Multi-Step Equations Word Problems

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you set up an equation for a word problem involving costs?

Back

Identify the fixed costs and variable costs, then express the total cost as an equation where the total costs of different options are set equal to each other.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation if possible, which may include combining like terms or distributing.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean for two costs to be equal in a word problem?

Back

It means that the total costs of two different options can be expressed as an equation that can be solved to find the point at which they are the same.

Front

What is the significance of the slope in a cost equation?

Back

The slope represents the variable cost per unit, indicating how much the total cost increases with each additional unit.

Front

How can you determine the number of rides needed for two fairs to be equal in cost?

Back

Set up an equation where the total cost of rides for both fairs is equal and solve for the number of rides.

Front

What is the role of the y-intercept in a cost equation?

Back

The y-intercept represents the fixed cost or initial fee before any variable costs are added.

Front

How do you interpret the solution of a multi-step equation in a real-world context?

Back

The solution represents the quantity at which two different scenarios yield the same total cost or value.

Front

What is a variable in the context of an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.