Writing Equations from Word Problems

Front

What is an equation?

Back

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

Front

What does it mean to model a situation with an equation?

Back

Modeling a situation with an equation means creating a mathematical representation of a real-world scenario using variables and constants.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 15 or 40 in equations.

Front

How do you identify the total cost in a word problem?

Back

The total cost is usually represented by the variable y in equations, which is the result of adding fixed fees and variable costs.

Front

What is a service fee in a word problem?

Back

A service fee is a one-time charge added to the total cost, regardless of the number of services provided.

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the quantities involved, assign variables, and express the relationships using mathematical operations.

Front

What does 'per hour' mean in a word problem?

Back

'Per hour' indicates a rate of charge for each hour of service provided, often represented as a coefficient of the variable.

Front

What does 'plus' indicate in an equation?

Back

'Plus' indicates addition, showing that two or more quantities are combined to find a total.

Front

What does 'longer than' mean in a word problem?

Back

'Longer than' indicates that one quantity exceeds another by a certain amount, often leading to an equation involving addition.