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

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses, applying the distributive property.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

The first step is to distribute -4 to both a and -5.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of the same variable.

Front

What is the purpose of setting up an equation from a word problem?

Back

The purpose is to translate the problem into a mathematical expression that can be solved to find the unknown quantity.

Front

What does it mean for one quantity to be a fraction of another?

Back

It means that the first quantity is a part of the second quantity, expressed as a ratio.

Front

How do you solve for a variable in a word problem involving rates?

Back

You set up an equation based on the relationship between the quantities involved, then solve for the variable.

Front

What is the significance of the equation 2(1/4x - 7) = 1/3x + 4?

Back

This equation represents a relationship between two expressions involving a variable, which can be solved to find the value of x.

Front

How can you represent a situation where a person collects items over time?

Back

You can represent it with an equation that includes the initial amount and the rate of collection over time.