One Solution, No Solution, Many Solutions

Front

What is the definition of 'One Solution' in equations?

Back

An equation has 'One Solution' when there is exactly one value of the variable that satisfies the equation.

Tags

CCSS.7.EE.B.4A

Front

What does 'No Solution' mean in the context of equations?

Back

'No Solution' means that there is no value of the variable that can satisfy the equation, often because the two sides are contradictory.

Tags

CCSS.8.EE.C.7A

Front

What does 'Many Solutions' indicate in an equation?

Back

'Many Solutions' indicates that there are infinitely many values of the variable that satisfy the equation, typically when the equation simplifies to a true statement.

Tags

CCSS.8.EE.C.7A

Front

For which value of y will the equation 9x - 3 = 9x - y have an infinite number of solutions?

Back

y = 3.

Tags

CCSS.8.EE.C.7A

Front

This type of equation has different coefficients: One Solution, Many Solutions, or No Solution?

Back

One Solution.

Tags

CCSS.8.EE.C.7B

Front

How many solutions does the equation −5x + 5 − 4x = −1 − 9x have?

Back

No Solutions.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the equation 4y + 5 = 4y - 7 have?

Back

No Solution.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the equation −2x + 9 + 6x = −3x + 2 have?

Back

One Solution.

Tags

CCSS.8.EE.C.7A

Front

What is the general form of an equation with infinitely many solutions?

Back

An equation that simplifies to a true statement, such as 0 = 0.

Tags

CCSS.8.EE.C.7A

Front

What is an example of an equation with no solution?

Back

An equation like 2x + 3 = 2x + 5, which simplifies to 3 = 5.

Tags

CCSS.8.EE.C.7A