Word Problems Multi-Step Equations

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 set up an equation for a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up an equation that represents the situation described in the problem.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

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

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

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

Back

The first step is to simplify both sides of the equation by combining like terms and using the distributive property if necessary.

Front

How do you check your solution to a multi-step equation?

Back

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

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

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

Back

It means that the total expenses from two different options are the same, allowing for comparison to determine the better choice.

Front

How do you write an equation from a word problem involving costs?

Back

Identify the fixed costs and variable costs, then express the total cost for each option as an equation.