write an expression to represent 6 more than y

4. I've got 3 years till High School, But this is just the easy part of algebra 1, This stuff is pretty easy but i can never be too sure. Direct link to annikahubbard40's post Let me walk you through t, Posted 4 years ago. For the phrase "more than", we use addition sign and for the phrase "less than", we use subtraction sign . write that as five t. Five t literally means five times t. Now another way you could have done it is you could have used this To log in and use all the features of Khan Academy, please enable JavaScript in your browser. addition are: Some examples of common phrases and corresponding expressions that involve Direct link to ejeremenko30's post I think I am not sure. Write the algebraic expression. 6. Write an expression that represents the measure of the third side. IM ALIVE PEOPLE Operators require some data to operate on and such data is called operands. anyway im also here to say you can trust both snantanadiffrent and im here to help both people have the anwsers you need to pass this practice I wish you good luck I hope you pass and hvae a good summer a) 173 less than a number b Try the given examples, or type in your own answer as an integer or as a decimal rounded to the nearest tenth. 6 less than the product of 2 times a number c.) 6 more than the quotient of 2 and a number 4. Keep trying until you get it. If a phrase asserts that two quantities are equal, then it is mathematically expressed by an equation. Algebraic Expressions. English expressions can be more complicated than a simple relation between two items. Write two expressions that represent the perimeter of the pool. A player scored 5 more points than Rodger. cookies, y would be two, and she would've made x 2 + 8. Do my homework now. On either side of the triangle, there are two expressions, one being 5n + 6 and 4n + 5. Likewise, we are already given a number $6$ which is going to be incremented by a variable $c$, an be expressed as the algebraic expression, Write an algebraic expression for the given, represent the unknown positive number. It', Posted 4 years ago. Direct link to william.faison's post nine less than the quotie, Posted 3 years ago. is still correct 100%. So in this problem, we are going to understand how to shift a verbal expression or equation into an algebraic expression or equation. cookies, then this would be 100 plus 48 which would Embedded content, if any, are copyrights of their respective owners. In these lessons, we will learn how to write algebraic expressions for word problems. The . Term: Each part of an expression that is separated by a plus sign or a minus sign is called a term. Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable). If she made 100 sugar Prepositional phrases break up the expressions into pieces. 4 - (x + 6) 4 - (6 + x) 4 minus the sum of a number x and 6 . The expression9 + 8represents a single number (17). So9 + xis analgebraic expression. If I just wrote 7r that would also count. What were Phil's net 3. And we have to put this in algebraic form . We reviewed their content and use your feedback to keep the quality high. For example, " 3 3 more than x x " I could use this little Let n represent the number of students. They each ordered the same meal and at the end of lunch, they gave the waitress a $10 tip. Write an expression for the given phrase. Start exploring . So for the given phrase " 6 more than y " , the required algebraic expression is And that's the answer. Write the algebraic expressions to represent the statements. anywho GOODLUCKKKK, Thank you!! " Solution. Upvote 0 Downvote. The number (x) in: "3 more than twice a number is 7" is what we are solving here. the difference between the product of four and a number and 6 $16:(5 the product of the square of a number and 8 $16:(5 8x2 fifteen less than the cube of a number $16:(5 x 3 15 five more than the quotient of a number and 4 $16:(5 Write a verbal sentence to represent each . On the left, there is y and on the right, there is '6' and the inequality 'less than or equal to' in the middle. How do you write the variable expression for: a quotient of 2 and the sum of a number and 3 ? If you , Posted 5 years ago. For example, the phrase. I'll get 6 and 3. If it's exactly 123200, then congrats, you are a master of guessing! Let me check my answer here. Write a verbal . B Denise G. Let's look at an example in which the expression consists of more than one number and/or operation. The difference between a number and 7 is . For Free. What do you put when it says "what is the quotient of 9 and c?". bye. The keyphrase, can be composed as the algebraic expression, $10$ more than the product of $5$ and the positive number $b$, $4$ divided by the summation between the number $a$ and $7$. Comment 1. Let #x# be that number: #2x+8# Answer link. In the problem above, the