Writing Equations & Inequalities and Funtions Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥, indicating that one expression is less than, greater than, or equal to another.

Front

How do you represent a real-world situation with an inequality?

Back

You identify the quantities involved, determine the relationship between them, and use an inequality symbol to express the condition (e.g., total cost must be less than a budget).

Front

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

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be either less than or equal to the value on the right.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input, meaning no two ordered pairs can have the same first element.

Front

How can you determine if a set of ordered pairs represents a function?

Back

Check if any first elements (x-values) are repeated; if they are, the set does not represent a function.

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 or less than another.

Front

How do you solve a simple inequality?

Back

To solve a simple inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while maintaining the direction of the inequality.

Front

What is the importance of the constant term in an inequality?

Back

The constant term represents a fixed value that can affect the solution set of the inequality, determining the range of possible values for the variable.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line involves shading the region that satisfies the inequality and using open or closed circles to indicate whether endpoints are included.

Front

How do you write an inequality from a word problem?

Back

Identify the key quantities and their relationships, then translate the conditions into an inequality using appropriate symbols.