Can You See the D?


The inequality throws a little bit of a twist into this problem, but just approach it like a normal two-variable equation and you’ll do just fine.

Question of the Day

If and , which one of the following inequalities represent all possible values for ?

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As long as you didn’t get mixed up with the inequality, you probably handled this no problem. Solving a two-variable equation for one of the variables is one of the essential skills you’ll need to master to be prepared for your test. Make sure that you’ve mastered it!

 Probably Not Too Tough


Do you remember basic probability rules? If you do, this one should be a breeze.

Question of the Day

When two standard dice (each having faces numbered 1 to 6) are rolled, what is the probability that both dice show even numbers?

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In probability, deal with two independent events separately. Since this is an “and” situation (we need an even on one die AND an even on the other die), simply multiply the two probabilities. Know the basic rules of probability and you’re well on your way to some easy points.


 The Truth and Nothing But The Truth


Here’s a question that mixes inequalities and equations. See if you can successfully combine the two to figure out what must be true.

Question of the Day

If and which of the following must be true?

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Remember, inequalities can be treated exactly like equations as long as you’re not multiplying or dividing by a negative. If you substitute in your inequality about y to your equation, you’re well on your way to a correct answer and test day success!

 Will It Fit?


This type of problem is extremely common on the standardized tests. Study it carefully because you’re likely to see it again on test day!

Question of the Day

Each side of a cubic box measures inches. What is the length (in inches) of the longest pencil that can fit entirely inside this cubic box without being broken?

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Thinking about all of the right triangles involved in this problem can be tough when you’re looking at a two-dimensional diagram. If you had problems understanding the explanation to this problem, pull out a box at home and figure out how you could measure the longest diagonal on it if you only had the measures of the sides.