Introduction to Equations

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What is an equation in math?
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An equation is a mathematical statement that shows the equality of two expressions.
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Can you give an example of a simple equation?
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Yes, an example is 2 + 3 = 5.
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What does the '=' symbol represent in an equation?
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The '=' symbol indicates that the values on both sides of it are equal.
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What is a variable in an equation?
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A variable is a symbol, like x or y, used to represent a number in an equation.
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How do you solve the equation x + 5 = 10?
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Subtract 5 from both sides to get x = 5.
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What type of equation is x - 3 = 7 an example of?
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It is an example of a linear equation.
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When you have 3x = 12, what do you do to solve for x?
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Divide both sides by 3 to find x = 4.
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What is the balanced method of solving equations?
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It involves performing the same operation on both sides of the equation to maintain balance.
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What happens if both sides of an equation have the same number added?
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The equation remains balanced and true.
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Can equations have more than one variable?
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Yes, they can, such as in the equation x + y = 10.
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What does it mean to 'isolate the variable'?
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It means to get the variable by itself on one side of the equation.
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If 5x = 25, what is the value of x?
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x = 5, since 25 divided by 5 is 5.
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How would you check if a solution to an equation is correct?
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Substitute the solution back into the original equation to see if it makes a true statement.
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What is an example of a nonlinear equation?
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x^2 = 16 is a nonlinear equation.
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Why are equations important in mathematics?
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They are used to find unknown values and solve problems in various fields of science and engineering.
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