The ratio of a number and four. 1. Half of a number is twenty. Let x be the number. 3x . 15 - 9x. 7.) We'll abbreviate number to n. 2n twice a number − minus 4 4 2n −4 1. write an algebraic expression for the word phrase: the quotient of r and 12 a.r * 12 b.r/12**** c.r-12 2. write a word phrase for the algebraic expression: 2t - 9 a.nine fewer than two times a number t***** b.nine fewer than Four more than three times a number. Let's look at some examples of writing algebraic equations. 2x - 1 = 17. Get 1-on-1 help from an expert tutor now. . Use the variable m to represent the unknown number. An expression is made up of terms. 3 1. (2) x − 7 = 10 is Three times a number is negative six. State what the variables represent, and then write the phrase as an algebraic expression. "4 more than" is implying addition. 2x − 3. heart outlined. Algebraic Expressions DRAFT. 18) Seven more than twice a number is 1. 20) The product of 8 and the difference of n and Translate each verbal phrase into an algebraic expression or equation. Three times a number subtracted from ten. 14) Five less than twice a number is 7. When we put together multiple words in the table, it could be confusing and you will need practice. Six less than 3 times a number is 15. _____ 2. By: William W. answered • 09/12/19. 142. Three less than twice a number x A 5. Create. The quotient of a number and 4 more than another number. Equals ( = ) equals Seven less than a number equals ten. 2. _____ 2. 2. The number of pennies is seven less than twice the number of nickels. Each phrase tells you to operate on two numbers. and C, and that twice as much was added from Bin C as from Bin A. 500. twenty five less than some number, k. the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x . When they are saying "4 less than twice a number", that's the same as saying "twice a number minus 4". x − 7 = 10 is Three times a number is negative six. 6x - 5 2x 9) The product of two numbers, if one number is one less than x(2x - 1) twice the other number. Twice a number means multiplying two with that number, which is x. 2x - 3. Examples: 1. 15. t more than w 16. one-third of z 17. twice the difference of p and q 18. a number that exceeds m by 4 . For each phrase below, pick variables to represent the unknowns. Look for the words of and and to find the numbers. Solution: The keywords "increased by" imply addition. Tutor. Play this game to review Pre-algebra. 2x - 1. 3a - 6 = 15. Five less than twice a number is 7. 4 times a number n, OR the product of 4 and a number, n. 100. . If we choose our variable to be the letter a, we get 8 − a. Examples of binomial include 5xy + 8, xyz + x 3, etc. Solution. The difference between four times the number and 13 is 47. What is an algebraic expression? Let x = the number. Let x be the number. 14 less than f f . 12 = 3x. Five decreased by twice a number. An algebraic expression is a number, . Translate the words to the right of the equals word into an . 1. In other words, we are going to subtract the unknown number from the number 8. 3x + 12. Six less than the quotient of number and four. Convert from a verbal expression to an algebraic expression: one-fifth of some number, n. 1/5(n) OR n/5. Answer (1 of 7): First, find what "twice the x" is. The product of 16 and twice a number n added to n squared. The final answer is 8 - a. 7 + 2x = 18. The variable ?x? 8m + 4. . Click to see full answer. Three-fourths of a number less than 6 is . 17) Ten more than the quotient of a number and 3 is 12. Problem 1: Translate into a mathematical expression: 5 less than one third of a number. Which expression represents one-half the sum of x and 10? An algebraic expression is a math expression containing any of the following three items: . One less than the product of four and a number is 11. This is why "2 less than a number" must be translated into x-2, not the other way around. . 