Linear Equations, Inequalities and Literal Equations

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What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

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 a literal equation?

Back

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

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What does it mean when an equation has no solution?

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An equation has no solution when there are no values that can be substituted for the variable to make the equation true.

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What does it mean when an equation has many solutions?

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An equation has many solutions when any value of the variable satisfies the equation.

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How do you graph a linear equation?

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To graph a linear equation, you can find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through those points.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.