Multi-Step Equations, Inequalities, and 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 solve an inequality?

Back

Solving an inequality involves finding the values of the variable that make the inequality true, often resulting in a range of possible solutions.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

How can you represent a real-world situation with an equation?

Back

You can represent a real-world situation with an equation by identifying the quantities involved and expressing their relationships mathematically.

Front

What is the first step in solving a word problem?

Back

The first step in solving a word problem is to read the problem carefully and identify the known and unknown quantities.

Front

How do you set up an equation from a word problem?

Back

To set up an equation from a word problem, translate the words into mathematical expressions and use variables to represent unknown quantities.

Front

What is a solution to an equation?

Back

A solution to an equation is a value for the variable that makes the equation true when substituted into it.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

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

Back

To solve for a variable in a multi-step equation, use inverse operations in the correct order: undo addition/subtraction first, then multiplication/division.