Equations with Variables on Both Sides

Front

What is the first step to solve an equation with variables on both sides?

Back

The first step is to isolate the variable on one side of the equation by moving all terms involving the variable to one side and constant terms to the other side.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of the same variable or constant terms.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, allowing you to solve for its value.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

The solution is x = -3.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

The solution is t = 6.

Front

What is the process for solving the equation 7w + 5 = 3w - 15?

Back

First, subtract 3w from both sides to get 4w + 5 = -15, then subtract 5 from both sides to get 4w = -20, and finally divide by 4 to find w = -5.

Front

What is the solution to the equation 7x = 3x + 24?

Back

The solution is x = 6.

Front

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

Back

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

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

The solution is y = 4.