When we are solving equations in algebra, it is like a treasure hunt. You are looking for your x. You want to know where your x is, so you can go find your treasure. With most equations, you will get an answer letting you know where your treasure is located. For example, when solving the equation x + 5 = 4, by subtracting 5 from both sides we get x = -1 as our answer and location of our treasure.
But sometimes, an equation that you are trying to solve gives you an answer that just doesn't make sense.
It is these types of answers we’ll be looking at. It is important to understand these so you can spot them and identify the equations as unsolvable because they have an answer that doesn't make sense.
One solution is obtained when two straight lines in a Cartesian plane intersect once. No solution is obtained when the lines are parallel, i.e., they don’t intersect for a single time on the Cartesian plane. Infinite solution means that the lines are coinciding.
These math worksheets should be practiced regularly and are free to download in PDF formats.
One Solution No Solution Infinite Solutions Worksheet - 1
One Solution No Solution Infinite Solutions Worksheet - 2
One Solution No Solution Infinite Solutions Worksheet - 3
One Solution No Solution Infinite Solutions Worksheet - 4