Solving Equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation -5k + 10 = -2k - 14?

Back

Add 2k to both sides to start isolating k.

Front

What does it mean to combine like terms?

Back

It means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3.

Front

What is the solution to the equation 22 + 2a = 37 + 6 + a?

Back

a = 21.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is the result of moving terms from one side of the equation to the other?

Back

You must perform the opposite operation to maintain equality.

Front

What does it mean to have a variable on both sides of an equation?

Back

It indicates that the equation may require rearranging to solve for the variable.

Front

What is the first step to solve the equation 3x + 6 = 10 + 3x + 4x?

Back

Combine like terms 3x and 4x on the same side of the equation.