SIGNAL & RESPONSE Flashcards
When I see a Problem Solving Question with answers that represent a single variable with real values I use….
A working backwards strategy
- Rephrase the Question / Simplify
- If the answers are sequential in value, start with B or D and use the answers to hone in on the answer.
When I see a Problem Solving Question where the variables are relative values to each other I use….
A smart numbers strategy
- Rephrase the Question / Simplify
- Use easy numbers / Avoid Using 0 or 1 if possible
- Don’t use numbers stated in the problem
- Use smart numbers to find the answer then plug SM into answer choices to see which one matches
When I see a Problem Solving Question with a must be or could be in the question stem, I use….
A testing cases strategy
- Rephrase the Question / Simplify
- Write out a table
- Test Cases with different properties
- Can you find any that contradict?
When I see a Question that asks for Multiplication and Division I think of using…
Fractions
When I see a Question that asks for subtraction and division I think of using…
Percentages
When I see a problem asking about proportions or ratios using fractions I will…
Find a common denominator if necessary and then turn all the fractions into a common ratio.
When I see a problem regarding overlapping sets I think about….
Setting up a matrix to break the sets down into components so I can easily isolate the variables I am looking for.
When I see a problem with Big Exponents being added / subtracted I think about…
Using the distributive property to simplify the exponents down!
And I keep in mind that negative exponents can be distributed out to positive ones!
When I see a problem that’s asking for the value of a combination of variables, for example X-Y=?, I keep in mind…
That I don’t need to know what X or Y is to get the answer or prove sufficiency. I only need to know what X-Y is.
The Steps for working backwards are?
- Draw out a table with the answer choices in the left most column.
- Fill out each column with a variable you need to know, go step by step.
- Default start with B, then go to D, then extrapolate next step based on their answers.
When I see an ugly number tied to a coefficient on a DS hidden constraint problem…
The answer that gives me the product is most likely sufficient.
When I see things being added in the Numerator I think about…
Splitting the fraction!
When I see a 3 way Inequality:
3 < x < y
I think about…
Splitting the inequality into too two:
3 < x
x < y
And Solving the problem with these.
If I see two inequalites in a Problem, especially if one is in the problem and one is in a statement or answer stem, I think about…
Combining the inequalities. DS inequality problems can often be solved this way.
On Text Eq or fill in sentence I…
Block out the answers, find my own words and then find what answers match
On two word questions answers must have equivalent meaning.