How Many Solutions

Front

What is the solution to the equation 5a + 3 - a = 4a?

Back

none

Front

Solve the equation: 2x + 1 = 2x - 1.

Back

none

Front

What type of solution does the equation 4 = 8 have?

Back

no solution

Front

What does it mean if an equation has one solution?

Back

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

Front

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

Back

It means there are countless values that satisfy the equation.

Front

What does it mean if an equation has no solution?

Back

It means there is no value that can satisfy the equation.

Front

Example of an equation with one solution: x + 2 = 5. What is x?

Back

x = 3

Front

Example of an equation with infinitely many solutions: 2(x + 1) = 2x + 2. What is the solution?

Back

Infinitely many solutions.

Front

Example of an equation with no solution: 3x + 1 = 3x + 2. What is the solution?

Back

no solution.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.