Multi-Step Equations/Inequalities Contextual Problems Practice

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What is a multi-step equation?

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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.

Tags

CCSS.8.EE.C.7B

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How do you represent a situation with an inequality?

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You represent a situation with an inequality by using symbols like <, >, ≤, or ≥ to show the relationship between two expressions.

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CCSS.6.EE.B.8

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What does the symbol '≤' mean in an inequality?

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The symbol '≤' means 'less than or equal to', indicating that one value is either less than or equal to another.

Tags

CCSS.6.EE.B.8

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What is the first step in solving a multi-step equation?

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The first step is to simplify both sides of the equation, which may involve combining like terms or distributing.

Tags

CCSS.8.EE.C.7B

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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 get the variable alone on one side of the equation.

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CCSS.7.EE.B.4A

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What is the purpose of using inequalities in real-life situations?

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Inequalities are used to express limits or constraints in real-life situations, such as budgets or maximum capacities.

Tags

CCSS.6.EE.B.8

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How can you check if your solution to an inequality is correct?

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You can check your solution by substituting the value back into the original inequality to see if it holds true.

Tags

CCSS.6.EE.B.8

Front

What is the difference between a linear equation and a linear inequality?

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A linear equation shows equality between two expressions, while a linear inequality shows a relationship that is not necessarily equal.

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How do you graph an inequality on a number line?

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To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Tags

CCSS.6.EE.B.8

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What does it mean for a solution to be 'extraneous'?

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An extraneous solution is a solution that does not satisfy the original equation or inequality, often arising from the solving process.

Tags

CCSS.HSA.REI.A.2