8 + 2x. Nine decreased by a number. . For each variable, you simply replace it with it's corresponding value, as this next example illustrates. Thread View. x ÷ (4 + w) 15 minus the product of 9 and a number. Subtract the first number or 2 from the second number m. The algebraic expression is m - 2 Notice that the phrase " two subtracted from m " is the same as the phrase " two less than m " Be careful! the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x . The quotient of 10x 10 x and 3 3 Solution 1. Example 1: Use the tables above to translate the following English phrases into algebraic expressions. The first quantity that comes before the "less than" keywords which is " a number" is the subtrahend. Divide by one less than your original number. Sum of the squares of x and y. 2x- 7. (1) b) Twice a number, subtracted from five, is three more than seven times the number. y + 9 = 15. In other words, the three main components of algebraic expressions are numbers, variables, and arithmetic operations. It is analogous to creating. j: Next unread message ; k: Previous unread message ; j a: Jump to all threads ; j l: Jump to MailingList overview A) 5 more than a number. Consequently, what does less than twice mean? algebra. is expressed as: Translate Phrases into an Algebraic Statement - Example 2: Write an algebraic expression for this phrase. 4 - 3 x 3. In this chapter, we will only work with terms that are added together. 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 equation. In general, an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial. 15) One less than the product of four and a number is 11. Which should give you 2x + 4. Some examples of common phrases and corresponding expressions that involve two operations are: Phrase. It's stated that "a number more than 18 is equal to 25". 3 The number of students in a school's Spanish club is six less than twice the number of students in the art club. 3 x - 4 4. x 3 - 4 Answer Now In each case, write algebraic expression for the given verbal phrase. nine times a number 9x 2.) The number (x) in: "4 more than twice a number is 16" is what we are solving here. In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by . A number increased by 3 is 14. A number increased by nine is fifteen. Write the = sign. Juan is 6 . One less than five times a number. Answer by nerdybill (7384) ( Show Source ): You can put this solution on YOUR website! Let n be the number, so twice the number is 2n and one less than that is 2n - 1. It's obvious that the answer is 5-2=3. Triple a number increased by twelve. one less than twice a number. ~. Note that it's wrong to do 2-5=-3. Solution: a = the cost of an apple; 2a - 1. We literally have to follow the question and make an equation off of it. 3x − 2. Q. A number plus 15 exceeds twice that _____ number by 3. Translate this phrase into an algebraic expression. Five added to the product of nine and a number. algebraic expressions and equations, assign a variable to represent the unknown number. For each variable, you simply replace it with it's corresponding value, as this next example illustrates. Six more than three times a number. Look for the words of and and to find the numbers to subtract. Some of our favorite terms include: 7 7 x 7 x2y x6y11z2 Double or twice a number means 2x, and triple or thrice a number means 3x. Let "a" stand for the amount from Bin A. Five times k A 5k (my answer) B k + 5 C k divided by 5 D 5 - k Evaluate the expression when a = 6 a-24 A - 30 (My answer) B - 18 C 18 D 22 Evaluate the expression when s = 9 and t math Translate the phrase "nine more than two times a number" into an algebraic expression Algebra 1. Three less than twice a number. Quotient: "The quotient of 10 and a number . ; Based on the information given in the question, the expression will be: = 1 + 7n - 5. The answer above is correct, because twice 6 is 12, and 4 more than 12 is in fact 16. Click here to see ALL problems on Numbers Word Problems. Example 2: Translate "a number more than 18 is equal to 25" into an algebraic expression. The sum of 50 and a twice a number _____ equals 30 minus that number. Tags: Question 12 . 3 − 2x. example Translate each word phrase into an algebraic expression: 1. Let a. represent the number of students in the art club. "one less than twice the square of a number". 8m − 4. The sum of 50 and a twice a number _____ equals 30 minus that number. 2x - 3 B. Five less than six times a number divided by twice the number. Note that the value of n = 6. 14) Five less than . Now subtract your original number. Locate the "equals" word (s). the sum of sixteen and three times a number minus four Wait! Translate each of the following into an algebraic expression. Algebraic Expressions Worksheet #2.1. . 5 more than three times a number. 3x . Answer (1 of 133): Go through this step by step. 1 Translate the given phrase into an algebraic expression and simplify if possible: the difference of −10. Tags: Question 6 . Twelve is the product of a number and three. Add 11 ⇒ + 11. Search. Express each statement as an algebraic . Example 1: Write each sentence as an algebraic equation. 