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 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 to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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 set up an equation from a word problem?

Back

Identify the variables, translate the words into mathematical operations, and write an equation that represents the situation described.

Front

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

Back

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

Front

How do you determine when two expressions are equal?

Back

Set the two expressions equal to each other and solve for the variable.

Front

What is the significance of the solution to a multi-step equation?

Back

The solution represents the value of the variable that makes the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

How do you check the solution of an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.