Solving equations with variables on each side

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 each side?

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 5x - 14 = 8x + 4?

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 the coefficients of the same variable.

Front

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

Back

x = -6.

Front

What is the solution to the equation 4x + 3 = 2x - 3?

Back

x = -3.

Front

What is the solution to the equation 14x - 20 = 22 + 21x?

Back

x = -6.

Front

What is the solution to the equation 10x - 8 = 20 - 4x?

Back

x = 2.