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The mathdoeswork blog provides solution ideas to a few random SAT math problems that have given students difficulty.
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The 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,...

Solving graphical inequalities

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

Multiple 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...

Distance, Area, and Volume

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

Radians 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...

How 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...

Perpendicular lines

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

"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...

Exponential 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...

Multiple 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...

f(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...

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