SIGNAL & RESPONSE Flashcards

1
Q

When I see a Problem Solving Question with answers that represent a single variable with real values I use….

A

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.

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2
Q

When I see a Problem Solving Question where the variables are relative values to each other I use….

A

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

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3
Q

When I see a Problem Solving Question with a must be or could be in the question stem, I use….

A

A testing cases strategy
- Rephrase the Question / Simplify
- Write out a table
- Test Cases with different properties
- Can you find any that contradict?

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4
Q

When I see a Question that asks for Multiplication and Division I think of using…

A

Fractions

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5
Q

When I see a Question that asks for subtraction and division I think of using…

A

Percentages

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6
Q

When I see a problem asking about proportions or ratios using fractions I will…

A

Find a common denominator if necessary and then turn all the fractions into a common ratio.

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7
Q

When I see a problem regarding overlapping sets I think about….

A

Setting up a matrix to break the sets down into components so I can easily isolate the variables I am looking for.

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8
Q

When I see a problem with Big Exponents being added / subtracted I think about…

A

Using the distributive property to simplify the exponents down!

And I keep in mind that negative exponents can be distributed out to positive ones!

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9
Q

When I see a problem that’s asking for the value of a combination of variables, for example X-Y=?, I keep in mind…

A

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.

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10
Q

The Steps for working backwards are?

A
  1. Draw out a table with the answer choices in the left most column.
  2. Fill out each column with a variable you need to know, go step by step.
  3. Default start with B, then go to D, then extrapolate next step based on their answers.
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11
Q

When I see an ugly number tied to a coefficient on a DS hidden constraint problem…

A

The answer that gives me the product is most likely sufficient.

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12
Q

When I see things being added in the Numerator I think about…

A

Splitting the fraction!

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13
Q

When I see a 3 way Inequality:

3 < x < y

I think about…

A

Splitting the inequality into too two:

3 < x

x < y

And Solving the problem with these.

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14
Q

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…

A

Combining the inequalities. DS inequality problems can often be solved this way.

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15
Q

On Text Eq or fill in sentence I…

A

Block out the answers, find my own words and then find what answers match

On two word questions answers must have equivalent meaning.

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16
Q

When I see a graph…

A

I read the question first and pull out the info I need from it. And I read the question, bit by bit, breaking the confusing question into manageable bits. I DON’T read the graph first.

17
Q

When I see a percent change question I figure out who is…

A

the OG and who is the new.

18
Q

When I see an RC question asking me to pick out a sentence based on a question in the passage I know that…

A

Support for the answer = the sentence after the answer.

the Answer = sentence after the question.

19
Q

When I read a question.

A

I read it twice, slowly.

20
Q

When I see a line in coordinate plan question.

A

I think about how a right triangle extrapolated could be used the answer the question.

21
Q

When a question is twisty turny confusing I think….

A

Positively, I can do this. I break it into smaller bits.

22
Q

When an inequality Question asks for the maximum of a variable I think…

A

about turning all the other variables into the minimum they could be and deriving the value of the variable I want from there.

23
Q

When an inequality Question asks for the minimum of a variable I think…

A

about turning all the other variables into the maximum they could be and deriving the value of the variable I want from there.

24
Q

When I read a math question I check…

A

The answer stem to see if its a good question for working backwards or smart numbers

25
Q

When I see a multiplication with an even coefficient and a multiple of 5 coefficient I think about…

A

Using a doubling and halving method to shift twos around in the expression to make it easier to solve.

26
Q

In QC questions I…

A

Rephrase / Simplify the Question as much as possible - use order of operations

Then I pick an picking numbers or algebra approach

Picking numbers - pick extremes to see if inequality or QC breaks to result in answer D

27
Q

In QC geometry questions I…

A

Keep in mind that give information can be a trap and I think deeply about what I need to know to answer the question.

28
Q

Zero Product Property = ?

A

A * B = 0

Then A or B = 0

29
Q

I always choose to (blank) before multiplying….

A

I always choose to cancel before multiplying as much as possible

30
Q

In rounding I shouldn’t….

A

Double round aka use back places to round up front places. EG:

7.5 = 8 but 7.49 DOESN’T = 8

31
Q

Mental Math Subtraction Trick:

83-17 = ?

A

I add three to both numbers to change the unit digits of the subtractor to an easier number. I can use this for any such scenario:

A. 83-17 = 66

B. + 3 to each
86-20 = 66

Option B is much easier to mentally calculate.

32
Q

Mental Math Addition Trick

47 + 36 = ?

A

I break the numbers apart into chunks that are easy:

47 + 36 = 40+30+6+7 = 83

33
Q

Think of PEMDAS as…

A

GEMDAS where P is turned into Grouping Symbols - anything that is a grouping symbol comes first. EG if you have addition under a radical sign.