One, No, Infinite Solutions

Front

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

Back

It means that there are an infinite number of values for the variable that satisfy the equation, often because the equation simplifies to a true statement (e.g., 0 = 0).

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation, often because it simplifies to a false statement (e.g., 0 = 5).

Front

What does it mean if an equation has one solution?

Back

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

Front

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

Back

Infinitely Many Solutions

Front

Does the equation 2x + 4 = 2x + 4 have one solution, no solutions, or infinitely many solutions?

Back

Infinitely Many Solutions

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve: 5x + 4 = 2x + 4

Back

One Solution

Front

Solve: 2x - 3 + 4x = 27

Back

x = 5

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.