Solving Mult-Step Equations/Inequalities & Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving multi-step equations?

Back

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

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to a variable, helping to isolate the variable.

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

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

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you solve an inequality?

Back

To solve an inequality, you isolate the variable using similar steps as solving an equation, but you must reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s).