ATI TEAS conversions and formulas

perimeter of a square

P = 4s

perimeter of a rectangle

P=2l+2w

Perimeter of a parallelogram

P=2(a+b) or P=2a+2b

perimeter of a triangle

P=s1+s2+s3

circumference of a circle

C=2πr

Perimeter of a rhombus

P=2√(d₁)²+(d₂)²

area of a square

A=s²

area of a rectangle

A=lw

Area of a parallelogram

A=bh

area of a triangle

A=1/2bh

area of a trapezoid

A=h(b₁+b₂)/2

area of a circle

A=πr²

area of a rhombus

A=d₁d₂/2

volume of a cube

V=s³

Volume of a rectangular prism

V=lwh

volume of a right prism

V=Bh

volume of a cylinder

V=πr²h

volume of a pyramid

V=1/2Bh

volume of a cone

V=1/3πr²h

volume of a sphere

V=4/3πr³

volume of a rectangular prism

V=lwh

Pythagorean theorem (can be used to determine the length of the missing leg)

a²+b²=c²

Formula for speed

average speed = ∆d/∆t

∆d is the change in the distance traveled over

∆t the change in the time it takes to travel the distance

King Henry Drinks Ucky Dark Chocolate Milk

km, hm, dam, m, dm, cm, mm

1000 km (kilometers) =

1 meter

100 hm (hectometers) =

1 m

10 dam (dekameter) =

1 meter

1 dm (decimeter) =

0.1 meter

1 cm =

0.01 meter

1 mm =

0.001 meter

1 decimeter

10 cm

1000 m

1 kilometer (km)

1 pint

16 oz

2 pints

1 quart

1000 mg

1 g

1 inch

2.54 cm

3.28 feet

1 meter

1 mile

1.609 kilometers (km)

1 liter

1.06 quarts

1 gallon

3.79 liters

28.3 gallons

1 oz

1 kg

2.2 lbs

1000 mL

1 L

1 kL

1000 L

0.001 kiloliters

1 liter

16 oz

1 lb

2000 pounds

1 ton

1 cubic cm

1 mL

30 mL

1 oz

8 oz

1 cup

2 cups

1 pint

4 quarts

1 gallon

100 cg

1 g

1000 g

1 kg

1000 kg

1 ton

2.2 pounds

1 kg

10 mm

1 cm

12 in

1 ft

3 ft

1 yard

5280 ft

1 mile

1760 yd

1 mile

0.001 km

1 meter

1 oz

29.573 mL

Fahrenheit to Celsius

5/9(F-32)

Celsius to Fahrenheit

F=9/5(C)+32

for a percentage increase

new value - original value/original value x 100

for a percentage decrease

original value-new value/original value x 100

to find mean

Add up all the values and divide by the number of values

to find median (average)

Put the data in order and the median is the middle value. if the numbers are even add the 2 numbers in the middle and divide by 2 to get the average

to find mode

This is the most frequently occurring value.

to find range

subtract the lowest number from the highest

what is a directionally proportional relationship?

the relationship between two variables whose ratio is equal to a constant value. In other words, direct proportion is a situation where an increase in one quantity causes a corresponding increase in the other quantity, or a decrease in one quantity results in a decrease in the other quantity.

percentage of a sample

divide the particular number by the total

slope formula

m=rise/run, m= y₂-y₁/x²-x¹

to convert degrees to radians

multiply by π/180°

How do you calculate percentage off?

original price x rate of discount = discount

original price - discount = sale price

more

⁺

is

=

of

×

quotient of an "n"

n/2

at least ≥

line graph

how something changes over time

bar graph

organizing data into categories

pie chart/circle graph

compare percentages

scatter plot

compares 2 variables/trends

histogram

comparing ranges

left-skewed, negative

histogram

right-skewed, positive

histogram

symmetrical histogram

bimodal histogram

positive trend

negative trend

no correlation

16/47 to a mixed number

16 (bottom), 2 side, 15 top

You want to buy a shirt for $28, a pair of pants for $42, and a belt for $18 at a clothing store. You have a coupon for $12 to use on your purchase. Which of the following is the best estimate for how many dollars you actually need to spend?

Remember, when estimating it is important to round prior to performing the operations. So, before adding the three numbers, we can round each dollar amount to the nearest tens place to find our estimate. The value of the number in the ones place value for 28 is 8, so it rounds up to 30; for 42 it is 2, so it rounds down to 40; for 18 it is 8, so it rounds up to 20; and for 12 it is 2, so it rounds to 10.

Subtracting the value of the coupon from the sum total rounded purchase, we have:

(30 + 40 + 20) - 10 = 80

Therefore, your estimated total spent is $80.

Maria paid $28.00 for a jacket that was discounted by 30%. What was the original price of the jacket?

Elijah drove 45 miles to his job in an hour and ten minutes in the morning.

On the way home, however, traffic was much heavier, and the same trip took an hour and a half. What was his average speed in miles per hour for the round trip?

The area of a rectangular pen that is 135 f2 is to be fenced in with a wood fence. If the length of the pen is 15 ft, how much fencing will be needed to fence in the pen? (Round your answer to the nearest whole number)

What is the circumference of a circle? that has a diameter of 3 m?

You drive your car from your house to the beach for a summer vacation trip. After 2 hours of driving, you are 110 miles from home. You arrive at the beach after a total of 5 hours of driving and are now 299 miles from home. What was your average speed for the second portion of the trip in miles per hour?