No Solution, One Solution, Infinite Solutions

Front

What does it mean when an equation has 'No Solution'?

Back

An equation has 'No Solution' when there are no values for the variable that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

Tags

CCSS.8.EE.C.7A

Front

What does it mean when an equation has 'One Solution'?

Back

An equation has 'One Solution' when there is exactly one value for the variable that satisfies the equation. This is typically the case when the variable can be isolated to find a specific number.

Tags

CCSS.7.EE.B.4A

Front

What does it mean when an equation has 'Infinite Solutions'?

Back

An equation has 'Infinite Solutions' when any value for the variable satisfies the equation. This occurs when both sides of the equation are equivalent after simplification.

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 9y + 8 = 9y - 8

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 12(y + 2) = 6(2y + 4)

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: -10y - 6 = -10y - 6

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 3(x - 8) = 3x - 24

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 6(m + 3) = 2(m + 5)

Back

One Solution

Tags

CCSS.8.EE.C.7B

Front

What is an example of an equation with 'No Solution'?

Back

An example is 2x + 3 = 2x - 5, which simplifies to 3 = -5.

Tags

CCSS.8.EE.C.7A

Front

What is an example of an equation with 'One Solution'?

Back

An example is x + 4 = 10, which simplifies to x = 6.

Tags

CCSS.6.EE.B.7