4-2n. and the product of p and q. 5 less than 10 10 - 5 A number decreased by 7 x - 7 Difference between x and 3 x - 3 Difference between 3 and x 3 - x Twice a number 2x Ten percent of x 0.10x Ten times x 10x Quotient of x and 3 x/3 Quotient of 3 and x 3/x Five is three more than a number 5 = x + 3 The product of 2 times a number is 10 2x = 10 One half a number is 10 x/2 = 10 . Seven more than twice a number is 18. Explanation: We need to rearrange the word problem a little. Which expression represents one-half the sum of x and 10? . Algebraic Expressions Calculator: Enter your algebraic expression into the box. x + 6. Of is the tricky word. answer choices . Three-fourths of a number less than 6 is . Division. 9 - 2x. The phrase a number means an arbitrary variable, let us call it x x The phrase twice means we multiply x by 2 2x The phrase less than means we subtract the constant 15 from the term 2x using the ( - ) operator 2x - 15 . "The total of" indicates that things are being added. The answer is x + y. In the table below, the letter . 19) The sum of 9 and the quotient of x and 7 is 11. . Translate "nine less than the total of a number and two" into an algebraic expression, and simplify. Let x the unknown number. Learn vocabulary, terms, and more with flashcards, games, and other study tools. 12 = 3x. Half of a number is twenty. 3w - 5. Translate the following words into algebraic equations. When you are asking for less than something, that indicates subtraction! Twelve is the product of a number and three. 5. Terms are the separate values in an expression. [Example 1] one more than twice a number [Solution] 2x+1 or 1+2x 10) If seven times a number is reduced by nine, the result is ten 7x . . can be replaced by any number. 330 times. 17) Ten more than the quotient of a number and 3 is 12. algebraic expressions and equations, assign a variable to represent the unknown number. Translate each word phrase into an algebraic expression: the difference of 20 20 and 4 4. the quotient of 10x 10 x and 3 3. Two times the product of a and b divided by 5. . 3. 13) Seven more than the quotient of a number and 2 is 10. An algebraic expression is a number, . . 3x + 5. 3 less than twice a number 30. The key word is difference, which tells us the operation is subtraction. . Solution: Let us assign k as the variable that represents the unknown number in the sentence. An algebraic expression may consist of one or more terms added or subtracted. twice a number, s. 2s OR s2. Let us now translate the given phrases above to mathematical expressions. 3n + 6. 16) Six less than six times a number is 12. then. 4. The given phrase states that a result can be obtained by adding 10 more to the variable. Equals ( = ) equals Seven less than a number equals ten. See tutors like this. Don't scroll further until you're ready to see the answer key. Express each statement as an algebraic equation. Twice x is 2x. One less than two times a number. 100. In other words, you are looking for a number (x) that if you multiply it by two (same as twice) and then add 4, you get 16. Polynomial Expression. 3. Solvers Solvers. . The symbols 17 + x = 68 form an algebraic equation. y - 8 . Product: "The product of a number and 3" means " x 3", also written "3 x " (since multiplication is commutative, the order in which you write the numbers doesn't matter) Of: "Half of 20" means " 12 20". Answer Key: 1.) twice a number decreased by eleven 2y - 11 4.) Translate each verbal phrase into an algebraic expression or equation. Let a number be x. Some basic mathematical operators are +, -, x and /. . 13) Seven more than the quotient of a number and 2 is 10. The difference of 20 20 and 4 4 2. 2 Solve: b+4/5=-5. A number increased by 3 is 14. $16:(5 Two less than m is not the same as m less than two. twenty less than a number m - 20 a) seven less than twice a number (1) b) a number decreased by six, times another number (1) 7. Algebraic Expressions and Key Words for Multiplication The key words for multiplication are: times, product, twice, doubled, multiplied, and of. 6. 18) Seven more than twice a number is 1. Eight increased by twice a number. 20) The product of 8 and the difference of n and Translate each verbal phrase into an algebraic expression or equation. 5x + 6. a) seven less than twice a number (1) b) a number decreased by six, times another number (1) 7. 