TEAS Exam study guide
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1. What are integers: Integers dont include fractions, decimals or mixed numbers.
Any positive or negative whole number including zero
2. What are rational and irrational numbers: Rational numbers include all integers decimals and
fractions. Any terminating or repeating decimal number is a rational number. Irrational numbers cannot be written as
fractions or decimals because the number of the decimal places is the infinite and theres no recurring pattern of digits
within the number
3. What is the value of each digit in the following number 14,059.826: 1: Ten
thousands
4: thousands
0: hundreds
5: tens
9: ones
8: tenths
2: hundreths
6: thousandths
4. What are the rules for adding and subtracting positive and negative num-
bers: When adding if the signs are the same, add the absolute value of the addens and apply the original sign to
the sum. When the original signs are different, take the absolute values of the addens and subtract the smaller value
from the larger value then apply the original sign of the larger value of the difference. For subtracting change the sign
if the number after the minus symbol and then follow the addtion rules
5. What are the rules for multiplying and dividing positive and negative num-
bers: If the signs are the same, the product or qoutient is positive when multiplying or dividing numbers
if the signs are opposite the product is negative
when more than two factors are multiplied together the sign of a product is determined by how many negative factors
are present. If there are an odd number of the negative factors then the product is negative. An even number of negative
factors indicates a positive product
6. Simplify the following expression 1/2+( 3(3/4)-2)+4: When simplifying expressions, first
preform operations within groups. Within the set of parentheses are mulpication and subtraction operations. Preform
the multiplications first to get 1/2 + ( 9/4 - 2) + 4. Then, subtract 2 to get 1/2+ 1/4+4. Finally preform addition from
left to right 1/2 + 1/4 + 4= 2/4 + 1/4 + 16/4 = 19/4
, TEAS Exam study guide
Study online at https://quizlet.com/_fjdyb1
7. What does a fraction represent: It represents the quotient of the two numbers:
x divided by y, or x out of y equal parts
8. How do you multiply decimals: multiply as though whole numbers once the product is calculated
count the number of places to the right of the decimal in both the multiplicand and the multiplier then count that
number of places from the right of the product and place that decimal in that position
9. How do you divide with decimals: The divisor must be converted into a whole number begin by
moving the decimal and the divisor to the right until a whole number is created next move the decimal in the dividend
the same number of spaces to the right
10. how do you express a percentage as a fraction: Divide the percentage number by 100 and
reduce the fraction to its simple possible terms
11. What is 15% written as a fraction and as a decimal: To convert a percentage to a fraction
write the percentage over 100 15 over 100 and reduce it equals 3 over 20 to convert a percentage to a decimal simply
remove the% and move the decimal 2 places to the left 15% equals 0.15
12. What is 3 2/5 written as a decimal and as a percentage: The fractional part two over five
can be written as a decimal by dividing 5 into two which gives you 0.4 adding the hole to the part gives 3.4 alternatively
note that 3 and 2/5 equals 3 and 4/10 equals 3.4 to change a decimal to a percentage move the decimal point two
places to the right and add a percentage sign 3.4 times a 100 = 340%
13. At a hospital 40% of the nurses work in labor and delivery if twenty nurses
work in labor and delivery how many nurses work at the hospital: 40% of the nurses
are labor and delivery nurses the word of indicates multiplication and the word is and are indicate equivalents translate
the problem into a mathematical sentence gives 40 percent times N = 20 where N represents a total of nurses solving
for N gives N = 20 over 40% = 20 over 0.40 = 50 fifty nurses work at the hospital
14. What is the difference between a direct proportion and an inverse propor-
tion: A direct proportion describes a relationship in which a quantity increases by a set amount for every increase
in the other quantity or decreases by that same amount for every decrease in the other quantity while an inverse
proportion is a relationship in which an increase in one quantity is accompanied by a decrease in the other or vice
versa
15. A patient's heart beats over 422 times over the course of six minutes about
how many times did the patient's heart beat during each minute: The words about
how many indicate that you need to estimate the solution 422 can be rounded to down to 420 which is easily divisible
by six a good estimate is = 70 beats per minute more accurately the patients average hardware was just over
seventy beats a minute since his part I actually beat a little more than 420 times in six minutes
