One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value that satisfies the equation.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value satisfies the equation, often resulting in equivalent expressions.

Tags

CCSS.8.EE.C.7A

Front

Simplify: 3x - 8 = 3(x - 4) + 1. What is the solution?

Back

No solutions.

Tags

CCSS.8.EE.C.7A

Front

Simplify: 3(x-2) + 1 = 3x - 5. What is the solution?

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the equation 6m + 18 = 2m + 18 have?

Back

One solution.

Tags

CCSS.8.EE.C.7A

Front

What is the missing information that would make the statement true for infinite solutions: _ + 10 = 5x + 10?

Back

5x.

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equation 2x + 3 = 2x + 5?

Back

No solution.

Tags

CCSS.8.EE.C.7A

Front

What is a contradiction in an equation?

Back

A contradiction occurs when simplifying an equation leads to a false statement, indicating no solutions.

Tags

CCSS.8.EE.C.7A

Front

What is a dependent system of equations?

Back

A dependent system has infinite solutions because the equations represent the same line.

Tags

CCSS.8.EE.C.8B