Equation and Inequalities Word Problems

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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, or not equal to the other.

Front

What does 'at least' mean in terms of inequalities?

Back

'At least' means that the value must be greater than or equal to a certain number, represented by the symbol ≥.

Front

How do you represent 'less than' in an inequality?

Back

'Less than' is represented by the symbol <.

Front

How do you represent 'greater than or equal to' in an inequality?

Back

'Greater than or equal to' is represented by the symbol ≥.

Front

What is the first step in solving a word problem involving equations?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you set up an equation from a word problem?

Back

Translate the words into mathematical expressions and set them equal to each other based on the problem's context.

Front

What does the term 'solution' mean in the context of equations?

Back

A solution is a value or set of values that satisfy the equation, making both sides equal.

Front

What is the importance of checking your solution in a word problem?

Back

Checking your solution ensures that it makes sense in the context of the problem and satisfies the original equation.

Front

How can you represent a situation where a person earns money based on hours worked?

Back

You can represent it with an inequality, such as 15h ≥ 105, where h is the number of hours worked.