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 (often letters) 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 3r + 7 = 10r + 28?

Back

The first step is to move all terms involving the variable to one side of the equation.

Front

How do you isolate the variable in the equation 3r + 7 = 10r + 28?

Back

Subtract 3r from both sides to get 7 = 7r + 28.

Front

What is the next step after simplifying 7 = 7r + 28?

Back

Subtract 28 from both sides to get -21 = 7r.

Front

How do you solve for r in the equation -21 = 7r?

Back

Divide both sides by 7 to find r = -3.

Front

What is the solution to the equation 7n + 2 = 4n + 17?

Back

The solution is n = 5.

Front

What is the solution to the equation 3x - 8 = -4x + 13?

Back

The solution is x = 3.