Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean for a solution to satisfy an inequality?

Back

A solution satisfies an inequality if it makes the inequality true when substituted into it.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.

Front

How do you graph a linear inequality on a number line?

Back

To graph a linear inequality on a number line, use an open circle for strict inequalities and a closed circle for non-strict inequalities, then shade the appropriate side.

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 determine if a point is a solution to an inequality?

Back

Substitute the point into the inequality; if the resulting statement is true, then the point is a solution.

Front

What does the notation x < a represent?

Back

The notation x < a means that x is less than a, indicating all values of x that are to the left of a on a number line.

Front

What does the notation x ≥ b represent?

Back

The notation x ≥ b means that x is greater than or equal to b, indicating all values of x that are to the right of b on a number line, including b.