The Steps Of Equations
Published on Feb 06, 2016
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PRESENTATION OUTLINE
1 step equations
Your goal is to get the variable that you are solving for by itself on one side of the equation.
Example: x = _____
To eliminate a term on one side of the equation, you use the opposite mathematical operation.
Whatever you do to one side of the equation, you MUST do to the other side of the equation. This keeps the equation balanced!
Always check your answer by substituting the value back into the original equation.
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2 step equations
The strategy for getting the variable by itself with a coefficient of 1 involves using opposite operations. For example, to move something that is added to the other side of the equation, you should subtract. The most important thing to remember in solving a linear equation is that whatever you do to one side of the equation, you MUST do to the other side. So if you subtract a number from one side, you MUST subtract the same value from the other side. You will see how this works in the examples.
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1 step inequalities
The important thing about inequalities is that there can be multiple solutions. For example, the inequality “31 ≥ the number of days in a month” is a true statement for every month of the year—no month has more than 31 days. It holds true for January, which has 31 days (31 ≥ 31); September, which has 30 days (31 ≥ 30); and February, which has either 28 or 29 days depending upon the year (31 ≥ 28 and 31 ≥ 29).
The inequality x > y can also be written as y
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2 STEP INEQUALITIES
Sometimes there is a range of possible values to describe a situation. When you see a sign that says “Speed Limit 25,” you know that it doesn’t mean that you have to drive exactly at a speed of 25 miles per hour (mph). This sign means that you are not supposed to go faster than 25 mph, but there are many legal speeds you could drive, such as 22 mph, 24.5 mph or 19 mph. In a situation like this, which has more than one acceptable value, inequalities are used to represent the situation rather than
An inequality is a mathematical statement that compares two expressions using an inequality sign. In an inequality, one expression of the inequality can be greater or less than the other expression. Special symbols are used in these statements. The box below shows the symbol, meaning, and an example for each inequality sign.
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