Test #12 - Algebra 3

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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How do you solve a system of linear equations using substitution?

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1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

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What is the solution to the system of equations: x - 4y = -4 and x + 2y = 8?

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(4, 2)

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What is an exponential equation?

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This is the product of powers property, which allows you to add the exponents when multiplying like bases.

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What is the definition of a logarithm?

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A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number?

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How do you convert an exponential equation to a logarithmic form?

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