solve for x

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of the variable x that makes an equation true.

Front

What is the first step in solving the equation x - 2 = 2x + 1?

Back

The first step is to isolate the variable x by moving all terms involving x to one side of the equation.

Front

In the equation x + 5 = 4x + 2, how do you start solving for x?

Back

You can start by subtracting x from both sides to get all x terms on one side.

Front

What is the solution to the equation 2x + 5x + 11 = 53?

Back

The solution is x = 6.

Front

How do you check if x = -3 is the correct solution for x - 2 = 2x + 1?

Back

Substitute -3 into the equation: -3 - 2 = 2(-3) + 1, which simplifies to -5 = -5, confirming it's correct.

Front

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

Back

Combining like terms involves adding or subtracting coefficients of the same variable to simplify the equation.

Front

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

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 3x - 4 = x + 10?

Back

The solution is x = 7.

Front

In the equation x + 7 = 3x + 3, what is the first step to solve for x?

Back

The first step is to subtract x from both sides to get all x terms on one side.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.