Simple and Complex Equations

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What is a simple equation?
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A simple equation is an algebraic equation with only one variable and one operation, like addition or subtraction.
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Give an example of a simple equation.
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x + 3 = 5 is an example of a simple equation.
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How do you solve the simple equation x + 5 = 10?
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Subtract 5 from both sides to get x = 5.
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What is a complex equation?
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A complex equation is an equation that involves more than one operation, such as addition and multiplication.
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Give an example of a complex equation.
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2x + 3 = 7 is an example of a complex equation.
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How do you solve 3x - 4 = 11?
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Add 4 to both sides to get 3x = 15, then divide by 3 to get x = 5.
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What does it mean to isolate the variable in an equation?
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Isolating the variable means rearranging the equation to get the variable on one side of the equation by itself.
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What is the first step in solving the equation 2x - 6 = 4?
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Add 6 to both sides to start solving the equation.
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How do you check if your solution to an equation is correct?
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Substitute the solution back into the original equation and verify both sides are equal.
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What operation would you perform first in the equation 4x + 3 = 19?
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Subtract 3 from both sides to start solving.
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What should you do if an equation has fractions?
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Clear the fractions by multiplying all terms by the denominator.
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How would you solve the complex equation 5x + 2 = 3x - 4?
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Subtract 3x from both sides and then subtract 2 from both sides to solve for x.
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What is the goal when solving equations?
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The goal is to find the value of the unknown variable that makes the equation true.
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How do you solve the equation x/2 + 3 = 7?
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Subtract 3 from both sides, then multiply both sides by 2 to solve for x.
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Why is it important to perform the same operation on both sides of an equation?
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To maintain the balance of the equation and ensure both sides remain equal.
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