Types of solutions

Front

What is a solution in algebra?

Back

A solution is a value or set of values that satisfy an equation.

Front

What does it mean if an equation has infinite solutions?

Back

It means that there are countless values that can satisfy the equation, often occurring when both sides of the equation are equivalent.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has no solution?

Back

It means that there are no values that can satisfy the equation, often occurring when the equation leads to a contradiction.

Tags

CCSS.8.EE.C.7A

Front

Back

infinite many solutions

Tags

CCSS.8.EE.C.7A

Front

Back

-1

Tags

CCSS.8.EE.C.7B

Front

Back

r = 5

Front

Back

no solution

Tags

CCSS.8.EE.C.7A

Front

What is a unique solution?

Back

A unique solution is a single value that satisfies an equation.

Tags

CCSS.8.EE.C.8B

Front

How can you determine if an equation has no solution?

Back

If simplifying the equation leads to a false statement, such as 0 = 5, it has no solution.

Tags

CCSS.8.EE.C.7A

Front

What is the significance of the coefficient in an equation?

Back

The coefficient indicates how many times a variable is multiplied and affects the solution of the equation.

Tags

CCSS.HSA.REI.A.1