GRE Math

Question 1

(x^a)^b

Answer 1

x^ab

Question 2

X x X

Answer 2

x^2

Question 3

x^-a

Answer 3

1//x^a

Question 4

x^a/x^b

Answer 4

x^a-b

Question 5

x^ax^b

Answer 5

x^a+b

Question 6

x^0

Answer 6

1

Question 7

(negative)^odd

Answer 7

negative

Question 8

(negative)^even

Answer 8

positive

Question 9

Speed

Answer 9

distance/time

Question 10

Average Speed

Answer 10

Total Distance/Total Time

Question 11

Rate

Answer 11

Quantity of A/ Quantity of B

Question 12

Percent Increase

Answer 12

{(New amount- original amount)/original amount} x 100%

Question 13

Percent Decrease

Answer 13

{(Original Amount- New Amount)/ original amount} x 100%

Question 14

Interior Angles of Triangle

Answer 14

180

Question 15

Exterior Angles of Triangle

Answer 15

360

Question 16

Area of Triangle

Answer 16

1/2base x height

Question 17

Hypotenuse of a 45-45-90 Triangle

Answer 17

2 sides are equal (x). Hypotenuse is x√2

Question 18

Hypotenuse of a 30-60-90 Triangle

Answer 18

Sides are x, x√3, hypotenuse is 2x

Question 19

Diameter

Answer 19

2r

Question 20

Circumfrence

Answer 20

2πr or πd

Question 21

Area of Circle

Answer 21

πr^2

Question 22

Area of square

Answer 22

s^2

Question 23

Area of rectangle

Answer 23

length x width

Question 24

Area of Parallelogram

Answer 24

base x height

Question 25

Area of Trapezoid

Answer 25

1/2(base1 +base2)height

Question 26

Volume of cylinder

Answer 26

πr^2height

Question 27

Surface area of cylinder

Answer 27

2πr^2 + 2πrh

Question 28

Volume of Cube

Answer 28

lengh x width x height

Question 29

Surface Area of Cube

Answer 29

2(lw + lh +wh)

Question 30

√a√b

Answer 30

√ab

Question 31

√a/√b

Answer 31

√a/b

Question 32

a√c +b√c

Answer 32

(a +b)√c

Question 33

√a +√b

Answer 33

√a+b

Question 34

ab +ac

Answer 34

a(b+c)

Question 35

x% of y

Answer 35

y% of x

Question 36

Slope

Answer 36

(y2-y1)/(x2-x1)

Question 37

Common Prime Numbers

Answer 37

2,3,5,7,11,13,17,19

Question 38

Prime Factorization

Answer 38

Factor tree

Question 39

Distance on a Number Line

Answer 39

Ticks are values and intervals are distance (upper -lower)/number of intervals

Question 40

Distance of 2 Coordinates

Answer 40

√([x2-x1]^2 + [y2-y1]^2)

Question 41

Midpoint of 2 Coordinates

Answer 41

(x1 + x2)/2, (y1 +y2)/2

Question 42

Multiplying or Dividing in Inequalities

Answer 42

By negative number switch the sign, positives stay same

Question 43

Compound Inequalities

Answer 43

Must add/subtract/multiply and divide all terms

Question 44

Adding and Subtracting Fractions

Answer 44

Common denominator stays the same, different denominator changes

Question 45

Multiplying Fractions

Answer 45

Multiply Across

Question 46

Dividing Fractions

Answer 46

Reciprocal

Question 47

Probability

Answer 47

When independent events, multiply probability of each