1. 3x - 6y = 0. x - 2y = 0 -----(1) Given : The number formed by . 2. the quantity of x minus three times the quantity of x plus four. 4.) 8. Twice a number 8. twice the sum of a number and 3 is equal to three times the difference of the number and 6. find the number. 6 more than the product of 8 30. the quotient of 40 and the 6 less than the quotient of z divided by 3 8. twice a number k plus the quantity s minus 2 9. Rita's score is 13 more than 4 times Milan's score. A number plus 8 is greater than 11. The quotient of k decreased by 4 and 9. ! (Think about ittwice the number 8 would be 2 8 = 16.) SURVEY . 15 more than twice a number. Twice a number 2x Ten percent of x 0.10x . Translate the words to the left of the equals word into an algebraic expression. Three plus the product of a number and thirteen 7. x + 2 = 8: The difference between a number and seven is negative three. 2.Eight minus a number. A term is a group of numbers and variables. The product of negative two times a certain number a and the quantity a plus nine. 8. q 2 (4 1 p) 5 q q minus the sum 9. t 1 2 5 t of 4 and p equals times q. 5h 2g 23 3. So triple a number means 3y. 4c + 71 2 12. A. Half of 100 is 50. 8 more than a third of a number 9. This is Can you now write 5 more than the product of a number and 3, which is the same as the product of a number and 3 and 5 more? Five less than one-half of a number. What the equal sign is saying is that what's on the left side is the same amount, the same quantity, as what is on the right-hand side. A number n plus 7 The difference of a number n and 6 A number y minus 5 12 times a number y of a number x The quotient of a number k and 2 -Pup order "The difference of a number n and 6" is written n 6, NOT 6 n! 15 15. . This means that an unknown number has been added to 10. 2. Thus substituting x = 2 gives. Nine less than the . ENGLISH: 1. as defined above. Example #9. 12. ! Twice a number 8. 9=5-x C. 9-x=5 D. x-9=5 4. The quotient of k decreased by 4 and 9. The key words for multiplication are: times, product, twice, doubled, multiplied, and of. Two more than of t equals t. 10. 2.) 12 fewer than h hats 6. The final answer is k+10 k + 10. In each case, write algebraic expression for the given verbal phrase. In contrast to negation, placing two bars around a number gives you the absolute value of that number. Which algebraic expression best represents the following verbal expression? Sample expression. We can now express our translation in this form for a while: twice a number + 9. . nine times a number. Nine less than the total of a number and 2. Six plus one, the answer is seven. What it is. The Sum (Summation) Calculator is used to calculate the total summation of any set of numbers. What is the number we have to solve for N. So on the left hand side of the equation, we need to apply the distributive property three times and minus three times to is equal to end plus six. Locate the "equals" word (s). We could do this the same way we've been doing others. 0 is less than or equal to a number 5 plus a number is at least 9 3 minus a number is at most 2: 4 = x 3 + x = 9 7 - x = 0 0 x 0 x 5 + x 9 The product of a number and 3 decreased by 5 ! So, we have. 5 times the quantity m divided by 2 In 11-14, tell how many terms each expression has. Nine less than the total of a number and 2. 4 times the sum of x and 1 2 7. 2 14 2 2 = n * divide both sides of the equation by 2 n = 7 . We just became five less negative is one way to think about it. seven divided by twice a number . It's the same as saying it in these alternative ways: * "A is twice as many/much as B." (In your question details already) "Twice as many/much . half a number plus two. Let Zane three times smaller. 4x + x 8) Five less than six times a number divided by twice the number. Algebraic Expressions and Key Words for Multiplication. If a quantity, such as the charge on an electron, may have either of two opposite senses, then one may choose to . Let n be the number. Thus "twice a number x" can be written symbolically as 2x. 53 4c 21 2. Think of "of" meaning to multiply when you are . Example 1: Translate into mathematical expressions. Thread by: math_celebrity , Feb 12, 2022 , 0 replies, in forum: Calculator Requests. half a number x plus 4. answer . Write an expression or equation as needed. Example 2: The difference of triple a number and 5 Answer: Let variable y be the unknown number. He works x hours each . Which equation represents the sentence, "The difference of 9 and x is 5"? 3 (w x ) 32 Translate each sentence into a formula. 6 less than twice k 10. The product of a number and 3 decreased by 5 Express the length of the field in terms of its width w. Whatever the width w is, the length is 30 more than this. 2n = 14 . The number that the variable is being multiplied by is called the coefficient - like the 2 above. Twice a number 10. In the problem above, x is a variable. Twice the sum of a number and 5: 2(n + 5) The quotient of 7 and a number increased by 10: 7/(n+10) the product of a number and 5: 5n: Two-fifths of a number (2/5)n: Seven increased by 10 times a number: 7 + 10n: Five decreased by twice a number: 5 - 2n: Seven divided by 10 times a number: 7/(10n) Mrs. Bergeron. A number plus two is eight. 