Solving Multistep Equations and Inequalities

Front

What is a multistep equation?

Back

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

Front

What does it mean to solve an inequality?

Back

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

Front

What is the significance of the inequality symbol in an inequality?

Back

The inequality symbol indicates the relationship between two expressions, showing whether one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

How do you isolate a variable in a multistep equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What is the first step in solving the inequality 5(x - 4) + 2 ≤ -33?

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The first step is to distribute the 5 to both terms inside the parentheses: 5x - 20 + 2 ≤ -33.

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

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The solution is x > -22.

Front

What does it mean for an inequality to be 'true'?

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An inequality is 'true' if the values of the variable satisfy the relationship defined by the inequality.

Front

What is the difference between an equation and an inequality?

Back

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.

Front

What is a solution set in the context of inequalities?

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A solution set is the set of all values that satisfy the inequality.