, TEAS Exam study guide
Study online at https://quizlet.com/_fjdyb1
16. What is a variable what is the difference between an independent indepen-
dent variable: A variable is a symbol usually an alphabetic character designating a value that may change within
the scope of a given problem an independent variable is an input into a system that may take on values freely while
the dependent variables are those that changes the consequence or changes in other values in the equation
17. When manipulating equations what is the key rule to keep in mind: Whatever
you do to one side of an equation you need to do the other side
18. When solving inequality is what is one rule that differs from solving equa-
tions: Solving inequalities can be done with the same rules as solving equations however when multiplying or
dividing by negative number the direction of the inequality sign must be flipped or reversed
19. On the coordinate plane where are the each four quadrants and what are
the signs of the variables in each: Quadrant 1 top right x and y are both positive
quadrant 2 Top left x negative and y positive
quadrant 3 bottom left X and Y both negative
quadrant 4 bottom right X positive and Y negative
20. What is the difference between precision and accuracy: Precision describes how reliable
or reputable a measurement is accuracy describes how close a measurement is to being correct
21. How do you convert measurements between different units: When going from a
larger unit to a smaller unit multiply the number of the known amount by the equivalent amount or conversion factor
when going from a smaller unit to a larger unit divide the number of the known amount by the equivalent amount
22. Define the following types of geometric shapes circle polygon and solid: A circle
is the set of all points equal distance from a defined point the center the distance between the circle and Its center is
the radius
A polygon is a two dimensional shape made up of straight lines triangles and rectangles are the most commonly
encounter types of polygons
A solid is a three dimensional shape the most commonly encountered types of solids are spheres (balls) cylinders (cans)
and rectangular prisms (boxes)
23. Define the following geometric terms perimeter area and volume: The perimeter
is the distance around the outside of a two-dimensional shape for circles the perimeter is known as a circumference
The area is the amount of flat space a two dimensional shape contains
The volume is the amount of space contained within a three dimensional shape
Study online at https://quizlet.com/_fjdyb1
1. What are integers: Integers dont include fractions, decimals or mixed numbers.
Any positive or negative whole number including zero
2. What are rational and irrational numbers: Rational numbers include all integers decimals and
fractions. Any terminating or repeating decimal number is a rational number. Irrational numbers cannot be written as
fractions or decimals because the number of the decimal places is the infinite and theres no recurring pattern of digits
within the number
3. What is the value of each digit in the following number 14,059.826: 1: Ten
thousands
4: thousands
0: hundreds
5: tens
9: ones
8: tenths
2: hundreths
6: thousandths
4. What are the rules for adding and subtracting positive and negative num-
bers: When adding if the signs are the same, add the absolute value of the addens and apply the original sign to
the sum. When the original signs are different, take the absolute values of the addens and subtract the smaller value
from the larger value then apply the original sign of the larger value of the difference. For subtracting change the sign
if the number after the minus symbol and then follow the addtion rules
5. What are the rules for multiplying and dividing positive and negative num-
bers: If the signs are the same, the product or qoutient is positive when multiplying or dividing numbers
if the signs are opposite the product is negative
when more than two factors are multiplied together the sign of a product is determined by how many negative factors
are present. If there are an odd number of the negative factors then the product is negative. An even number of negative
factors indicates a positive product
6. Simplify the following expression 1/2+( 3(3/4)-2)+4: When simplifying expressions, first
preform operations within groups. Within the set of parentheses are mulpication and subtraction operations. Preform
the multiplications first to get 1/2 + ( 9/4 - 2) + 4. Then, subtract 2 to get 1/2+ 1/4+4. Finally preform addition from
left to right 1/2 + 1/4 + 4= 2/4 + 1/4 + 16/4 = 19/4
, TEAS Exam study guide
Study online at https://quizlet.com/_fjdyb1
7. What does a fraction represent: It represents the quotient of the two numbers:
x divided by y, or x out of y equal parts
8. How do you multiply decimals: multiply as though whole numbers once the product is calculated
count the number of places to the right of the decimal in both the multiplicand and the multiplier then count that
