Patterns
A student should be able to recognize the pattern of how numbers a changin in a sequence. At times the patterns are easy and start at a given number then increase by a given number ex) 3,5,7,9........ starts at 3 then increase by 2 each time Other times, there is a changing pattern. They begin with a number then they are changing by a increase or decrease in the pattern. ex) 5,6,8,11,14 ...... start at 5 then add one and increase your pattern by one each time. There even may be patterns that involve two steps. ex) 1,4,10,22,46..... multiply by 2 then add 2. |
Variables
Variables Variables are things that can change or have different values. In algebra, we are usually trying to solve for the answer to the variable. In algebraic equations, the variable is represented by a letter. Solving an Equation In the equation above we could just tell by looking at it that x = 2, however, this isn't always the case. Sometimes we have to solve for the equation. We can sometimes solve an equation by adding or subtracting the same number to both sides of the equation. We know this is okay, because as long as we perform the same operation to both sides, then the equation doesn't change. Let's try solving for this simple example by adding or subtracting to both sides: x + 5 = 7 We want to find out what x equals, so we need to get x by itself on one side of the equation. If we subtract 5 from the left side, x will be by itself. Following our earlier rule, we need to do the same to right side. (x + 5) - 5 = (7) - 5 x = 2 Things to Remember
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