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Sometimes you will have to find out what x is, In order to do that you have to do the opposite operation on the other side of the equal sign. For instance:
x - 2 = 6
x = 6 + 2
x + 5 = 10
x = 10 - 5
3x = 30
x = 30/3
Algebra is the language through which we describe patterns. It is almost like a shortcut! As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. Algebra typically deals with expressions and equations.
An equation is a set of numbers which equal the exact amount. ei. 2 + 2 =4 or 2 x 3 = 6
An expression (algebraic expression) is a combination of numbers and variables (letters) which represent a a pattern. expression do not have an equal sign.
A variable is a symbol for a number we don't know yet. It is usually a letter like x or y. Expressions can incorporate any operation (plus, minus, times, divide)
Example: x + 2 = 6, x is the variable.
x - 2 = 6
3x = 6
x/2 = 6
Addition Words - Add, Altogether, Both, In all, Sum, Total
Subtraction Words - Difference, Fewer, How many more, How much more, Left, Less, Minus, Need to, Remains, Words ending with "er"; higher, longer, faster, heavier, larger, shorter, slower, farther, etc.
Multiplication Words - Times, , At this rate, each
Division Words - Each
For instance: 7, 8, 9, 10, 11 Can translate into the pattern rule - start at 7 and add 1 each time. Putting this pattern into a chart will help us understand it more. When you put this pattern into a chart you can start to see a clear pattern. Now we have to choose one of the columns as a variable. the other column will represent the algebraic expression. Can you think of an expression for the following pattern?