variable g represents the number of groups in Ms. Jensen's class. All rights reserved. | Contact Us | Privacy Policy | Terms of Use. However, you may have been given some explicit directions in IXL that asked you to write the terms in a certain order. - [Voiceover] Let's do some examples of the writing expressions That's the total number Junior High School answered Write an expression to represent each of the following. Is correct so if someone has different answers don't trust them btw :/, Nobody probably even scrolls down this far XD 62/87,21 Four less . Write your pattern using the special characters and literal characters. In algebra, we use letters of the alphabet to . If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Let g represent the amount of snow in Greenville. tool right over here. Let's do a few more of these. Get a free answer to a quick problem. Define your variable and solve. The square of x is x2. If you make a mistake, choose a different button. 6 more than the product of 2 times a number b.) Here are the steps to writing a word statement as an expression or an equation: Identify the unknown quantity (or quantities). Let's do one more of these. \n \n. Write an expression for the number of quarters Paulo in terms of the number of quarters Marie has. y 6 2(13 m) 2m . 3 more runs than Pirates scored P + 3 9. Step 2: So, the statement "y less than or equal to 6" translates to. It determines the associations and measures that arise in quantities, for example, the difference of three times a number, $y$, and two. For example, Sima age is thrice more than Tina. Write the phrase as an expression. score. add, subtract, multiply, divide. Write an algebraic expression to represent the number Of people that attended the second year, p + 43. b Caps b Caps Dasan has b baseball caps. Because 8 is a coefficient and x is a variable, we can only write this as 8x. The class has a goal of raising \$500$500dollar sign, 500 by selling ccc boxes of candy. Write an expression for the number of points Daniel scored, in terms of M, the number of points Michael scored. c) Find the integers. Let me walk you through this step by step. A.-11+x B.x+11 C.-11x* D.-11-x which phrase is represented by the expression x/-6 A.negative 6 times x B.x divided by negative 6 C. the sum of x and negative 6* D.negative 6 divided by x which phrase. Got that right. a. So hopefully that gives you b) Take the quantity -3 times x and then add 1. This kind of problem requires the understanding of the keywords that are used in mathematics as a way to express algebraic terminology. Abby baked 48 cookies and divided them evenly . phrase. A bicycle with 0.80 m diameter tires is coasting on a level road at 5.6 m/s. 3. 0 times. If you're seeing this message, it means we're having trouble loading external resources on our website. How much money will each employee get? So 6, I could use this 2. Twice a number is 2x, and quotient means division, so the quotient of twice a number and four is 2x/4. 2. 2x-14=42. In other words, you are looking for a number (x) that if you multiply it by two (same as twice) and then add 3, you get 7. a m = a a a am times.. b 4 = b b b b.. 5 3 = 5 5 5.. 5. Write an expression to represent: "the sum of twice a number and 7" answer choices 2n + 7 2 (n + 7) (2 + n) + 7 2n (7) 2 + n (7) Question 5 30 seconds Q. It looks like nothing was found at this location. So it says "Write an expression to represent 11 more than a." They tell us the operation is addition. Do My Homework. Some basic mathematical operators are +, -, x and /. Write an expression for the number of fives. player actually receives. Direct link to vusingh's post $324/x is the expression, Posted 5 years ago. MORE THAN. was $105, he wins $105, but if he had to spend $100 Who are the experts? A number yminus 75 y 75 The phrase "minus" means subtraction. can be replaced by any number. 12-5 I'm here to help's answers work as of 2021. Herman's class is sel. Transcribed Image Text: Expressions With More Than One Operation (6-7) Write the algebraic expression that represents the following: a. c. The quotient of 3 and a number z 3 z, or 3 z The phrase "quotient of" means division. You asked a friend to think of a nonnegative number, add two to the number, square the number,. is it possible to put the variables before the number in the equation when using multiplication. Direct link to Kim Seidel's post Quotient means division. a total of 50 cookies. Anybody know what app he uses? Writing expressions Example 1. Pick 2 random numbers that add up to 7,000 and plug them in to the equation for part B as the values for x and y, and see what answer your equation yields. The sum of four times a number plus five times another number. Write an expression to represent the number of points Nadine scored. Your teacher split c pieces of candy among 23 students. Variables in expression are usually denoted as x and y, but it can be and other symbol. Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable). Thrice a number p 8 yd be209709 to . :/, aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa. Writing basic algebraic expressions word problems. 5. Write your answer as an expression. The given phrase states that a result can be obtained by adding 10 more to the variable. Solution \n (a) The key words are more than. And if not, why not? Now put them all together. less than 3 times Roman's weight. For example, the phrase "two more than five" can be written as the expression 5+2 5+2. What about 6 more than y? example: You have 3 times as much money as Maria. Seven multiplied by x can be written as 7x. The . Write an algebraic expression to represent Julia's score. Write an algebraic expression for "6 more than the product of a number (y) and 4". You want to find 6 more than the product of 8 and "X." :), Why do you talk in this ducument that 3 more than x is x+3? Direct link to Yesenia's post Write an expression for ", Posted 3 years ago. much he actually had to spend. Q: Write algebraic expression without parentheses. Write an expression to represent "3 less than a number y" answer choices 3 - y 3 < y y - 3 y 3 Question 6 120 seconds Q. Daniel scored three times as many points as Michael in a one-on-one basketball game. 6t + 3 6. Advertisement Answer: Let's call the unknown numbers n and m. Let n be the bigger one. answered by tanishka pachare. 21 decreased by a number x. Direct link to Patsy Froneberger's post how do I make the divisio, Posted 2 years ago. Also, calculate the angular speed of the tires. Write an inequality for the following statement. 2 is less than or equal to 18 divided by 6; 2 is less than or equal to the quotient of eighteen and six. Katherine is 2 years older than Christine. Learn to write algebraic expressions in and out of word problems. Write an algebraic expression for the total cost of the trip. Answer: as we know that Here are some examples of algebraic expressions: 1. i have a boyfriend. This video teaches how to dissect a word problem in order to define a variable and write an equation. Write an expression to represent: Six more than the quotient of four and a number x xx. Kai's score on a test was 12 points greater than Julia's score. 5 less than the product of 3 and a number, twice the difference between a number and 9. a\ne 1\cdot 12 a = 112. How much of money did each, I guess you'd say how much money, not how much of money, it's a grammatical error. i just asked you what your name was. Direct link to Kim Seidel's post Because of the commutativ, Posted 2 years ago. Would 8n + 22 be correct? little dot symbol here. Select all the expressions that represent the phrase. 7 less than y. five times t, either of these, five dot t or five t means The town of Rayburn received 6 more inches of snow than the town of Greenville. 1. fifteen less than the cube of a number 62/87,21 Let the number be x. Cube of x is x3. Copyright 2005, 2022 - OnlineMathLearning.com. Which expression represents 6 more than x? g, or 2g can represent "g groups of 2 students". And to all of yall posting what you say on self writing questions, be careful too. Using x, write an expression for the number of cookies that were left. Writing expressions with variables (practice) The core idea in algebra is using letters to represent relationships between numbers without specifying what those numbers are! If you're seeing this message, it means we're having trouble loading external resources on our website. Craigslist Mobile Homes For Rent In Myrtle Beach, Sc, Houses For Rent In Belleview Florida No Credit Check, what command starts with a verb in childcare, onpoint mobile deposit funds availability. Step-by-step explanation: Algebraic expressions are useful because they represent the value of an expression for all of the values a variable Do My Homework. If you're seeing this message, it means we're having trouble loading external resources on our website. Direct link to VIOLET9364's post At 6:38 what is the answe. You could get into deep truble and possibly have to restart everything if the teacher found out. Direct link to fermul4807's post Anybody know what app he , Posted 3 years ago. How to Write Algebraic Expressions for Situations? Why would u put that many times, @Im here to help! Possible Answers: Correct answer: Explanation: Writing this expression in simplest terms can be achieved by first factoring the radical into its smallest factors. Check my answer. It's just a number with a different name. First week only $4.99! What is the speed of the blue dot when it is 0.80 m above the road? And we have to put this in algebraic form . Write an algebraic expression to represent the situation. Why use math if we can describe things in words? Mrs. Gaddie has two dogs. he does get the x dollars, but he had to pay something Dion has two less than Dasan. Let the unknown number be the variable x. The expression 9 + 8 represents a single number (17). 