Solving Equations

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What is an equation?
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An equation is a mathematical statement that asserts the equality of two expressions.
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What is a variable in an equation?
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A variable is a symbol, usually a letter, that represents one or more unknown values.
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What does it mean to solve an equation?
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To solve an equation means to find the value of the variable that makes the equation true.
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Solve the equation: x + 5 = 12
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x = 7
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Solve the equation: 2x = 14
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x = 7
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What is a linear equation?
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A linear equation is an equation where the highest power of the variable is one.
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Solve the equation: x/3 = 4
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x = 12
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What are like terms?
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Like terms are terms that contain the same variables raised to the same power.
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Solve the equation: 5x - 3 = 12
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x = 3
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Solve the equation: 3 + 2x = 11
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x = 4
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What is the first step in solving 2(x - 3) = 8?
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First, distribute the 2 to both terms inside the parentheses.
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How do you check if a solution is correct?
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Substitute the value back into the original equation to see if both sides are equal.
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Solve the equation: x - 7 = 10
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x = 17
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When solving an equation with fractions, what is a common first step?
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Multiply every term by the Least Common Denominator (LCD) to clear fractions.
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What is an example of a simple equation?
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An example is x + 2 = 5, where solving gives x = 3.
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