What Are Common Keywords For Word Problems
The following is a listing of most of the more-common keywords for word problems:
sold for, cost
Content Continues Below
Note that “per”, in “Division”, means “divided by”, as in “I drove 90 miles on three gallons of gas, so I got 30 miles per gallon”. Also, “a” sometimes means “divided by”, as in “When I tanked up, I paid $12.36 for three gallons, so the gas was $4.12 a gallon”.
Warning: The “less than” construction, in “Subtraction”, is backwards in the English from what it is in the math. If you need, for instance, to translate “1.5 less than x“, the temptation is to write “1.5 x“. Do not do this!
You can see how this is wrong by using this construction in a “real world” situation: Consider the statement, “He makes $1.50 an hour less than me.” You do not figure his wage by subtracting your wage from $1.50. Instead, you subtract $1.50 from your wage. So remember: the “less than” construction is backwards.
Also note that order is important in the “quotient/ratio of” and “difference between/of” constructions. If a problems says “the ratio of x and y“, it means “x divided by y“, not “y divided by x“. If the problem says “the difference of x and y“, it means “x y“, not “y x“.
You’ll be expected to know that a “dozen” is twelve you may be expected to know that a “score” is twenty. You’ll be expected to know the number of days in a year, the number of hours in a day, and other basic units of measure.
ten divided by one-half:
How Do You Add A Function
Operations on Functions: Adding and Subtracting Functions
Read Also: What Is Mean Median Mode And Range In Math
Common Mathematical Symbols And Terminology: Maths Glossary
Mathematical symbols and terminology can be confusing and can be a barrier to learning and understanding basic numeracy.
This page complements our numeracy skills pages and provides a quick glossary of common mathematical symbols and terminology with concise definitions.
Are we missing something? Get it touch to let us know.
Recommended Reading: Kuta Software Infinite Pre Algebra Proportion Word Problems
What Is A Mean In Math Data Set
averageThe mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Examples On Multiplying Functions F G:
Ex 1: Multiply the given two functionsand .
= x5 + 3×4 x3 2×4 6×3 + 2×2 4×2 12x + 4
= x5 + x4 7×3 + 2×2 12x + 4.
Ans: The last answer is x5 + x4 7×3 + 2×2 12x + 4.
Ex 2:Multiply the given two functionsand .
Sol: f = , g =
= x3 + x2 + 7×2 + 7x
Ans: The last answer is x3 + 8×2 + 7x.
Ex 3: Multiply the given two functions and
Sol: Given f = and g =
Multiply the above functions, we get
= 3x 5
= 3×2 + 3×3 9x 5x 5×2 + 15
= 3×3 2×2 14x + 15
Recommended Reading: Exponential Growth And Decay Common Core Algebra 1 Homework Answers
What Are Graniteshares 3x
GraniteShares 3x Long Rolls-Royce Daily ETP is a collateralised, Exchange-Traded Product . It tracks, excluding fees and other adjustments, the performance of the Solactive Daily Leveraged 3x Long Rolls-Royce Holdings plc Index that seeks to provide 3 times the daily performance of Rolls-Royce Holdings plc shares.
What Does The Slash Mean In Help Output
What does the / mean in Python 3.4s help output for range before the closing parenthesis?
> > > helpHelp on class range in module builtins:class range | range -> range object | range -> range object | | Return a virtual sequence of numbers from start to stop by step. | | Methods defined here: | | __contains__ | Return key in self. | | __eq__ | Return self==value. ...
It signifies the end of the positional only parameters, parameters you cannot use as keyword parameters. Before Python 3.8, such parameters could only be specified in the C API.
It means the key argument to __contains__ can only be passed in by position .__contains__), not as a keyword argument .__contains__), something you can do with positional arguments in pure-python functions.
Also see the Argument Clinic documentation:
To mark all parameters as positional-only in Argument Clinic, add a / on a line by itself after the last parameter, indented the same as the parameter lines.
and the the Python FAQ:
A slash in the argument list of a function denotes that the parameters prior to it are positional-only. Positional-only parameters are the ones without an externally-usable name. Upon calling a function that accepts positional-only parameters, arguments are mapped to parameters based solely on their position.
I asked this question myself. Found out that / was originally proposed by Guido in here.
Then his proposal won.
If the function ends with /
You May Like: Glencoe Geometry Worksheets
What Is A Coefficient
A coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient but in the expression x2 + 3, 1 is the coefficient of x2. In other words, a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression. It is generally a number. Observe the following expression which shows that 5 is the coefficient of x2 and 8 is the coefficient of y.
