r MATH FORMULAS & SYMBOLS - GED Testing Service

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G E D

®

parallelogram

A = bh

triangle trapezoid

A =  bh

circle

A = πr

P R O G R A M

M AT H

! ! !

A = h(b1 + b2) !

2

Perimeter of a:

FORMULAS & SYMBOLS square

P = 4s

rectangle

P = 2l + 2w

triangle Circumference of a circle

P = s1 + s2 + s3

C = 2πr OR C = πd; π ≈ 3.14

Surface area and volume of a: rectangular prism

SA = 2lw + 2lh + 2wh

V = lwh

V = Bh Use this guide to focus on applying, rather than memorizing, formulas and symbols for cylinder SA = 2πrh + 2πr V = πr h test questions. right prism

SA = ph + 2B

2

!

pyramid

Mathematics Formula Explanations

2

!

SA = ps + B !

cone

SA = πrs + πr

V = Bh !

2

!

2

V = πr h !

2 ! 2014 3 This displays formulas relating to geometric measurement and certain GED® sphere algebra concepts SA = 4πr and is available onVthe = πr ! test — Mathematical Reasoning.

Mathematics Formula Sheet

(p = perimeter of base with area B; π ≈ 3.14)

Data

Area of a: 2

square

A=s

rectangle

A = lw

parallelogram

A = bh

mean

mean is equal to the total of the values of a data set, divided by the number of elements in the data set

median

median is the middle value in an odd number of ordered values of a data set, or the mean of the two middle values in an even number of ordered values in a data set

!

triangle trapezoid

A =  bh

circle

A = πr

! !

A = h(b1 + b2) !

2

Algebra slope of a line

Perimeter of a: square

P = 4s

rectangle

P = 2l + 2w

triangle Circumference of a circle

P = s1 + s2 + s3

slope-intercept form of the equation of a line

C = 2πr OR C = πd; π ≈ 3.14

Surface area and volume of a: rectangular prism

SA = 2lw + 2lh + 2wh

V = lwh

right prism

SA = ph + 2B

V = Bh

cylinder

SA = 2πrh + 2πr !

pyramid

2

2

!

SA = ps + B !

cone

SA = πrs + πr

sphere

SA = 4πr

! !

standard form of a quadratic equation

y = ax + bx + c

Pythagorean theorem

2

V = πr h !

2

!

V = πr

3

!

simple interest

(p = perimeter of base with area B; π ≈ 3.14)

y = mx + b

y – y1 = m(x – x1)

V = Bh 2

!! − !! !! − !!

point-slope form of the equation of a line

quadratic formula

V = πr h

!=

2

!= 2

−! ± ! ! − 4!" 2! 2

a +b =c

2

I = Prt (I = interest, P = principal, r = rate, t = time)

Data mean

mean is equal to the total of the values of a data set, divided by the number of elements in the data set

median

median is the middle value in an odd number of ordered values of a data set, or the mean of the two middle values in an even number of ordered values in a data set

distance formula

d = rt

total cost

total cost = (number of units) × (price per unit)

Æ Symbol Tool Explanation

The 2014 GED® test on computer contains a tool known as the “Æ Symbol Tool.” Use this guide to learn about entering Algebra special mathematical symbols into fill-in-the-blank item types. ! −! slope of a line

Symbol

∏ ⨍ ≥ ≤ ≠ ² ³

!=

!

!

!! − !!

Explanation

slope-intercept form pi of the equation of a line

y = mx + b

function

point-slope form of the equation of a line

y – y1 = m(x – x1)

standard form of a quadratic equation less than

y = ax + bx + c

greater than or equal to 2

or equal to

quadratic formula

not equal to

!= 2

−! ± ! ! − 4!" 2! 2

2

Pythagorean 2 exponent theorem

a +b =c (“squared”)

exponent simple 3 interest

(“cubed”) I = Prt

Symbol

| × ÷ ± ∞ √ +

Explanation

absolute value multiplication division positive or negative infinity square root

Symbol

( ) > < =

Explanation

minus or negative open or left parenthesis close or right parenthesis greater than less than equals

plus or positive

(I = interest, P = principal, r = rate, t = time) distance formula

d = rt

total cost

total cost = (number of units) × (price per unit)

T TES

WI

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IDE CONF

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