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 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

It means to add or subtract terms that have the same variable raised to the same power.

Front

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

Back

x = -3

Front

What is the solution to the equation 6(5g + 2) = 30g?

Back

No solution, as the equation simplifies to a false statement.

Front

What is the first step to solve 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 checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.