3B: Equations with Variables on Both Sides

Front

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

Back

The goal is to find the value of the variable.

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is a coefficient?

Back

A numerical factor that multiplies a variable in an equation.

Front

What is a constant in an equation?

Back

A fixed value that does not change.

Front

How do you solve an equation with variables on both sides?

Back

You can move the variable terms to one side and the constant terms to the other side.

Front

What is the first step in solving the equation 3x + 5 = 2x + 10?

Back

Subtract 2x from both sides to get x terms on one side.

Front

What does it mean to check your solution in an equation?

Back

To substitute the found value back into the original equation to verify it satisfies the equation.

Front

What is the solution to the equation 4x - 3 = 2x + 5?

Back

x = 4.

Front

What is the importance of balancing an equation?

Back

To ensure that both sides of the equation remain equal after performing operations.