195) the product of k and 6 is equal to 48 196) the difference of x and 9 is 36 197) k increased by 9 is 23 198) x decreased by 12 is equal to 11 199) x minus 3 is equal to 50 200) x times 10 is 38 201) 12 more than x is 8 202) the product of w and 10 is 23 203) q increased by 8 is 38 204) d divided by 5 is equal to 10 2 minus the quantity 3 more than p 13. 7. Two times the product of a and b divided by 5. Any number not joined to a variable is called a constant - like the 4 above. 2 minus the quantity 3 more than p 2. the sum of a number and twelve. APPLICATION: See list 0. Translate Algebraic Expressions Practice Now that you understand some key elements of translating words into algebraic expressions, you are ready to practice on your own. Examples of algebraic expressions are: 3 x + 1 and 5(x 2 + 3 x) As discussed later in this module the multiplication sign is omitted between letters and between a number and a letter. 12 = 3x: Half of a number is twenty. Section 1.2 Writing Expressions 13 Write the phrase as an expression. Five minus twice the . The sum of five times h and twice g is equal to 23. Step 1: Assign a variable to the unknown quantity. In the real number system, a negative number is a number that is less than zero.Negative numbers are often used to represent the magnitude of a loss or deficiency. 5. 11. Incorrect. Twice a number 10. Five divided by the sum of a and b. The algebraic expression is 2n + 15. Example 2: Translate "a number decreased by eight equals twelve" into an equation and solve. "The quotient of a number k and 2" is written , NOT ! 7) The product of a number and four increased by the number. ? Five divided by the sum of a and b. Wait! What is an algebraic expression that represents the eight times the sum of y and twenty-eight. twice a number n 5. 2n+9 C. 29+n D. 9n+23. This is also true for adding parts, plural: Three fourths of 108. 6 less than the product of 2 times a. Using the letter k as the variable, we can translate the statement above as 10 + k. Since addition is commutative, we can rewrite it as k + 10. Tags: Question 30 . Addition ( + ) plus A number plus three x + 3 more than Ten more than a number x + 10 the sum of The sum of a number and five x + 5 the total of The total of six and some number 6 + x increased by A number increased by two x + 2 added to Eleven added to a number x + 11 Subtraction ( ) minus A number minus seven X - 7 8 more than a third of a number 9. How to write algebraic expressions? The quotient of k decreased by 4 and 9. 9. If this is part of a. The quotient of k decreased by 4 and 9. Let's get our number line out here. Because we don't want to miss a solution! 9 = - 5 B. 2 minus the quantity 3 more than p 13. 12. 12. 3. the quantity of x minus three times x plus . of the number of sides n and 2. e the expression Ex 1 4 less than the quantity 6 . Sum of x and twice y. Subtraction of z from y. Then the following equation can represent this problem: 17 + x = 68 We can subtract 17 from both sides of the equation to find the value of x. x = 2x + (-3) 11. In mathematics, a negative number represents an opposite. Five divided by the sum of a and b. ! sum of the cube of x and half of y The cube of x means we raise x to the 3rd power: x^3 half of y means we divide y by 2: y/2 sum of the cube. Akgdvnchbffb is waiting for your help. Examples: 1. The two adjacent (side-by-side) minus signs cancel each other out. Either of the two above is a correct answer. Addition sign. 7. minus 6, is equal to two times the number, plus 8. Six more than seven times a number is . 5 / (b + 2) Daniel gets a paycheck every 4 weeks. 13. The product of a number and 3 decreased by 5 14. e the expression Ex 1 4 less than the quantity 6 . We see then that to find a part of a sum -- of 100 + 12 -- we may find that part of each term of the sum, and then add. Let the unknown number = x. x . xy = 7(x + y) 10x + y = 7x + 7y. Twice = two times. 5.Two ninths of a number is eleven. . Sum of the squares of x and y. 3. 15 15. . x = 20: A number is equal to the sum of twice the number and negative three. So let's say we had four is equal to negative two plus blank. A number . The necklace contained a small quantity of gold. View Answer . 6.Three more than seven times a number is nine more than five times the number. 5.) Explanation: a number and 3: if the number is denoted n, then 'a number and 3'# -> 'amber +3' -> 'n + 3' to have twice this whole quantity (instead of, for instance, only n being doubled: put 'n +3' in brackets -> (n + 3) then to double it, put a 2 before the whole expression (n+3) -> 2(n + 3) the final expression: 2(n +3) Answer link Product of p and q added to 7. x more than two-third of y. Half of the quantity 1 less than w 14. Step 2: Find two verbal expressions for the same value. the product of 2 and a number: 2x: 6 added to a number: 6+x: twice a number plus 5: 2x+5: 4 less than a number: x-4: 3 less than 2 times a number: 2x-3: 2 times the sum of x and 6: 2(x+6) the quotient of 6 and a number: 6/x: the product of 5 and a number: 5a: 6 more than twice a number: 2x+6: two less than a number: x-2: the sum of 9 and a . The product of a number and 3 decreased by 5 What is the quantity x minus 3 divided by y written as a mathematical expression? 