Solving Mult-Step Equations/Inequalities & Literal Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that makes the equation true.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤.

Front

How do you solve an inequality?

Back

You isolate the variable on one side of the inequality using inverse operations, similar to solving equations.

Front

What is a literal equation?

Back

An equation that involves two or more variables and is solved for one variable in terms of the others.

Front

What does it mean to simplify an equation?

Back

To reduce the equation to its simplest form by combining like terms and eliminating parentheses.

Front

What is the first step in solving the equation 3x - 8 = 3(x - 4) + 1?

Back

Distribute the 3 on the right side: 3x - 8 = 3x - 12 + 1.

Front

What is the solution to the inequality -6a ≥ -36?

Back

a ≤ 6.

Front

What is the common mistake when solving equations?

Back

Not applying the same operation to both sides of the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.