Also Check: Angle Addition Postulate Practice
What Does Average Mean In Math
Average is a term that is used, mis-used and often overused. Typically, many individuals refer to average when they really mean the arithmetic average . Average can mean the mean, the median, and the mode, it can refer to a geometric mean and weighted averages.
Although most people use the term average for this type of calculation:
Four tests results: 15, 18, 22, 20The sum is: 75Divide 75 by 4: 18.75The Mean is 18.75
The truth of the matter is that the above calculation is considered the arithmetic mean, or often referred to as the mean average.
You May Like: Books Never Written Math Worksheet Answers Algebra
How To Simplify Math Expressions
wikiHow is a wiki, similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To create this article, 16 people, some anonymous, worked to edit and improve it over time. This article has been viewed 273,965 times.Learn more
Math students are often asked to give their answer in the simplest termsin other words, to write answers as small as possible. Though a long, ungainly expression and a short, elegant one may technically equal the same thing, often, a math problem isnt considered done until the answer has been reduced to simplest terms. In addition, answers in simplest terms are almost always the easiest expressions to work with. For these reasons, learning how to simplify expressions is a crucial skill for aspiring mathematicians.
Where Does Euler’s Number E Come From
The number represented by e was discovered by mathematician Leonard Euler as a solution to a problem posed by another mathematician, Jacob Bernoulli, 50 years earlier. Bernoulli’s problem was a financial one.
Suppose you put $1,000 in a bank that pays 100% annual compound interest and leave it there for a year. You’ll have $2,000. Now suppose the interest rate is half that, but the bank pays it twice a year. At the end of a year, you’d have $2,250. Now suppose the bank paid only 8.33%, which is 1/12 of 100%, but paid it 12 times a year. At the end of the year, you’d have $2,613. The general equation for this progression is:
where r is 1 and n is the payment period.
It turns out that, as n approaches infinity, the result gets closer and closer to e, which is 2.7182818284 to 10 decimal places. This is how Euler discovered it. The maximum return you could get on an investment of $1,000 in one year would be $2,718.
Recommended Reading: How Can Biology Be Studied At Different Scales
What Is The Sideways U In Math
symbol , one has the. is a proper subset of or equal to symbol. Is a proper subset of or equal tomeansis a subset of.
what is the U and upside down U in math? Union and IntersectionWe just saw how to join two sets using Union . There is also Intersection which means has to be in both. Think where do they overlap?. The Intersection symbol is an upside downU like this:
Moreover, what does mean in math?
Definition of Intersection of Sets: Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. The symbol for denoting intersection of sets is .
What does the sideways Trident mean in math?
The element-of symbol is used in mathematical set theory to indicate that a point, object, or number belongs to a certain set. The symbol resembles the lowercase Greek letter epsilon, but stretched out . When a point, object, or number does not belong to a specified set, the not-element-of symbol is used.
There are many types of set in the set theory:
- Singleton set. If a set contains only one element it is called to be a singleton set.
- Finite Set.
Also Check: Chronic Lateness Psychology
Using Range In Real Life
Range is used in real life to make mathematical calculations. Range can be used to calculate the amount of time that has passed, like when calculating your age.
The current year is , and you were born in 2005 . How old are you? Or how much time has passed?
years have passed, so if your 2020 birthday has already passed, then you are 15 years old.
Range is also used in real life to figure out the dispersion of a high school class test scores, to determine the price range for a service, and much more.
Recommended Reading: Who Coined The Word Geography
How To Solve Algebraic Expression
The purpose of solving an algebraic expression in an equation is to find the unknown variable. When two expressions are equated, they form an equation, and therefore, it becomes easier to solve for the unknown terms.
To solve an equation, place the variables on one side and the constants on the other side. You can isolate the variables by applying arithmetic operations like addition, subtraction, multiplication, division, square root, cube root, etc.
An algebraic expression is always interchangeable. This implies that you can rewrite the equation by interchanging the LHS and RHS.
Calculate the value of x in the following equation
5x + 10 = 50
Given Equation as 5x + 10 = 50
- Isolate the variables and the constants
- You can keep the variable on the LHS and the constants on the RHS.
5x = 50-10
Euler’s Number In Nature
Exponents with e as a base are known as natural exponents, and here’s the reason. If you plot a graph of
you’ll get a curve that increases exponentially, just as you would if you plotted the curve with base 10 or any other number. However, the curve y = ex has two special properties. For any value of x, the value of y equals the value of the slope of the graph at that point, and it also equals the area under the curve up to that point. This makes e an especially important number in calculus and in all the areas of science that use calculus.
