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 sides of the equal sign, 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 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides to begin isolating the variable.

Front

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

Back

x = -3

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7

Front

What does it mean to have a negative solution in an equation?

Back

It means that the value of the variable is less than zero.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

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

Back

To verify that the solution satisfies the original equation and is correct.

Front

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

Back

x = -6

Front

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

Back

Adding or subtracting terms that have the same variable and exponent to simplify the equation.