Solving Multi-Step Equations and Inequalities Extra Credit

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What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

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How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

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What does it mean to solve an inequality?

Back

Solving an inequality involves finding the values of the variable that make the inequality true, often resulting in a range of possible solutions.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

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How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

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What is the first step in solving the equation 24 = 3(3x - 7)?

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The first step is to apply the distributive property to eliminate the parentheses: 24 = 9x - 21.

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What is the solution to the equation 49 = -5n - 2n?

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The solution is n = -7, found by combining like terms and isolating n.

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How do you handle negative coefficients in equations?

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When dealing with negative coefficients, you can multiply or divide both sides of the equation by -1 to simplify the equation.

Front

What is the process for solving the equation 3/4(6x + 2) = 15?

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Multiply both sides by the reciprocal of 3/4, then simplify and isolate x to find the solution.