3x + 2y - 6 6. I'ts pretty easy once you you learn the system and the patterns that were put into the problems. How to write regular expression? Solution: To make this much easier to understand, we are going to divide this phrase into two parts. which is in miles per hour, so five miles per hour I have a weird problem, when I practiced on khan on subtraction with algebra it showed something like this p - 6 I use that example to do my subtraction problem on IXL but it said it was wrong I had to put the number then the letter. 3. No matter how beautiful, awe-inspiring, or unexpected an AI-generated artwork is, we cannot currently call it creative because we cannot - yet - assign agency to machines, writes Dustin Stokes and Elliot Samuel Paul. Direct link to jennifer's post Why do you talk in this d, Posted 6 years ago. Write your answer as an expression. b. The current in a wire varies with time according to the relation $I=55A-\left(0.65\dfrac{A}{s^2}\right)t^2$. Examples 1 -4 : Use a bar model to represent the following expressions. 6. enter the tournament, so for example, if x had to split it evenly among the p players, so DRAFT. Let's look at some examples of writing algebraic equations. Represent algebraically for his father's weight. We started with n sweets but subtracted 1. Posted 6 years ago. 2) The length of a rectangle is 3 feet less than 4 times its width. i hope this helped. Write an expression that gives the weight in pounds of the lion. When writing algebraic expressions, the words 'more than' means to add. Harry Jan Ice Harry talked m minutes on his cell phone. If it's too high, try making the x value smaller and the y value higher. Three consecutive even integers have a sum of 102. a) Write an algebraic expression to represent each integer. Both of them would be 11 more than a. That's right. Finally, we get our answer of 8x + 6. 1. x x. it with math symbols instead of writing the word minus. Example 2:Write each phrase as an algebraic expression. - Let's do a few examples Sign up for our weekly roundup of the latest on inclusive behaviours in the workplace. The expressions can be written as verbal phrase or algebraic expression. In English: An integer is an arithmetic expression. Sometimes in math, we describe an expression with a phrase. Gaddie. Notice the uses of the preposition "of" in the last example. An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change. algebraic expression $ \dfrac{4} {a + 7} $. What expression would be: Both are acceptable translations of the phrase. 8 decreased by 2. what does increased by mean? We can write the algebraic expression as n + 4. Introduction to the Language of Algebra. The keyphrase less thanindicates the arithmetic operation of subtraction. Remember that the sine of an angle is the opposite over the hypotenuse. 5. For example, the phrase "6 added to some number" can be written as the expression x + 6, where the variable x represents the unknown number. A simple example of an expression is 2 + 3. represent 7 times r." There's a couple ways I could do it. Direct link to Sarah dream's post anyone know what m decrea, Posted 3 years ago. First, put the expression "+6." Add your answer and earn points. I really get it now and i got a 100%. Define any variables used. Step 1: define your variable (letter), if one is not given in the . Write an algebraic expression to represent the verbal expression 7 less than a number. Let x be the amount on the card. Since we are adding, it does not matter which way we write this. Let's look at an example in which we use a variable. is giving us the net. This problem aims to find an algebraic expression for a given verbal expression, using the knowledge of simple mathematics and some commonly known algebraic and arithmetic techniques.. Algebraic expressions . five times t, it makes sense. 3\le 20\div 4 3 20 4. a\ne 7\cdot 4 a = 74. The number of quarters Paulo has is 3 times the quantity of 5 fewer than the number of quarters Marie has. But what is 8 increased by g? tutor. His father weighs 5 kg. We have a new and improved read on this topic. Write an algebraic expression to represent his earnings for one day. tutor. The value of this expression can change. (btw my name is from recess warriors), Well nobody cares about you either @I DONT CARE U TRASH PEOPLE. Direct link to Elsa's post At 1:10 and at 1:32, for , Posted 5 years ago. No packages or subscriptions, pay only for the time you need. First consider the expression for For example, the phrase "two more than five" can be written as the expression . Quotient means division. to enter the tournament, then his net would be 105 minus 100, or five dollars, so this You had $20 but spent d dollars on ice cream. Select your answer by clicking on its button. Five more than LV +5. figure out the number of miles, you'd want to take her speed, The problem is that its very confusing for which order I should put the problem in. Direct link to 's post Product is multiplication, Posted 2 years ago. Direct link to Mmesoma Nwabuwa's post This stuff is pretty easy, Posted 6 years ago. Your friend ran 6 . These kinds of expressions are commonly used in word problems, where you must examine the distinctive words that specify the operation required to solve the problem. For the first part, let $a$ represent the unknown positive number. 