TEAS V Math from ATI Study Guide – Flashcards

"PEMDAS" Parentheses, Exponents, Multiplication and Division (Left to Right) and Addition and Subtraction (Left to Right)

Add up all four sides to find total square feet A fence that is 25 feet by 30 feet means Total SqFt = 25+25+30+30 = 110 square feet

1. Convert mixed numbers to improper fractions 2. Simplify if possible 3. Find Least Common Denominator (LCD) - will be new denominator for both fractions 4. Make fractions equivalent - multiply numerator and denominator by same number to get LCD 5. Add or subtract numerators, leave Den. unchanged 6. Always Simplify! Never leave improper fractions

Multiplication: 1. Convert Mixed Number to Improper Fraction 2. Simplify 3.Multiple numerators and denominators together 4. Simplify and convert any improper fractions Division: Simplify, flip second fraction and multiply as above

You can Cross Simplify fractions by dividing opposite numerators and denominators with a common factor before multiplying.

1. Multiple numbers as if whole numbers. 2. Then count total number of decimal places in the factors and add them (Ex: 2.2 and 2.33 has three total decimal places) 3. Add the total number of Decimal places to product, counting left to right (Ex: 22*233 = 5126 --> 5.126 final answer)

either rational or irrational

Cannot be written as fractions. Common ones are some square roots, cube roots, and pie

Real number that can be a fraction, terminating decimal or repeating decimal

You know cube root of 8 and the cube root of 27 is 3 so it must be between 2 and 3 and closer to 2 - estimation: 2.15

If the square root of 9 is 3 and the square root of 16 is 4 then it must be between those two square roots. Square Root of 11 is a good estimate be 3.3166 is closer to 3 than 16

The word "of" = multiply. 15 of 500 = % --- > 15*500 =25% What percent of 250 is 10? ---> set up equation and solve 250X = 10 -->X = 4%

(Original Value - New Value) / Original Value * 100

(New Value - Original Value) / Original Value * 100

Numerator = Dividend Denominator = Divisor (divisor goes on outside of fraction bar)

1. Write the digits of the decimal in numerator 2. Denominator should be the power of ten equal to number of decimal places right of decimal (.025 = 25/1000) 3. Simplify fraction

1. 35 2. 35/100 3. simplify - > 7/20

Find least common denominator and compare numerators

...pg 71

1. Write from left to right as a sum 2. Start with largest, M = 1000, D = 500, C = 100, L = 50, X = 10, I = 1 3. When I, X, or C is used to left of larger, it is subtracted MCCXXXIV = 1234

1. Write left to write 2. Convert each place value 3. I, X, C may be written two or three times in a row as long as they NOT followed by a larger value 4. Use I, X, C to left of larger values to indicate subtraction from larger values 5. V, L, D never used to left of larger values 6. V, L, and D never used more than on time

800= 500 +100+100+100 DCCC 20 = 10 + 10 = XX 5 = 5 = V DCCXXV

Meter

Liter

Gram

Kilo (k) = 1,000

Hcto (h) = 100

deka (da) = 10

1 no prefix

deci (d) = 1/10

centi (c) = 1/100

milli (m) = 1/1000

1 inch = 2.54 cm

1 km = .62 miles

1 m = 39.37 inches

1 cm = .394 inches

1 miles = 1.6 km

1 yard = .914 m

1 kg = 2.2 lb

1 ounce = 28 grams

1 pound = .45 kg

1 L = 1.06 quart

1 ounce = 30 mL

1 teaspoon = 5 ml

1 quart = 0.95 L

1 gallon = 3.785 L

1 inch = .394 inches so 1.75 cm *.394 cm =5.02

set up as proportion, 1 Liter / 100 centiliters = 10 liters / X centiliters , so x = 1,000 centiliters

used to measure no longer than 12 inches

used t measure very small lengths

measures no longer than 1 yard, 3 feet, or 36 inches

measures no longer than 1 meter

used to measure something no longer than 50 feet long

beakers, graduated cylinders, cups, pipettes, measuring spoons

independent = input, unaffected by other dependent - output, dependent on the other "the amount of studying she did for the TEAS impacted her score" The score is dependent on the studying

changes over a period of time or compares relationship between two quantities

always alphabetical, x,y

shows percentage or frequency - whole pie = 100%

shows/compares frequency of continuous data, bars have to touch

shows/compares frequency of non-continuous data bars don't always touch

use chart when visual presentation is important

unknown quantity, x,y, or z

number being multiplied by variable

[x-n] = a OR [x-n]= -a

- a < [x-n] < a

-a is less than or equal to [x-n] which is less than or equal to a

[x-n] > a OR [x-n]< - a

[x-n] is great than or equal to a OR [x-n] is less than or equal to -a

If [x-n] = negative number if [x-n] < 0 if [x-n]< negative number If [x-n] is less than or equal to negative number

If [x-n] > 0 If [x-n] > negative number

always remember to isolate absolute value if possible