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# teas math

### teas ATI 6th edition study guide

Question | Answer |
---|---|

1 inch= cm | 2.54 cm |

2.54 cm =in | 1 inch |

1 foot=in | 12 inches |

1lb= oz | 16oz |

1miles=km | 1.609km |

1.609km = miles? | 1 miles |

1 miles= ft | 5280 ft |

1 yard=ft | 3 feet |

1 meter= feet | 3.280 |

3.280839895 feet=m | 1 meter |

1 gallon= pt | 8 pints |

8 pints = gallon | 1 gallon |

1 gallon= quart | 4 quarts |

1 quart= pints | 2 pints |

1 pint= ounces | 16 ounces |

1 pint=cup | 2 cups |

1 liter= ounce | 33.814 ounces |

1 liter=quart | 1 quart |

1 kg= lb | 2.2 lb |

1 ounce= gram | 28 grams |

1 meter= yrd | 1 yard |

Fahrenheit to Celsius | 5/9 (F-32) |

Celsius to Fahrenheit | 9/5(c+32) |

area of a circle | pi r^2 |

circumference of a circle | 2 pi r |

perimeter of a rectangle | 2l+2w |

area of a rectangle | LW |

area of a triangle | 1/2b(h) |

perimeter of a triangle | a+b+c |

perimeter of a square | 4s |

circular cylinder | pi r^2 h |

the average adult is __ to __ (m) meters tall | 1.5-2 |

symmetry graph is | divided at the center and is like a mirror. |

single peak is called a | unimodal |

two peaks is called a | biomodal |

graph with single peak in center is called a | bell-shaped, unimodal (normal) |

when data is spread equally across the range of the distribution this is called a | uniform distribution |

to calculate mean | add all numbers together and divide by how many numbers there are |

the median is the most | middle number |

the number that occurs the most is called | mode |

you calculate the range by | the highest-lowest number. |

lines can be formed by | y=mx+b |

y=mx+b is | m= slope intercept b=0 |

for y=mx+b when b=0 | y-intercept=0 |

dependent variable is | depends on at least one other variable |

independent variable | determines another variable. |

circumference is | length around a circle |

circumference of a circle= | 2(Pie)r |

length of a particular part of a circle (arc) is L= | n/360 x 2(pie)r |

for a circle n is the | degree of the angle |

perimeter is all of the outer | lengths added together |

area units always has a | squared at the end |

area of a square is A= | L x L |

area of a rectangle is A= | L x W |

area of a triangle is A= | 1/2 x B x H |

parallelogram A= | H X B |

Trapezoid A= | 1/2 X H X (b1 + b2) |

Area of a circle is A= | (pie) X r^2 |

Rhombus Area is A= | 1/2 X d1 X d2 |

kg is | 1000 grams |

km is | 1000 meters |

kl is | 1000 liters |

to find the missing length of a triange is | a^2+b^2=C^2 |

10^0= | 1 |

10^-1= | 1/10 |

10^-2= | 1/100 |

27 and 25 hundredths is | 27.25 |

9 and twenty seven hundredths is | 9.27 |

M in roman letters = | 1000 |

C in roman letters is | 100 |

placing the roman letters C before M indicates that | 100 -1000 |

MCM is | 1900 |

MM = | 2000 |

L in roman letters = | 50 |

X in roman letters = | 10 |

V is roman letters = | 5 |

II in roman letters = | 2 |

10^1= | 10 |

10^2= | 10x10=100 |

10^-3= | 1/1000 |

10^3= | 1000 |

prime factorization is the act of ___ a number into a product of prime numbers. | factoring |

To find a ____ of a number, write a series of divisions with the lowest primes with the number under the consideration is ____ | prime factorization, divisible |

when multiplying fractions you multiply | straight across |

when dividing fractions you | flip the second number and x ex. 12/3= 12/1 / 3/1= 12/1 x 1/3= 12/3= 4 |

when adding or subtracting fractions you must have a | common denominator |

when dividing decimals there can not be a decimal in the numerator so you must | move it ex. .043/.15652 = 43/156.52 |

to find the absolute value of a number you count the | distance from 0. |

rational numbers when converted to a decimal form | terminates or repeats |

irrational numbers form neither ___ or ___ and cannot be written as a ____ (fraction) | terminates or repeats, rational |

absolute values mean that the answer could be | positive or negative |

the absolute value for the equation lxl=3 is | x=3 or -3 |

IV is | 4 |

IX is | 9 |

XL is | 40 |

XC is | 90 |

CD is | 400 |

CM is | 900 |

for roman numbers if the smaller value is written to before the large value that u | minus the smaller number from the larger number |