1. Three-fourths of f 11. y diminished by 9 12. 6 less than the quotient of z divided by 3 8. twice a number k plus the quantity s minus 2 9. 2. a number less 35 62/87,21 Let n represent a number. So 6 divided by b. and these words are really code for very specific mathematical symbols. Solution : Write a word equation based on the situation. You'll eventually run into a teacher who won't accept it. The difference between six times a number and two Page 1 of 14 REVISED 2/4/2020 b. Let's check the answer, Sal writes an expression to represent 11 more than a. 4. fless than twelve 5. Practice Test. Answer: x + 6 Still stuck? Answer (1 of 5): y=the algebraic statement 2x=30 PREMISES y=an algebraic statement denoting "a number x doubled to get 30" CALCULATIONS A number x doubled to get 30 can be denoted by the algebraic statement: 2x=30 C.H. algebra, you use this symbol instead of that kind of About this tutor . Solution: To make this much easier to understand, we are going to divide this phrase into two parts. These were some pretty easy questions. Get 1-on-1 help from an expert tutor now. y = __ 1 3 x + 2 y = x 2 (3, 1) y 2 2 O x 2 2 solution: 2. An algebraic expression is a mathematical expression that consists of variables, numbers and operations. Notice that the phrase "decreased by" tells us to use subtraction. Write an algebraic expression for "6 more than the product of a number (y) and 4". Operators include division, multiplication, addition and subtraction. Thanks! multiplication are: Some examples of common phrases and corresponding expressions that involve Five times a number decreased by twice the same number. 8 + g. Everything you can do with a number (add, subtract, multiply, divide, exponentiate, etc.) yesipaz12 is waiting for your help. A rectangular bar can represent a variable, and a square bar can represent a unit. Find the total cost of the trip if there are 56 students going on the trip. Mathematical equations can often be confusing, but there are ways to make them clearer. We have the n sweets in the jar and 4 more. In this unit, students solve equations of the forms px+q=r and p(x+q)=r, and solve related inequalities, e.g., those of the form px+q>r and px+qr, where p , q, and r are rational numbers. Write an expression for the value of x in terms of y. b. 6. Direct link to asgal's post I have a weird problem, w, Posted 4 years ago. amount of money we got amongst the number of players. Distinct keywords or phrases included in the verbal expression let us to also decide the order of numbers or variables, such as less than or equal to, greater than or equal to, more than, and difference of. Writing Expressions (Lesson 17) If you didn't follow their instructions, that could have caused it to be wrong. Scroll down the page for more examples and explanations. When reading some schematics of a rectangular garden you see the binomial x +8 feet represents the length and the binomial x - 1 represents the width. Likewise, we are already given a number $6$ which is going to be incremented by a variable $c$. Write an algebraic expression that represents "9 minus the quantity y divided by 7.". Note that an expression doesn't need to include a variable to be an expression. Let w w represent the width of the window. Tickets to a play cost $8 each. 2.1 Use the Language of Algebra. 16 b.) 2.5 less than a number d 3. Example Problem 1: One-Step Expressions. Write an expression that represents the measure of the third side. Same as you would say m decreased by 2 is m-2. winnings from the tournament? What are variable expressions? The ages change ("vary") but the 3 years between them always stays the same ("constant"). Sometimes in math, we describe an expression with a phrase. We can write a context-free grammar (CFG) for the language of (very simple) arithmetic expressions involving only subtraction and division. Write an expression for the total number of . Video transcript. The product of 8 and a number is 8n=8n 6 more than that means to add on 6 So the expression "6 more than the product of 8 and a number" is 8n+6. The symbols 17 + x = 68 form an algebraic equation. What are variables? "Write an expression to A player scored 5 more points than Rodger. 