Solving Multistep Equations and Inequalities

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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.

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How do you isolate a variable in an equation?

Back

To isolate a variable, 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?

Back

Solving an inequality involves finding the range of values that satisfy the inequality, often represented on a number line.

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Back

x = 0.

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Back

x > -22.

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What does it mean if an equation has 'no solution'?

Back

'No solution' means that there are no values that can satisfy the equation.

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What does it mean if an equation has 'all real numbers' as a solution?

Back

'All real numbers' means that any value for the variable will satisfy the equation.

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Identify the error in Rajendra's calculation if he made a mistake in Step 3.

Back

The error occurred in Step 3.

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All real numbers or infinite solutions.

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How do you graph the solution to an inequality?

Back

To graph an inequality, draw a number line and use an open or closed circle to indicate whether the endpoint is included, then shade the appropriate region.