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7 Cards in this Set
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Equation
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An equation is a number sentence that says that the expression on either side of the equals sign, =, represent the same number.
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The replacements for the variable that make an equation true are called?
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The replacements for the variable that make an equation true are called the "solutions" of the equation.
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The set of all solutions is called?
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The set of all solutions is called the "solution set" of the equation.
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When we find all the solutions, we say?
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When we find all the solutions, we say that we have solved the equation.
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Equivalent equations
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Equations with the same solutions are called "equivalent equations".
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The addition principle
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For any real numbers a, b, and c,
a = b is equivalent to a + c = b + c. |
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The multiplication principle
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For any real numbers a, b, and c, c ≠ 0,
a = b is equivalent to a • c = b • c |