number of places from the right of the product and place that decimal in that position
9. How do you divide with decimals: The divisor must be converted into a whole number begin by
moving the decimal and the divisor to the right until a whole number is created next move the decimal in the dividend
the same number of spaces to the right
10. how do you express a percentage as a fraction: Divide the percentage number by 100 and
reduce the fraction to its simple possible terms
11. What is 15% written as a fraction and as a decimal: To convert a percentage to a fraction
write the percentage over 100 15 over 100 and reduce it equals 3 over 20 to convert a percentage to a decimal simply
remove the% and move the decimal 2 places to the left 15% equals 0.15
12. What is 3 2/5 written as a decimal and as a percentage: The fractional part two over five
can be written as a decimal by dividing 5 into two which gives you 0.4 adding the hole to the part gives 3.4 alternatively
note that 3 and 2/5 equals 3 and 4/10 equals 3.4 to change a decimal to a percentage move the decimal point two
places to the right and add a percentage sign 3.4 times a 100 = 340%
13. At a hospital 40% of the nurses work in labor and delivery if twenty nurses
work in labor and delivery how many nurses work at the hospital: 40% of the nurses
are labor and delivery nurses the word of indicates multiplication and the word is and are indicate equivalents translate
the problem into a mathematical sentence gives 40 percent times N = 20 where N represents a total of nurses solving
for N gives N = 20 over 40% = 20 over 0.40 = 50 fifty nurses work at the hospital
14. What is the difference between a direct proportion and an inverse propor-
tion: A direct proportion describes a relationship in which a quantity increases by a set amount for every increase
in the other quantity or decreases by that same amount for every decrease in the other quantity while an inverse
proportion is a relationship in which an increase in one quantity is accompanied by a decrease in the other or vice
versa
15. A patient's heart beats over 422 times over the course of six minutes about
how many times did the patient's heart beat during each minute: The words about
how many indicate that you need to estimate the solution 422 can be rounded to down to 420 which is easily divisible
by six a good estimate is = 70 beats per minute more accurately the patients average hardware was just over
seventy beats a minute since his part I actually beat a little more than 420 times in six minutes
, TEAS Exam study guide
Study online at https://quizlet.com/_fjdyb1
16. What is a variable what is the difference between an independent indepen-
dent variable: A variable is a symbol usually an alphabetic character designating a value that may change within
the scope of a given problem an independent variable is an input into a system that may take on values freely while
the dependent variables are those that changes the consequence or changes in other values in the equation
17. When manipulating equations what is the key rule to keep in mind: Whatever
you do to one side of an equation you need to do the other side
18. When solving inequality is what is one rule that differs from solving equa-
tions: Solving inequalities can be done with the same rules as solving equations however when multiplying or
dividing by negative number the direction of the inequality sign must be flipped or reversed
19. On the coordinate plane where are the each four quadrants and what are
the signs of the variables in each: Quadrant 1 top right x and y are both positive
quadrant 2 Top left x negative and y positive
quadrant 3 bottom left X and Y both negative
quadrant 4 bottom right X positive and Y negative
20. What is the difference between precision and accuracy: Precision describes how reliable
or reputable a measurement is accuracy describes how close a measurement is to being correct
21. How do you convert measurements between different units: When going from a
larger unit to a smaller unit multiply the number of the known amount by the equivalent amount or conversion factor
when going from a smaller unit to a larger unit divide the number of the known amount by the equivalent amount
22. Define the following types of geometric shapes circle polygon and solid: A circle
is the set of all points equal distance from a defined point the center the distance between the circle and Its center is
the radius
A polygon is a two dimensional shape made up of straight lines triangles and rectangles are the most commonly
encounter types of polygons
A solid is a three dimensional shape the most commonly encountered types of solids are spheres (balls) cylinders (cans)
and rectangular prisms (boxes)
23. Define the following geometric terms perimeter area and volume: The perimeter
is the distance around the outside of a two-dimensional shape for circles the perimeter is known as a circumference
The area is the amount of flat space a two dimensional shape contains
The volume is the amount of space contained within a three dimensional shape
