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?

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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 does it mean to solve an inequality?

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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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What is the first step in solving the inequality 6(n + 2) < -72?

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The first step is to distribute the 6 to both terms inside the parentheses, resulting in 6n + 12 < -72.

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How do you check your solution for an inequality?

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To check your solution, substitute a value from the solution set back into the original inequality to see if it holds true.

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What does the solution 'n < -14' represent on a number line?

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The solution 'n < -14' represents all numbers to the left of -14 on the number line, not including -14 itself.

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What is the significance of the inequality symbol '≥'?

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The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

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How do you solve the equation 24 = 3(3x - 7)?

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First, distribute the 3 to get 24 = 9x - 21, then add 21 to both sides to get 45 = 9x, and finally divide by 9 to find x = 5.

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What is the process of combining like terms in an equation?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify the equation.