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 (like x, y, or k) that represent unknown values in mathematical expressions or equations.

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 the equation 7x - 4 = 3 + 8x?

Back

The first step is to get all terms involving 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 3c + 5 = 23?

Back

c = 6.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is alone on one side.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.