Ch.2 Equations with Variables on Both Sides

Front

What is the first step to solve the equation 5x - 14 = 8x + 4?

Back

Get the variables on one side.

Front

How do you isolate the variable in the equation 12k + 15 = 35 + 2k?

Back

Subtract 2k from both sides and then subtract 15 from both sides.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

p = -5.

Front

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

Back

It means that the variable appears on both sides of the equation, requiring manipulation to isolate it.

Front

What is the general strategy for solving equations with variables on both sides?

Back

Move all terms containing the variable to one side and constant terms to the other side.

Front

In the equation -11 - 3x = 44 - 2x, what should you do first?

Back

Get the variables on one side.

Front

What is the importance of checking your solution after solving an equation?

Back

To ensure that the solution satisfies the original equation.

Front

What is the result of combining like terms in the equation 5x - 14 = 8x + 4?

Back

You can simplify it to -3x = 18.

Front

What does it mean to 'isolate the variable' in an equation?

Back

To manipulate the equation so that the variable is alone on one side.