One solution, no solution, infinitely many solutions

Front

What are the three types of solutions for equations?

Back

One solution, no solution, infinitely many solutions.

Front

What does it mean if an equation has no solution?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

How can you determine if an equation has one solution?

Back

If you can isolate the variable and find a specific value that satisfies the equation.

Front

What is an example of an equation with infinitely many solutions?

Back

An equation like 12(x + 3) = 4(2x + 9) + 4x, where both sides simplify to the same expression.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

Front

What does it mean for an equation to have infinitely many solutions?

Back

There are an infinite number of values for the variable that satisfy the equation.

Front

What is the solution to the equation 3r - 5 = 2r?

Back

r = 5.

Front

How do you simplify the equation 5x + 6 = 2 + 3x?

Back

Subtract 3x from both sides to get 2x + 6 = 2, then isolate x.

Front

What is a contradiction in the context of equations?

Back

A situation where the equation simplifies to a false statement, indicating no solution.

Front

What is the significance of the coefficients in a linear equation?

Back

They determine the slope and position of the line represented by the equation.