Solving Mult-Step Equations/Inequalities & Literal Equations

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What is a literal equation?

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A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Tags

CCSS.HSA.CED.A.4

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How do you isolate a variable in a literal equation?

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To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Tags

CCSS.HSA.CED.A.4

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What does it mean to solve an equation?

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Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

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What is the first step in solving multi-step equations?

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The first step is to simplify both sides of the equation by combining like terms and eliminating parentheses.

Tags

CCSS.8.EE.C.7B

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What is the purpose of using inverse operations in solving equations?

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Inverse operations are used to undo operations applied to a variable, helping to isolate the variable.

Tags

CCSS.7.EE.B.4A

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What is the solution to the equation 2x + 3 = 7?

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x = 2.

Tags

CCSS.7.EE.B.4A

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How do you check if your solution to an equation is correct?

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You substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

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How do you solve an inequality?

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To solve an inequality, you isolate the variable using similar steps as solving an equation, but you must reverse the inequality sign when multiplying or dividing by a negative number.

Tags

CCSS.6.EE.B.8

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What does it mean for two expressions to be equivalent?

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Two expressions are equivalent if they have the same value for all values of the variable(s).

Tags

CCSS.6.EE.A.4