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

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

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

Back

x = -6

Front

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

Back

Combining like terms means to simplify expressions by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 3x + 6 = 10 + 3x + 4x?

Back

Combine like terms 3x and 4x on the same side of the equation.

Front

Solve for x: 7x - 4 = 3 + 8x

Back

x = -7

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides to start isolating x.

Front

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

Back

x = -3

Front

What does it mean to distribute in an equation?

Back

To multiply each term inside a parenthesis by the term outside the parenthesis.