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 a multi-step equation from a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up an equation based on the relationships described in the problem.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable alone on one side of the equation.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

How do you find the total earnings of two people working the same hours with different pay rates?

Back

Set up an equation that combines their earnings: Total Earnings = (Hourly Rate 1 * Hours) + (Hourly Rate 2 * Hours) + Tips.

Front

What is the formula for the cost of renting a car based on daily rate and mileage?

Back

Cost = Daily Rate + (Cost per Mile * Number of Miles Driven).

Front

How do you determine when two rental agencies cost the same?

Back

Set the cost equations of both agencies equal to each other and solve for the variable representing miles driven.

Front

What is the relationship between the length and width of a rectangle if the length is defined in terms of the width?

Back

If the length is defined as '5 less than twice the width', it can be expressed as Length = 2(Width) - 5.

Front

How do you solve for a variable in a multi-step equation?

Back

Use inverse operations to isolate the variable, performing the same operation on both sides of the equation.

Front

What is a tip in the context of earnings?

Back

A tip is an additional amount of money given to service workers, often based on the quality of service provided.