3-4 Writing Multi-Step Equations from 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. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you represent a word problem as an equation?

Back

To represent a word problem as an equation, identify the quantities involved, define variables for unknowns, and translate the relationships and operations described in the problem into mathematical expressions.

Front

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

Back

Isolating a variable means manipulating the equation to get the variable on one side of the equation by itself, allowing you to solve for its value.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Front

How do you combine like terms in an equation?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2L + 2W, where L is the length and W is the width.

Front

How do you set up an equation from a scenario involving costs?

Back

Identify the fixed costs and variable costs, define variables for the unknowns, and create an equation that equates the total costs of different options.

Front

What is a variable in an equation?

Back

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

Front

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

Back

To solve for a variable, perform inverse operations to isolate the variable on one side of the equation, simplifying step by step.

Front

What does it mean for two expressions to be equal?

Back

Two expressions are equal when they represent the same value, which can be shown by setting them equal to each other in an equation.