Multi-Step Equations/Inequalities Contextual Problems Practice

Front

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.

Front

How do you represent a situation with an inequality?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you isolate a variable in an equation?

Back

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

Front

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

Back

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

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

Back

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

Front

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

Back

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

Front

How do you graph an inequality on a number line?

Back

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.

Front

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

Back

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