NO solution, ONE 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 for the variable that can satisfy the equation. This often occurs when simplifying leads to a contradiction, such as 0 = 5.

Front

What does it mean if 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.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value for the variable satisfies the equation. This occurs when the equation simplifies to a true statement, such as 0 = 0.

Front

Solve for n: 6n + 5(2n - 6) = 6n - 30

Back

n = 0

Front

Is the solution positive, negative, zero, no solution or infinite solutions? 4 = 14x + 10

Back

negative

Front

Simplify and determine the solution type: 3x - 7 = 3(x - 3) + 2

Back

infinite solutions

Front

Simplify and determine the solution type: 2z - 6 = 2(z + 2) - 10

Back

infinite solutions

Front

Simplify and determine the solution type: 3x - 8 = 3(x - 4) + 1

Back

no solutions

Front

What is a contradiction in an equation?

Back

A contradiction occurs when the simplification of an equation leads to an impossible statement, indicating no solutions.

Front

What is the process of isolating a variable?

Back

Isolating a variable involves rearranging an equation to get the variable on one side and all other terms on the other side.