Solving Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

Get the variable on one side by moving all terms involving x to one side of the equation.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side, allowing for its value to be determined.

Front

What is the solution to the equation 4x - 5x + 9 = 5x - 9?

Back

x = 3

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation, making it easier to solve for the variable.

Front

Solve for x: 14p - 8 = 22 + 20p

Back

p = -5

Front

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

Back

To verify that the solution satisfies the original equation, ensuring accuracy.

Front

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

Back

It indicates that the equation can be solved by rearranging terms to isolate the variable.

Front

What is the first step to solve the equation -11 - 3x = 44 - 2x?

Back

Get the variable on one side.