Assume a, b, and c represent real numbers.
Property | Definition | Example |
---|---|---|
Addition | If a = b, then a + c = b + c. | If x = 12, then x + 3 = 12 + 3. |
Subtraction | If a = b, then
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If x = 12, then
|
Multiplication | If a = b, then
|
If x = 12, then
|
Division | If a = b, then
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If x = 12, then
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Solving an equation that contains a variable means finding all values of the variable that make the equation true. Such a value is a solution of the equation. To find a solution, isolate the variable on one side of the equation using inverse operations.
Inverse operations are operations that “undo” each other. Addition and subtraction have this inverse relationship, as do multiplication and division.
What is the solution of
How can you isolate the variable?
To isolate the variable, you have to remove the +4 from the left side of the equation.
GRIDDED RESPONSE
What is the solution of
How do you solve an equation with the variable on both sides?
Choose a side for the variable and remove it from the other side.