above is an example of an algebraic expression. Algebraic expressions are expressions which contain terms, variables and coefficients, and constants. Terms Terms are the elements in an algebraic expression, separated by the arithmetic signs. Example A term may consist of variables and coefficients, or a constant. Variables The…

## Conducting Operations on Algebraic Expressions

Conducting Operations on Algebraic Expressions Addition and Subtraction When adding, and subtracting algebraic expressions follow the steps below: Step 1: Group like terms (like terms are those with the same variables). Only like terms can be added and subtracted. Step 2: Add or subtract the coefficients of the grouped like terms. Examples Multiplication and Division…

## Substituting Numbers for Algebraic Symbols

Substituting Numbers for Algebraic Symbols Algebraic symbols are the variables in an algebraic expression. The values of algebraic expressions are obtained by substituting numbers in place of variables, and simplifying. Examples

## Translating Verbal Phrases in to Algebraic Expressions

Translating Verbal Phrases in to Algebraic Expressions Before attempting to translate verbal phrases in to algebraic expressions, the following terminologies and their meanings must be known: Terminologies Signs/Meanings Equals, is, adds up to = Times, product, of, multiplied by x Divided by, quotient, per, out of ÷ Plus, added to, sum, and, total, combined +…

## Binary Operations

Binary Operations A binary operation is one which takes two elements (no more, no less) and combines them into one. Examples In algebra, symbols are used to represent and perform operations on binary. Examples

## Removing and Inserting Brackets

Removing and Inserting Brackets Removing Brackets The distributive law is used when removing brackets. It is summarised by the identity below: (a + b) c = a x c + b x c The distributive law basically states that when removing a bracket, use the term outside the bracket to multiply each term in the…

## Indices

Indices Before attempting to simplify expressions with indices (powers), revisiting the laws of indices is always advised. The laws of indices: Examples

## Linear Equations

Linear Equations A linear equation by definition is an equation which when graphed produces a straight line. The following are two examples of linear equations with one unknown: When solving linear equations with one unknown: Step 1: Place the unknown variables on the left hand side of the equal sign, and the numbers on the…

## Simultaneous Linear Equations

Simultaneous Linear Equations Simultaneous equations are two or more equations, with the same unknowns (variables) and solutions. They are solved by using one of two methods: Elimination or Substitution. Below are examples of simultaneous equations. Elimination In this method, the first objective is to eliminate one of the two unknowns (variables). This is done by:…