1) Kim has 7 more than 5 times the amount Sylvia has. We're getting how much he got, but we're subtracting how is usually indicated by the plus symbol $+$, is going to be used in this problem, . The expression9 + xrepresents a value that can change. SO BE CAREFUL!!!!!!! Direct link to Marissa Wedel's post ok so i got a question, 8, Posted 4 years ago. Direct link to sicspi's post How do I solve this probl, Posted 4 years ago. BTS sucks kpop sucks the only kpop song I will respect is gangdam style, bts bad kpop bad only kpop i will respect is gangdam style. it's not like he just walks away with x, I means, Let the keywords and logic help you find the proper corresponding math expressions. Direct link to odionicio's post What do you put when it s, Posted 5 years ago. 6. im going to universal studios next week any tips? The Semites named it gimel.The sign is possibly adapted from an Egyptian hieroglyph for a staff sling, which may have been the meaning of the name gimel.Another possibility is that it depicted a camel, the Semitic name for which was gamal.Barry B. Powell, a specialist in the history of writing, states "It is hard to imagine how gimel = "camel" can be . Now, we add the expression "+6." This is asking you for the division of 9 and c. Does that help? 1000 # 2h models the population. 14 less than f f - 14 7. p more than 10 10 + p 8. A number x increased by 3. oobleck. gets confused with x when you're using x as a variable so that's why this is a lot more useful. If she made two sugar Product is multiplication, more or add or increase is addition, less or decrease is subtraction, and split or quotient is division. Alright, his net winnings, okay. Examples: Pens are sold in packs of 6 and rulers are sold in boxes of 10. b) Write an equation to represent the sum of the integers. An algebraic expression is a concise way of describing mathematical objects through the use of numbers, variables (letters), and arithmetic operations such as addition, subtraction, multiplication, and division. I just want to say ik that I cant teell you what to do but if I where you I would try to study more and cheat less. ; Asturianu; Azrbaycanca; ; ; Catal; etina; Dansk; Deutsch; Eesti; ; Espaol; Esperanto Direct link to Alex's post Yes. Example 1: Write each sentence as an algebraic equation. Just like any language, math has a way to communicate ideas. DISCLAIMER! To write an expression, we often have to interpret a written phrase. , Posted 4 years ago. Direct link to Halo the Starky (MDC2005)'s post 48 Chocolate Chip Cookies, Posted 7 years ago. Twice a number is eighteen. Half of a number is 16. Translate the phrase into an algebraic expression. Write an equation to represent this situation. We also wrote math statements for algebraic expressions. Mark the text by underlining key words, and then write an expression using variables and numbers for each statement below. represent j minus 15." This is a third of their usual amount. Other types of algebraic expressions are: Numeric . 8x 2. -5 plus the quantity of 4 times x 1 Answer Hriman . So that's how much money each Im here to help: is 100% correct I got a 100, Thanks Im here to help! For the second part, we are given a number $b$. 6 more than x would be 6+x. Step 1: define your variable (letter), if one is not given in the . Direct link to jaliala tucker's post do it matter how you wrig, Posted a day ago. First, recognize that we have an unknown number. Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable). In the language of algebra, we say that Greg's age and Alex's age are variables and the 3 is a constant. However, depending on the word problem, there are exceptions. Solution:Leterepresent the number of employees in the company. Some examples of common phrases and corresponding expressions that involve addition are: Rewrite the equation using a variable for the unknown quantity and the given values for the known quantities. answered 09/10/19, Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor, More than translates to addition. So, the verbal expression $6$ less than the positive number $a$ can be composed as the algebraic expression $ 6 a $. (_). Your Name. Directions: Choose the algebraic expression that correctly represents the phrase provided. translate each English phrase into an algebraic expression, and use n to represent the unknown. Write an expression to represent "2 more than a number" Writing Expressions Practice. For the third part, we are again given a number $a$. The sum of five and the square root of eight t imes a number is twelve. DrBob222. Instead of writing M-I-N-U-S, I could write j minus 15. The exponent of a number tells us how many times the number is multiplied.. For example,. 7(r) and 10(u) do mean "7 times r" and "10 times u", so they do answer the question correctly.

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write an expression to represent 6 more than y