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.

Tags

CCSS.6.EE.B.5

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.

Tags

CCSS.HSA.CED.A.3

Front

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

Back

The solution is a = 6.

Tags

CCSS.6.EE.B.7

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.

Tags

CCSS.6.EE.B.5

Front

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

Back

The solution is w = 3.

Tags

CCSS.6.EE.B.7

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.

Tags

CCSS.6.EE.B.5

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.

Tags

CCSS.7.EE.B.4A