Do Now: Is this a solution to an equation

Front

What is a solution to an equation?

Back

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

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 if a value is not a solution to an equation?

Back

It means that substituting the value into the equation does not satisfy the equation, resulting in an inequality.

Front

Evaluate: b ⋅ 5 = 20, when b = 3. Is b a solution?

Back

No, because 3 ⋅ 5 = 15, which is not equal to 20.

Front

Evaluate: 2 ⋅ v = 12 for v = 10. Is v a solution?

Back

No, because 2 ⋅ 10 = 20, which is not equal to 12.

Front

Evaluate: 3a = 18, when a = 6. Is a a solution?

Back

Yes, because 3 ⋅ 6 = 18, which is equal to 18.

Front

Evaluate: x + 1 = 5 for x = 4. Is x a solution?

Back

Yes, because 4 + 1 = 5, which is equal to 5.

Front

Evaluate: g - 3 = 7, when g = 11. Is g a solution?

Back

No, because 11 - 3 = 8, which is not equal to 7.

Front

What is the equation form of a solution?

Back

An equation form of a solution is typically written as 'variable operation = constant'.

Front

What is the importance of checking solutions in equations?

Back

Checking solutions ensures that the proposed value satisfies the equation, confirming its validity.