Solving Multi-Step Equations & Inequalities

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

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

Back

The first step is usually to simplify both sides of the equation by combining like terms and eliminating parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the range of values that make the inequality true, often resulting in a solution set.

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

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is the solution to the inequality x - 5 < 3?

Back

x < 8.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.