Algebra

Question 1

What is the equation for profit?

Answer 1

Profit = Revenue – Cost

Question 2

What is a reciprocal?

Answer 2

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

Question 3

How does one get a reciprocal?

Answer 3

• To get the reciprocal of a fraction, just turn it upside down.
• In other words swap over the Numerator and Denominator.

Question 4

√3≈

Answer 4

≈1.7

Question 5

√2≈

Answer 5

≈1.4

Question 6

What is an integer?

Answer 6

For GMAT - an integer is simply a non-fraction or a non-decimal.

Question 7

Four special powers you want to remember:..

Answer 7

1) Anything raised to the power of “1” equals itself.
4231 = 423

2) 1 raised to any power equals 1.

1423 = 1

3) Any number (except zero) raised to the power of zero equals 1.

4230 = 1

4) Zero raised to any power (except zero) equals zero.

0423 = 0

Question 8

When Dividing powers of the same base

Answer 8

subtract the exponents.

a5 / a3 = a5-3 = a2

Question 9

When raising a power to another power

Answer 9

multiply the exponents.

For example:

(a2)3 = (a3)2 = a3·2 = a6

Question 10

A positive exponent

Answer 10

shows that the decimal point is shifted that number of places to the right.

Question 11

A negative

Answer 11

exponent shows that the decimal point is shifted that number of places to the left.

Question 12

a^n / a^m =

Answer 12

a^(n-m)

Question 13

For example, the power 3^(x-2)

Answer 13

could be transformed into the fraction (3^x) /( 3^2)

Question 14

Average is…

Answer 14

(The sum of terms) / (The Number of Terms)

Question 15

With direct formulas…

Answer 15

the value of each item in a sequence is defined in terms of its item number in the sequence.

Question 16

With recursive formulas…

Answer 16

each item of a sequence is defined in terms of the value of PREVIOUS ITEMS in the sequence.

Ex: A(n) = A(n-1) + A

Question 17

To solve for the values of a recursive sequence…

Answer 17

you need to be given the recursive rule and ALSO the value of one of the items in the sequence.

Question 18

In a geometric sequence one can find the common ratio by…

Answer 18

dividing a term by the term in front of it.

Question 19

Prime Numbers: 1 - 29

Answer 19

2 3 5 7 11 13 17 19 23 29

Question 20

Prime Numbers: 31 - 67

Answer 20

31 37 41 43 47 53 59 61 67

Question 21

Prime Numbers: 71 - 101

Answer 21

71 73 79 83 89 97 101

Question 22

What are the three most common binomials on the GRE?

Answer 22

(x-y)(x+y)

(x-y)^2

(x+y)^2

Question 23

What are the three most common binomial products on the GRE?

Answer 23

(x-y)(x+y) = x^2 + y^2

(x-y)^2 = x^2 - 2xy + y^2

(x+y)^2 = x^2 + 2xy + y^2

Question 24

Rules for squaring or taking the square root of a fraction that is between 0 and 1.

Answer 24

Squaring a fraction between 0 and 1 makes it smaller, and taking the square root of it makes it larger.

Question 25

Integer - Perfect Square [to 100]

Answer 25

1 - 1 , 2 - 4 , 3 - 9 , 4 - 16 , 5 - 25 , 6 - 36 , 7 - 49 , 8 - 64

9 - 81 , 10 - 100 , 11 - 121 , 12 - 144 , 13 - 169