2 − 3x. . Solution. Sentence. 3 less than twice a number *'less than' = - *'twice' = 2 times *'a . In the table below, the letter . Sometimes, there are more than one variable involved, you just extend this basic idea to how ever many variable you have. Translate the words to the left of the equals word into an algebraic expression. While the quantity that comes after it becomes the minuend. 13) Seven more than the quotient of a number and 2 is 10. Twice the sum of m and n. b decreased by twice a. Lessons Lessons. a) One fifth of a number, decreased by 17, is 41. Two more than three times a number x C A. Translate the sentence into an algebraic equation: The sum of 6 6 and 9 9 is 15 15. "Less than" means subtraction, whereas "more than" means addition. translate into algebraic expression 24 more than twice Greg's age . Five less than twice a number is simply subtracting 5 away from 2x 2x-5. 10 times a number, decreased by 2 In 31-34, use the given variable(s) to write an algebraic expression for each verbal phrase. 4 times a number decreased by 6 _____ is equal to 6 times that number. algebra. 5n - 1. How to write algebraic expressions when one quantity is more or less than another? The value of the algebraic expression when n is given as 6 will be 38.. An algebraic expression is when we use numbers and words in solving a particular mathematical question. 1) Twelve more than five times a number. 5. Expression. 5 - 2x. 12 more than the quotient of a number 12 + n 5 = -10. and 5 is negative 10. 4 times a number decreased by 6 _____ is equal to 6 times that number. Two less than the product of 3 and x E 3. __2n - 5 = 7____ 8. Six more than a number. Start studying Algebraic Expressions. Sum of x and twice y. Subtraction of z from y. Seven less than a number. . the differenceof20 and 4 20minus4 20 − 4 the difference of 20 a n d 4 20 . Translate each phrase into an algebraic expression. SURVEY . An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change. An algebraic expression: The number that exceeds a by b is a b. . answer choices . The word is tells us the equal sign goes between 9 and 15. Product of p and q added to 7. x more than two-third of y. 19) The sum of 9 and the quotient of x and 7 is 11. One more . 1. This is mostly used when you are multiplying a fraction times a number. Practice Problems: Translate each phrase into an algebraic expression. 14) Five less than . For example 1/2 of a number means 1/2 times a number. 4n. 120 seconds . . Translate the following into an algebraic . Three times the difference of x and two B 4. 8 − 4m. 17) Ten more than the quotient of a number and 3 is 12. Translate the phrase into an algebraic expression. mitgliedd1 and 5 more users found this answer helpful. Question 341040: one less than twice the square of a number. 4 times the sum of a number and 7. Translate each word phrase into an algebraic expression: (a) 19more than j (b) 21less than 2x arrow_forward translate the English phrase into an algebraic expression using n to represent the unknown number. 2n-4. Two less than m. Key word : less than Less than indicates subtraction. Algebraic Equation. Combine the two terms: 2x + 11 is your answer. A binomial expression is an algebraic expression which is having two terms, which are unlike. Algebra: Polynomials, rational expressions and equations Section. Saying "twice a number" means that you are multiplying that number by 2. Preview this quiz on Quizizz. "Nine more than a number is \(18\)" Solution: More than mean plus, a number \(=x\) Then: \(9 \ + \ x=18\) Translate Phrases into an Algebraic Statement - Example 3: Write an algebraic expression for this phrase. A mathematical expression is a combination of constant, variables and algebraic operations. So you would add 4 to it. There are twice as many boys as there are girls It can also be written as x+9 since addition is comm Write an expression for the number of pennies. 300. . An algebraic expression is a math expression containing any of the following three items: . Translate the following words into algebraic equations. Example: One dollar less than twice the cost of an apple. Three less than twice a number. One less than twice a number is seventeen. 3 less than twice a number *'less than' = - *'twice' = 2 times *'a . Sometimes, there are more than one variable involved, you just extend this basic idea to how ever many variable you have. 5.0 (784) Top Algebra Tutor. __4n . 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