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 one or more 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 the equation 2(x + 6) + 3 = 9 + 5x?

Back

Distribute the 2 to both terms inside the parentheses: 2x + 12 + 3 = 9 + 5x.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable terms to simplify the equation.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

What is the solution to the equation -5k + 10 = -2k - 14?

Back

k = 8.

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.