Solving Equations With Variables on Both Sides

Front

What is the goal of solving equations with variables on both sides?

Back

To find the value of the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations on both sides of the equation.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation.

Front

What is the first step in solving the equation 2x = x + 3?

Back

Subtract x from both sides to get x = 3.

Front

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

Back

By substituting the solution back into the original equation.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.

Front

What is the process to solve the equation 6z = 49 - z?

Back

Add z to both sides to get 7z = 49, then divide by 7 to find z = 7.

Front

What does it mean to have a variable equal to zero in an equation?

Back

It means that the variable does not affect the outcome of the equation.

Front

How do you solve the equation a + 5 = -5a + 5?

Back

Add 5a to both sides to get 6a + 5 = 5, then subtract 5 and divide by 6 to find a = 0.

Front

What is the importance of balancing an equation?

Back

To ensure that both sides of the equation remain equal after performing operations.