The logarithmic spiral, which is represented by the equation
is found throughout nature, in seashells, fossils and and flowers. Moreover, e turns up in numerous scientific contexts, including the studies of electric circuits, the laws of heating and cooling, and spring damping. Even though it was discovered 350 years ago, scientists continue to find new examples of Euler’s number in nature.
You May Like: What Does Denominator Mean In Math
How Do I Convert Word Problems Into Math
The steps for setting up word problems are:
Content Continues Below
Step 1 in effectively translating and solving word problems is to read the problem entirely. Don’t start trying to solve anything when you’ve only read half a sentence. Try first to get a feel for the whole problem try first to see what information you have, and then figure out what you still need.
Step 2 is to work in an organized manner. Figure out what you need but don’t have. Name things. Pick variables to stand for the unknows, clearly labelling these variables with what they stand for. Draw and label pictures neatly. Explain your reasoning as you go along. And make sure you know just exactly what the problem is actually asking for. You need to do this for two reasons:
Regarding point above:
Step 3 is to look for “key” words. Certain words indicate certain mathematica operations. Some of those words are easy. If an exercise says that one person “added” her marbles to the pile belonging to somebody else, and asks for how many marbles are now in the pile, you know that you’ll be adding two numbers.
Mean Median And Mode Together
Combining all of these concepts together, we can individually give the mean, median, and mode of some set of numbers S. Lets say that S = .
- The mean of the set is /13 = 27.62
- The median of the set is equal to the central value. In this case, the central value is 22 as 22 is the 7th largest and 7th smallest element.
- The mode of the set is the most recurring element, so in this case, it is 14.
Thus, for the set S = , the mean, median, and mode are 27.62, 22, and 14, repsectively.
For a number of datasets, it is possible that multiple of these measures will coincide. In the set S = the mean, median, and mode are all the same value, 3.
For example, the above graph represents a variety of Gaussian probability distributions, also called bell curves. Normal distributions represent the expected distribution of the random variable in a class. In a normal distribution, the mean, median, and mode of the dataset are all the same the value that coincides with the peak of the probability distribution. Many datasets, such as the distribution of IQ scores in the population, height, blood pressure, and standardized test scores, take on the form of a normal distribution, making it a useful tool for statistical analysis.
Also Check: Geometry Answers Mcdougal Littell
What Does The With A Slash Through It Mean
Thereof, what does mean?
means not equal. For example 2 + 2 5 2. means approximately equal to, oralmost equal to.
Subsequently, question is, what is Ø in engineering? It looks a bit like Phi the classical greekletter, which is used in a number of engineering disciplinesfor different things. The symbol or variable for diameter, ?, issimilar in size and design to ø, the Latin smallletter o with stroke. In Unicode it is defined as U+2300? diametersign .
In this way, what does with a line under it mean?
It means greater than OR equal to some answer. Forexample, means that x is either greater than 3 OR x equalsthree one or the other condition.
What does and I oop mean?
And I oop is a viral phrase from a video by dragqueen Jasmine Masters. It has since become stereotyped as acatchphrase of VSCO girls. And I oop or I oop can beplayfully used to express shock, surprise, orembarrassment.
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Already a member? Log in here.
9x is a term. 9 is the number part and is called a coefficient. x is the letter part and is called a variable. When a coefficient is combined with a variable, a term is form: 9x
9x and 3x are considered like terms because they both have the same variable. Like terms can be combined by adding the coefficients of the terms. The variable does not change.
9x + 3x = 12x
Recommended Reading: Math Caching
Don’t Miss: Michael Jackson Biological Father
What Does The Forward Slash Mean Set Notation Mean
I have an equation that looks like this:
$L =\begin \hat_i y_i & \text \\ \infty & \text$} \end$
What does this mean
- May 24 19 at 14:31
- $\begingroup$If we have that $S_1, S_2, S_3 \in S$, it is likely so.$\endgroup$ Mauro ALLEGRANZAMay 24 19 at 14:32
- $\begingroup$Usually a set difference will be denoted by a backslash but this was fairly unambiguously intended to mean a set difference by whoever wrote it, I believe. $\endgroup$
Definition Of The Summation Symbol
The symbol `\sum` indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern.
For example, the sum of the first 4 squared integers, `1^2+2^2+3^2+4^2,` follows a simple pattern: each term is of the form `i^2,` and we add up values from `i=1` to `i=4.` We can write the sum compactly with summation notation as \Similarly, \We don’t have to use $i$ for the index, we could use another variable, like $j$:\begin \sum_^2 \frac & = \frac + \frac + \frac + \frac + \frac\\& = 1 + \frac + \frac + \frac + \frac\end
In general, we define the sum as:\
Cite this as
Don’t Miss: What Does Abiotic Mean In Science