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

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 5x - 14 = 8x + 4?

Back

Subtract 5x from both sides to begin isolating the variable.

Front

What is the solution to the equation 7x = 4x + 33?

Back

x = 11.

Front

What does it mean to combine like terms in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.

Front

What is the solution to the equation 12x - 15 = 3(2x + 3)?

Back

x = 4.

Front

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

Back

By substituting the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 8w - 8 = -4w + 16?

Back

w = 2.

Front

What is the purpose of using parentheses in equations?

Back

To indicate that the operations inside the parentheses should be performed first according to the order of operations.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

f = -6.