Solving & Writing Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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 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 isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the purpose of writing an inequality?

Back

Writing an inequality helps to express a range of possible solutions rather than a single solution, often used in real-world scenarios.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does 'c' represent in the equation 15c > 1800 + 10c?

Back

In this equation, 'c' represents the number of cakes that need to be sold to achieve a profit.

Front

What is the first step in solving the inequality 3.5x + 25 < 7.5x + 17?

Back

The first step is to subtract 3.5x from both sides to begin isolating the variable x.

Front

What does the term 'profit' mean in a business context?

Back

Profit is the financial gain obtained when the revenue from sales exceeds the costs of production.

Front

How can you represent a real-world situation with an equation?

Back

You can represent a real-world situation with an equation by identifying the quantities involved and their relationships, then translating them into mathematical expressions.