How many solutions??

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value of the variable that satisfies the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value of the variable satisfies the equation, often resulting from an identity.

Front

What does it mean if an equation has no solution?

Back

It means there is no value of the variable that can satisfy the equation, often resulting from a contradiction.

Front

Example of an equation with one solution: 2 = X. What is the solution?

Back

X = 2.

Front

Example of an equation with infinitely many solutions: -5 = -5. What does this indicate?

Back

This indicates that any value for the variable is a solution.

Front

Example of an equation with no solution: 4 = 8. What does this indicate?

Back

This indicates that there is no value for the variable that can make this true.

Front

What is the general form of a linear equation?

Back

The general form is Ax + B = C, where A, B, and C are constants.

Front

What is a variable in an equation?

Back

A variable is a symbol used to represent an unknown value.

Front

What is an identity in mathematics?

Back

An identity is an equation that is true for all values of the variable.

Front

What is a contradiction in mathematics?

Back

A contradiction is an equation that is never true for any value of the variable.