Gmat Assignment 4

Front 1

RC - Noteboard

Back 1

Use noteboard to keep track of passage key ideas and structure.

Front 2

RC- Working the Passage

Back 2

Don't spend too much time reading thoroughly, but rather spend time working the questions.

Front 3

RC - Big Idea

Back 3

Think of RC as long arguments. Look for conclusions and premises. Then ask, "What's the big idea?"

Front 4

RC - Trigger Words - COD

Back 4

Change of direction

On the other hand; but; nonetheless; although; notwithstanding; however; except; yet; while; despite; unless; nevertheless

Front 5

RC - Trigger Words - Same as it ever was

Back 5

No change:

First of all; in addition; by the same token; likewise; similarly; for example; thus

Front 6

RC - Key Ideas Sentences

Back 6

Pay close attention to:

1st & Last sent. of 1st paragraph

1st sent of each body paragraph

Last sent of passage

Front 7

RC - What to look for

Back 7

Main Point/Thesis

Author's Tone or Attitude

Main Idea/Function of Each Paragraph

Change of Direction or Conflicting Opinions/Theories

More of the same

Front 8

RC - Translate the Question

Back 8

Translate wordy, confusing questions into everyday language.

Read slowly

Don't get bogged down by difficult language.

Turn it into a simple, straightforward question.

Front 9

RC - Paraphrasing the Answer

Back 9

Do your best to answer the question in your own words before you go to the answer choices.

Front 10

Exponents - Multiplying

Back 10

Add the exponents

x^4*x^3 = x^7

Front 11

Exponents - Dividing

Back 11

Subtract the exponents

x^8/x^5 = x^3

Front 12

Exponents - Raised to another exponent

Back 12

Multiply the exponents

(x^3)^2 = x^6

Front 13

Exponents - Negative

Back 13

x^6/x^8 = x^6-8 = x^-2 = 1/x^2

Front 14

Reciprocal

Back 14

Product of the reciprocal's of a number equal 1.

Front 15

5^0 =

Back 15

Any nonzero number to the zero power equals 1

Front 16

5^1 =

Back 16

Any number to the first power equals itself. (5)

Front 17

1^37 =

Back 17

One to any power equals 1.

Front 18

0^37 =

Back 18

Zero to any power equals 0

Front 19

0^0

Back 19

Undefined

Front 20

Raising a number between 0 and 1 to a positive power = ?

Back 20

The numbers get smaller

(1/2)^2 = 1/4

Front 21

Exponents - Rules to remember

Back 21

A negative number raised to an odd power is negative.

A negative number raised to an even power is positive.

Front 22

Scientific Notation - Positive Exponent

Back 22

Move the decimal to the right of the number

7.8 * 10^5 = 780,000

Front 23

Scientific Notation - Negative Exponent

Back 23

Move the decimal to the left of the number

2.3 * 10^-4 = .00023

Front 24

Square Root

Back 24

Defined as the positive root only.

Front 25

Square Root - Addition

Back 25

You can add expressions with roots if they have the same number under the radical sign:

2√7 + 4√7 = 6√7

Front 26

Square Roots - Multiplication

Back 26

1st multiply numbers outside the radical sign, and then the numbers under radical.

3√6 * 2√3 = (3 * 2)√(6 * 3) = 6√18

Finally, simplify is possible:

6√18 = 6√(9*2) = 6*√9*√2 = 6*3*√2 = 18√2

Front 27

Square Roots - Division

Back 27

Combine expressions and then divide:

√60/√3 = √(60/3) = √20 = √4*√5 = 2√5

Also:

√(4/25)= √4/√25 = 2/5

Front 28

Square Roots - GMAT Convention

Back 28

1/√3 = √3/3

Front 29

Square Root - Fraction

Back 29

When you take the square root of a number between 0 and 1, you get a bigger number.

√1/4 = √1/√4 = 1/2

Front 30

x^1/2 =

x^1/3 =

Back 30

√x ---> 9^1/2 = √9 = 3

∛x ---> 27^1/3 = ∛27 = 3

Front 31

Finding Factors

Back 31

Find the first parts: F

Find the last parts: Two numbers that its product is last term and sum is middle term.

Finally determine signs. Middle term determines this.

Front 32

Finding Roots

Back 32

Set quadratics equal to zero

Factor the quadratic

Then solve for x

Front 33

Factorials

Back 33

!

5! = 5*4*3*2*1

n! = (n)*(n-1)*(n-2)*...*1

Front 34

0! =?

Back 34

0! = 1! = 1

Front 35

9^4 * 9^3 / 9^5 =

Back 35

9^2

Front 36

(2x^2)^3 =

Back 36

8x^6

Front 37

3x^4 * 5x^7 =

Back 37

15x^11

Front 38

2x^3 * x^4 + x^7 =

Back 38

3x^7

Front 39

(y^3 + y^3)^3=

Back 39

8y^9

Front 40

7^4 / 7^2 / x^0 =

Back 40

7^2 = 49

Front 41

7^3 * 7 / 7^5

Back 41

7^-1 = 1/7

Front 42

Successive powers of 2 (or-2) =

Back 42

Find by doubling:

2, 4, 8, 16,32, 64, ...

Front 43

√12/√3 =

Back 43

2

Front 44

√3 * √27

Back 44

√81 = 9

Front 45

√(25/49)

Back 45

5/7

Front 46

2√x* 3√x^3 =

Back 46

6x^2

Front 47

√2 * √3 * √12 * √50 =

Back 47

60

Front 48

∛(6^3 * 6^3) =

Back 48

36

Front 49

√288/√108 =

Back 49

(2√6)/3

Front 50

Root shortcuts

Back 50

√25 = 5 and √36 = 6, √30 is between 5 & 6

√144 = 12 and √169 = 13, √150 is between 12 & 13

√48 + √35 ≅ 7 + 6 ≅ 13

Front 51

Permutations

Back 51

Order matters = No divide

Key words: Arrangements, Order/orderings

Front 52

Combinations

Back 52

Order does not matter = Divide

Key words: Groups/groupings, combination