Planet 1 Flashcards

1
Q

Word problems are a good opportunity to…

A

Backsolve

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2
Q

When a word problem includes variables in the answer choices…

A

Pick Numbers

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3
Q

Mistakes tend to happen on word problems when…

A

You solve for the wrong thing (Liters of petrol in the tank vs liters of petrol used)

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4
Q

In word problems, how to assign and treat variables…

A

Assign for boy as B, not X. Underline what you’re solving for.

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5
Q

Work =

A

Rate x Time

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6
Q

Distance =

A

Rate x Time

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7
Q

Rate =

A

Work / Time

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8
Q

Rate =

A

Distance / Time

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9
Q

Rates are…

A

Additive. If two working together, you can combine them for a combined rate.

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10
Q

Multiple rates and changing conditions?

A

Reset when conditions change

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11
Q

Convert time to?

A

Rates. Machine 1 can complete the job in 5 hours — 1/5. Remember, a rate is always the inverse of the time for one unit of work.

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12
Q

Collision problems (two people/cars/etc meeting)

A

Combine their rates

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13
Q

Catching up problems

A

Subtract their rates

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14
Q

Rate and time are…

A

Inversely proportional

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15
Q

When given a formula as an answer…

A

Try number picking

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16
Q

When to use venn diagram?

A

When you see “both” or “neither” in a word problem, suggesting you are working with overlapping sets

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17
Q

Write out a venn diagram and both equations

A

A + B - Both + Neither = Total; A only + B only + Both + Neither = Total

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18
Q

When to use matrix boxes?

A

When you have sets of complimentary information - red vs not red, sold vs not sold

19
Q

Matrix beware…

A

When entering percent or fraction information that you are taking it of the right item

20
Q

Triple venn formula

A

A + B + C - AB Only - BC Only - AC Only - 2xall 3 + Neither = Total

21
Q

When matrix boxes provide percent or fraction data, its a good idea to…

A

Pick your own numbers

22
Q

Two equations, two variables?

A

Enough to solve in DS

23
Q

Remember, if a statement does not say “ONLY” in an overlapping problem…

A

It does not mean only

24
Q

Min/Max problems…3 questions…

A

1) Numbers have to be positive? 2) Numbers repeat? 3) Numbers have to be integers?

25
Q

To maximize one value…

A

Minimize the others

26
Q

To minimize one value…

A

Maximize the others

27
Q

Distributing values as close to the average as possible…

A

Good way to maximize the lower value or minimize the higher value.

28
Q

Min/max techniques…

A

Trial and error is important. Generally tough to solve thru algebra

29
Q

Key words to know you’re dealing with min/max

A

Greatest # received, least # received, etc.

30
Q

Don’t assume…

A

Any rules that aren’t explicitly given

31
Q

Integers…

A

Can be negative

32
Q

Sum of evenly spaced sets principle…

A

Sum = # of values x med/mean value

33
Q

Mean in any evenly spaced set is…

A

(1st term + last term / 2)

34
Q

You cannot average…

A

An average. If combining two averages that have been taken from two number sets, you can’t simply average them

35
Q

Setting up Weight Avg. Equations…

A

2 setups…Tracking the Mixture equation (0.2X + 0.4Y = .25(12) and tracking the total equation (X + Y = 12)

36
Q

How to spot when to set up 2 equations on weighted averages?

A

Asked to average avg’s or percents. Set up as a system of equations algebraically.

37
Q

Weighted averages lend themselves well to…

A

Finding ratios and percents

38
Q

Mapping Strategy…

A

Can be used for WA problems, specifically for finding ratios

39
Q

Mixture problems are…

A

Weighted average problems

40
Q

When asked about solutions…

A

Treat as weighted average

41
Q

Mapping Strategy…

A

Can flip around and use in different orders

42
Q

DS in WA problems

A

Mapping strategy often will give you a ratio, which is all you often need, don’t think you need to solve for every value and variable in the problem for a solution.

43
Q

Mapping Strategy flaws…

A

Sometimes it just may not work. Sometimes you will just have to do the algebra

44
Q

On the GMAT, you are often…

A

Given easy outs. Think like the test maker. They are not going to make insane questions with insane labor - time is factored into their creation