petergregory% up and downThe number of pears on my tree went up 5% in 2023, and went up another 25% in 2024. 1) If the number of pears at the end of 2022 was 80,...

petergregorySolving graphical inequalitiesWhen you solve simultaneous equations you are looking for an exact value of x and y that satisfies both of the equations. Inequalities...

petergregoryMultiple Choice?When you use math in the real world, you don't have multiple choice answers: usually you are solving a problem that nobody has done...

petergregoryDistance, Area, and VolumeWhen we measure distances we use measurements of length: cm, metres, yards, miles. Conceptually we use a measuring stick and step off how...

petergregoryRadians are easy!Radians are a measure of angle. If you measure the length of the radius (R) of a circle on its circumference, the angle that that arc...

petergregoryHow many solutions (2D)?Linear equations (straight lines) can do 3 things: intersect each other (one solution, which is where the x,y value of the intersection...

petergregoryPerpendicular linesTwo lines ax + by = 5 and 4x - 5y = 3 are peroendicular. What is the relationship between a and b? Lines y = mx + b is...

petergregory"150% more than".We are all used to seeing "y is 150% of x", which means y = 1.5x. We are less used to seeing "y is 150% more than x" and there is a...

petergregoryExponential functions - where to begin?Consider an exponential expression, like f(x) = A(1.5)^x. I read the question and then look at two values of x that usually shorten the...

petergregoryMultiple choice?Multiple choice questions look like an easier way to solve a problem, but beware of two disadvantages: you are learning math so that you...

petergregoryf(x) - Whats wrong with y?When you start learning about functions, the left hand side is usually y, and then on the right hand side we build up more complicated...