Is it a solution? Equations

Front

What is a solution in the context of an equation?

Back

A solution is a value or set of values that, when substituted into an equation, makes the equation true.

Front

How do you determine if a 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 the solution to the equation it solves'?

Back

It means to identify which equation is satisfied by a given solution.

Front

What is the solution to the equation 3 ⋅ y = 6?

Back

The solution is y = 2.

Front

If g - 3 = 7, what is the value of g?

Back

g = 10.

Front

Is t = 5 a solution to the equation 4t = 20?

Back

Yes, because substituting 5 for t gives 4(5) = 20, which is true.

Front

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

Back

The solution is a = 6.

Front

If x + 6 = 14, what is the value of x?

Back

x = 8.

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 does it mean if a proposed solution does not satisfy the equation?

Back

It means that the proposed value is not a solution to the equation.