Equations with one, many or infinite solutions

Front

What is an equation with infinitely many solutions?

Back

An equation that is always true, regardless of the value substituted for the variable.

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

What is the definition of no solution?

Back

An equation that has no values for the variable that make it true.

Front

How many solutions does the equation 3x - 20 = 3x + 2 have?

Back

No Solution

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

What does it mean if an equation has one solution?

Back

There is exactly one value for the variable that makes the equation true.

Front

How many solutions does the equation 5x + 4 = 3x + 8 have?

Back

One Solution

Front

Solve: x + 4 = x + 2

Back

No Solution

Front

What is the general form of a linear equation?

Back

Ax + B = C, where A, B, and C are constants.

Front

What is a variable in an equation?

Back

A symbol that represents an unknown value.