Translate each word phrase into an algebraic expression: 1.

Look closely at these phrases using the four operations: Each phrase tells you to operate on two numbers.

expressions, now we are going to translate words into algebraic Organizing and providing relevant educational content, resources and information for students. I ask students which value should come first in the expression, the 4 or the n.  Once we have completed the example, I pass out the envelopes. Pay close attention to the "key We’ll see how to do this in the next two examples. Here we are taking the sum of five times $m$ and $n$. If you make a purchase on one of these sites, I may receive a small commission at no cost to you. © 2020 BetterLesson.

The symbols and variables we’ve talked about will help us do that. You've learned how to work with variables and how to evaluate algebra expressions, now we are going to translate words into algebraic expressions. Y[ntq��w #���ܟcA�0%u �2�}���0����R��PFJ�H޴�FׁL_�ܫ�����>F=%���Y&X��)��9�"�,�-���,�>L*X�G 13) Seven more than the quotient of a number and 2 is 10. We’ll usually start by translating a word phrase to an algebraic expression. commutative, so you must pay close attention to the order in which you I want students to share that a and b have the same answer as well as g and h.  for c and d as well as e and h I take quick poll to see if students think these expressions result in the same answer or different answers. $\begin{array}{}\\ \text{the difference of }20\text{ and }4\hfill \\ 20\text{ minus }4\hfill \\ 20 - 4\hfill \end{array}$, 2. Translate each word phrase into an algebraic expression: The key word is difference, which tells us the operation is subtraction. $6$ less than $w$. Look for the words of and and to find the numbers to subtract. You subtract $7$ from your present age. 10 minutes. We’ll need to be clear about what the expression will represent. digits and you will end up with the same answer. Seven less than means seven subtracted from your present age. I read the directions and show students the different cards that will be in their envelopes. You subtract $$7$$ from your present age. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. The job of the problem solver is to translate the problem from phrases and statements into mathematical expressions and equations, and then to solve the equations.

We’ll see how to do this in the next two examples. Less than means “subtracted from”.

You've learned how to work with variables and how to evaluate algebra How old were you seven years ago? They get to work quickly on the problems. How can write an expression to represent them? What value are you starting with? Finish Editing. Eric has 12 dollars less than her. SWBAT: Not ready to subscribe? In part , we add first and in part , we multiply first. Mathematics.

Get access to hundreds of video examples and practice problems with your subscription! For example, express the calculation “Subtract y from 5” as 5 – y.

Practice. The good news is that these very same words that we use to write numerical expressions are going to be used to write algebra expressions. Look closely at these phrases using the four operations: Each phrase tells you to operate on two numbers. Let $w$ represent the width of the window. $\begin{array}{}\\ \\ 5m+n\hfill \end{array}$ Just make sure that you can justify how you come up with your own algebraic expression, and more importantly that it … Algebraic Expressions Worked Examples Read More » Here students are engaging in MP2, MP3, and MP4. $2$ less than five times $q$, $2$ less than $5q$, Translate word phrases into algebraic expressions, Write an algebraic expression that represents the relationship between two measurements such as length and width or the amount of different types of coins, How old will you be in eight years? What age is eight more years than your age now? The key words are less than.

If students are struggling I may ask them what is going on in the problem, what operation is being used? Instead of "8 plus 9" (with two given numbers), you would see, "a number plus 9". Save my name, email, and website in this browser for the next time I comment. The key word is quotient, which tells us the operation is division. We will study this in more depth as we get into writing and solving I ask students how they know that their expression/equation matches the phrase. ��7*c�2YY�Y��O��D6+��N�tV��p��.�� 2. They are summarized below. Eight more than $y$ I am looking in particular at #3 and 4 to see if they are able to represent them correctly. Note that the video(s) in this lesson are provided under a Standard YouTube License. The quotient of $10x$ and $3$, Solution 15) One less than the product of four and a number is 11. Mathematics » The Language of Algebra » Evaluate, Simplify, and Translate Expressions. The key word is difference, which tells us the operation is subtraction. the context of the word problem. The height of a rectangular window is $6$ inches less than the width. This is most important for operations

Students walk into class and pick up the packet for the day.

Watch the video below to better understand how to write algebraic expressions from statements. expressions. 8 less than the product of 4 and a number Use the variable m to represent the unknown number. Seven less than $a$, 1. $\begin{array}{l}\text{Seven less than }9z\\ \text{Seven subtracted from }9z\\ 9z - 7\end{array}$, 1. five times the sum of $m$ and $n$ Enter Algebraic Expression below: Algebraic Expressions Video Students take turns creating algebraic expressions or equations with cards (out of view of the other student) and reading it aloud to the partner. The quotient of $10x$ and $3$ Solution 1. %PDF-1.5

is to look for key words and to make sure that your expression matches you are multiplying a fraction times a number. I read the example and I have students volunteer to share two ways that I could model the problem with my cards. 14) Five less than twice a number is 7. Because we are multiplying $$5$$ times the sum, we need parentheses around the sum of $$m$$ and $$n.$$, $$\begin{array}{}\\ \phantom{\rule{4em}{0ex}}5\left(m+n\right)\hfill \end{array}$$, To take a sum, we look for the words of and and to see what is being added. The difference of $20$ and $4$ 2. Notice how the use of parentheses changes the result.

We're sorry, but in order to log in and use all the features of this website, you will need to enable JavaScript in your browser. The key words are less than. Write a phrase about the number of dimes. Look for the words of … How much money does Eric have?”  And, “You have n dollars. two less than five times the number of quarters. Substitute $w$ for the width. Register or login to receive notifications when there's a reply to your comment or update on this information. Translating Words into Algebraic Expressions Operation Word Expression Algebraic Expression Addition Add, Added to, the sum of, more than, increased by, the total of, plus + Add x to y x + y y added to 7 7+ y The sum of a and b a + b m more than n n + m p increased by 10 p + 10 The total of q and 10 q + 10 9 plus m 9 + m Subtraction Before we model situations using variables, expressions, and equations we need to be able to translate expressions and equations between word form and algebraic form.

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