solve for x

Front

What is the goal when solving for x in an equation?

Back

The goal is to isolate the variable x on one side of the equation to find its value.

Front

What is the first step to solve the equation x - 2 = 2x + 1?

Back

Subtract x from both sides to simplify the equation.

Front

How do you solve the equation 3x - 4 = x + 10?

Back

First, subtract x from both sides, then add 4 to both sides to isolate x.

Front

What is the solution to the equation x + 7 = 2x + 2?

Back

The solution is x = 5.

Front

What operation would you perform first to solve 3x - 7 = 28?

Back

You would add 7 to both sides of the equation.

Front

What is the solution to the equation 5x + 1 = x + 1?

Back

The solution is x = 0.

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

What is the importance of balancing an equation when solving for x?

Back

Balancing an equation ensures that both sides remain equal after performing operations.

Front

What is a common mistake when solving linear equations?

Back

A common mistake is forgetting to perform the same operation on both sides of the equation.

Front

What is the principle of inverse operations in solving equations?

Back

Inverse operations are used to undo operations performed on a variable, helping to isolate it.