Types of Solutions

Front

What is a solution in algebra?

Back

A solution is a value or set of values that satisfy an equation.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can make the equation true.

Front

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

Back

It means that any value for the variable will satisfy the equation.

Front

Solve for r: 3r - 5 = 2r

Back

r = 5

Front

Solve for x: 5(2+x) = 45 + 5x

Back

No Solution

Front

Solve for x: 7x - 3 = 7x + 5

Back

No Solution

Front

What is the definition of infinite solutions?

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Front

What is the definition of no solution?

Back

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

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 slope of a line?

Back

The slope is the measure of the steepness of a line, calculated as the rise over run.