Solving Equations with Variables on Both Sides

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to isolate the variable terms on one side of the equation by adding or subtracting terms from both sides.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of the same variable.

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 7p - 5 = 6p + 8?

Back

p = 13.

Front

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

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 5x + 15 = 10x - 40?

Back

x = 11.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance ensures that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.

Front

What is the solution to the equation 11z - 5 = 9z + 7?

Back

z = 6.

Front

What is the solution to the equation 4k + 24 = 6k - 10?

Back

k = 17.

Front

What is the solution to the equation 3x - 32 = -7x + 28?

Back

x = 6.