Is it a solution? Equations

Front

What is a solution in the context of an equation?

Back

A solution is a value of the variable that makes the equation true when substituted into it.

Front

How do you determine if a given value is a solution to an equation?

Back

Substitute the value into the equation and check if both sides are equal.

Front

What does it mean to match a solution to its corresponding equation?

Back

It involves identifying which equation is satisfied by the given solution.

Front

What is the equation represented by m = 9?

Back

The equation is 18 ÷ m = 2.

Front

What is the solution to the equation 3a = 18?

Back

The solution is a = 6.

Front

How do you verify if g = 11 is a solution to g - 3 = 7?

Back

Substitute g = 11 into the equation: 11 - 3 = 8, which is not equal to 7, so it is not a solution.

Front

What is the solution to the equation 8 + w = 11?

Back

The solution is w = 3.

Front

What is the importance of checking solutions in equations?

Back

Checking solutions ensures that the proposed values satisfy the equation, confirming their validity.

Front

What is an example of a false solution?

Back

If you claim w = 4 is a solution to 8 + w = 11, it is false because 8 + 4 = 12, not 11.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.