Solving Equations with Variables on Both Sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What are variables in an equation?

Back

Variables are symbols (usually letters) that represent unknown values in an equation.

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving an equation like 2x = x + 3?

Back

The first step is to get all terms containing the variable on one side and constant terms on the other side.

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 solution to the equation 2x = x + 3?

Back

The solution is x = 3.

Front

How do you solve the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms to get -x + 9 = 5x - 9, then isolate x to find x = 3.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

The solution is t = 6.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.