Balancing Equations

Front

What is the principle of balancing equations in mathematics?

Back

The principle of balancing equations states that both sides of an equation must be equal. This is achieved by performing the same operation on both sides.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you need to perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving an equation like 4 + 6 = ___ + 3?

Back

The first step is to simplify both sides of the equation if possible and then isolate the variable.

Front

In the equation 18 + 5 = ___ + 9, what is the value of the blank?

Back

The value of the blank is 14.

Front

What operation would you perform to both sides of the equation 4 + 6 = ___ + 3 to find the blank?

Back

You would subtract 3 from both sides of the equation.

Front

What is the solution to the equation 5 + ___ = 4 + 4?

Back

The solution is 3.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the value of the blank in the equation ___ + 9 = 12 + 6?

Back

The value of the blank is 9.

Front

In the equation 15 + ___ = 13 + 4, how do you find the value of the blank?

Back

You would first simplify the right side to get 15 + ___ = 17, then subtract 15 from both sides to find the blank.

Front

What is the result of 13 + 4?

Back

The result is 17.