Solving Equations

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What is a like term in algebra?

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Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

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How do you combine like terms?

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To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 2x + 3x = 5x.

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What is the first step in solving the equation 3x = 27?

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The first step is to isolate x by dividing both sides of the equation by 3, resulting in x = 9.

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How do you solve the equation 8 = m - 12?

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To solve for m, add 12 to both sides of the equation: m = 8 + 12, which simplifies to m = 20.

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What does it mean to isolate a variable?

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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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To solve for x, multiply both sides by 7: x - 4 = 21. Then add 4 to both sides: x = 25.

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Multiply both sides by 4 to isolate c: c = 4 * 4, which simplifies to c = 16.

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What is the purpose of checking your solution in an equation?

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Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

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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, typically containing one or more variables.

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What does it mean to simplify an expression?

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Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any necessary operations.