Solving Equations Review

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How do you set up an equation for the following scenario? Bowman had 30 pieces of candy and gave away x pieces. Rose started with 40 pieces of candy and gave away twice as many pieces as Bowman. How many pieces did Bowman give away if they ended up with the same amount of candy left?

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What equation represents the situation where John has a 300 ft head start and runs at 250 ft/min while Mary runs at 400 ft/min?

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What is the definition of a variable in algebra?

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A variable is a symbol (often a letter) that represents an unknown value in mathematical expressions or equations.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

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What is the distributive property in algebra?

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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 to see if both sides are equal.