MMM= | 3000 |

D= | 500 |

LXXII = | 72 |

MMMDLXXII= | 3572 |

LX is | 60 |

C= | 100 |

of means | times or x |

what translates to a | variavle |

is means | equals or = |

% means | x 0.01 |

the average adult in meters is | 1.5-2m |

in celius 0= 10= 20= 30= | 0= freezing 10= not freezing 20= warm 30= hot |

1cc is the same as | 1 ml |

constant of proportionality is also known as | rate of change (m) |

if a number is three times as large as another number in a ratio and fraction | 3:1 or 3/1 |

if 4lb sugar costs $2.59, how much should 5lb sugar cost? set the equation. then you do? | 4/$2.59 = 5/x then cross multiple and solve for x |

a 10ml vial of aminophylline is labeled "50 mg per ml" what is the amount of aminophylline in this vial? | x/10 = 50/1 x= 500mg |

direct variation or direct proportion is when something | increases or decreases respectively |

1 mile= ft? | 5280 ft |

a unit rate means that | the denominator is 1 EX: 25 miles/ hr |

4 times the price of one hotdog = $26. we want to know the price of 1 hotdog so we solve the equation for ___ and divide both sides by ____ (equation 4H= $26) | 1 hotdog, 4 |

Pie charts are mainly used to present | portions/ percentages of a whole |

measures of central tendency includes | mean, median, and mode |

to get the mean | add all numbers and divide by how many numbers there are |

median is the | midpoint of the list from least to greatest |

if there are 2 numbers in the median than you? | add both together and divide by 2 |

numbers in a list that are extremely larger or smaller than the other numbers are called an | outlier |

the mode is | the number that occurs the most |

the range is found by | max-min |

for a graph symmetry is when | you can split in half and its a mirror |

in a graph if distributions with fewer observations on the right it is | skewed right |

in a graph if distributions with fewer observations on the left it is | skewed left |

___ occurs when 2 or more variables are related to each other. | covariance |

when an increase in a variable produces the decrease in another it is called an | inverse variation |

in the equation y=kx and y=k/x the variable x is called the ____ and the variable y is the ____ | independent, dependent |

the independent variable is normally ___ on a graph and the dependent variable is normally ___ on a graph | x (horizontal), y (vertical) |

there are __ mm per cm | 10 |

1 inch is ___ cm | 2.54 |

surface area is the is figured out by multiplying | top and bottom, left and right, front and back and then add them all together |

surface area of a sphere/ ball is | 4(pie)r^2 |

surface area of a cyclinder is the area of the rectangle: | 2(pie)rh |

if the cylinder has closed ends the surface area will be with the 2 circle ends | 2(pie)rh+2(pie)r^2 |

to find the area of a semi circle triangle you need to | find the area of triangle and semicircle |

to find the height of a semicircle triangle (triangle) use the radius ex. side 9.2 radius 3 | 9.2^2=3^2xh^2 = 75.64^2 |

for the semicircle triangle (triangle) the base is 6 and the height is 75.64^2 the area will be A= | 1/2 (6) 75.64^2 A= 3 (75.64^2) |

the area of the semi circle triangle (semi circle) is A= | (pie r^2) /2 |

Once you have the area of the semi circle triange (triangle =3 (75.64^2) (semi circle (9/2)pie) you will | add them = about 40.229 square unites |

a/b is a | fraction |

order of operations PEMDAS | (), exponent, multiple, division, addition, subtraction |

> | greater than |

< | less than |

_> | greater that or equal to |

<_ | less than or equal to |

___ usually letters that represent an unknown quantity | variables |

___ are numbers | constants |

4x-7=2x+11 What is the variable terms | 4x, 2x |

4x-7=2x+11 what is the constants | -7,11 |

4x-7=2x+11 what is the coeffect | 4,2 |

___ math operations are just the opposite of the other or undue each other ex, division and multiplication or addition and subtracition | inverse |

___ can be represented by fractions, this includes whole numbers, positives and negatives, zero, and decimals that either terminate or repeat. | rational |

an ___ is an unexpected value that does not fit any trend or pattern in the data. | outlier |

pie is aprox | 3.14 |