3xm-7 C. 3-m D. 3xm7 2. 1.) The sum of a number and 8 8.8 more than a third of a number 1 1. ! Nine less than the total of a number and 2. Why is this "plus or minus" important? 5 divided by the sum of b plus 2. 8 more than a third of a number 9. How it is used. 6 more than the quotient of 2 and a . Difference of : Again, any number after 'of' comes first in the . 3.An unknown quantity less fourteen. How it is read. Absolute value is the number's distance from 0 on the number line that is, it's the positive value . So twice a number means 2x. 4.Six times a number is fifty-four. Write a problem based . 5 less than the product of 3 and a number : 3w - 5 : twice the difference between a number and 9 : 2(z - 9) . (the little 2 means the number appears twice in multiplying, so 44=16) Square Root. One or more terms added The quotient of 14 and 7 5. The product of a number and 3 decreased by 5 14. Half of the quantity 1 less than w 15. five times the difference of a number and one. 7. Solution. 12. 3 ( m - 7 ) B. Math. We have two numbers with some off, uh, 15. Add your answer and earn points. 6. Symbol. 2. if two is subtracted from a number and this difference is tripled, the result is six more than the number. Find an answer to your question Twice a number k plus the quantity s minus 2 Akgdvnchbffb Akgdvnchbffb 16.08.2017 Math Primary School answered Twice a number k plus the quantity s minus 2 . That's not quite right. S. 6 less than twice k 10. Five divided by the sum of a and b. ! the quotient of five and a number. +. the difference of three and twice a number plus one 3 - (2p+1) So, whenever you are performing algebraic translations, you can use parenthesis to separate independnt groupings. The number is x: 2(x+3) = 3(x-6) 2x + 6 = 3x -18 Dividing both sides of 4 x. equals 12 by 4 yields . the product of two and a number: 2x or 2(x) multiply: a third of the sum of a number and two (x + 2)/3: start with the sum, take a third of it: double the difference between 6 and a number: 2(6-x) start with the difference, multiply by 2: triple the sum of four, five, and a number: 3(4 + 5 + x) start with the sum, multiply by 3: the value of 4 . Ted's debt is 15 less than half of Mike's debt. It's saying that two plus three is the same thing as five. :) Advertisement New questions in Math find the parameter of a regular hexagon of side X CM very good morning himani It's called that because its value doesn't change, even if the value of the variable changes. Three plus the sum of the squares of w and x is 32. 900 seconds . five more than twice a number. 2 minus the quantity 3 more than p 2. 2(m 2 n) 5 v 1 7 Twice the quantity of y squared and x is 18. m minus n is v plus 7. SomaniJr SomaniJr 2k+s-2 is same as twice a no k plus the quantity s minus2 . $16:(5 The sum of five times a number and 7 equals 18. Write the = sign. Four is equal to negative two plus blank. 8 minus some number : 8 - t : the difference between a number and 12 : w - 12 . 3 less than the quotient of a 28. the sum of a number x and 4, number y and 4 all divided by 3 29. 80.6 - 3p-q 13. For example 1/2 of a number means 1/2 times a number. If we let x represent Mike's debt, write an algebraic expression for Ted's debt. The word is tells us the equal sign goes between 9 and 15. 100 + (8 . 7. Example: 4 less than the quantity of 6 times the sum of a number and 5 Translation: _____ You trytranslate the verbal expressions to math: a) 8 more than a number b) The difference of 7 and a number c) The product of 10 and a number d) The quotient of twice a . k, NOT k 2. One-third of a number increased by 4. Thread. Half of 112 = Half of 100 + Half of 12. Twice = two times. $16:(5 the sum of sixteen and three times a number minus four. (r 10) r 4 4. 6x - 5 2x 9) The product of two numbers, if one number is one less than x(2x - 1) twice the other number. Remembering that "more than" means "plus that much", I'll be adding 30 to the w. The expression they're looking for is: Answer: Question 22. So let's assume that the smaller number is in so the larger number would be equal to the sum, which is 15 minus two smaller. . g^3. Fifty-three plus four times c is as much as 21. Step-by-step explanation: twice means 2 and k is just a number but as a letter. 2n - 9. Let's do another one! The sum of a number and 8 8.8 more than a third of a number 1 1. 15. ! About Sum (Summation) Calculator. The product of x and 4 decreased by 2 5. Solution. Q. Find the given number. 8 more than s stripes 10. Half of the quantity 1 less than w 14. Twice a number 8. equals . the quantity 2 minus 66n, divided by 2 (2 - 66 n) / 2. the sum of 6 b and 9, squared . 13. The length of a football field is 30 yards more than its width. the product of 12 and the sum of a number and negative 3 $16:(5 the difference between the product of 4 and a number and the square of the number $16:(5 4x x2 Write a verbal sentence to represent each equation. Adding 5 to both sides of 6 x. minus 5, equals, 7 plus 2 x. and subtracting 2 x. from both sides yields 4 x. equals 12. 6) Eleven times the difference of a number and three is equal 5( x - 3) = 2x to twice the number. 1. four times the quantity of x minus two. A number minus 3 is at least -5. A square root goes the other direction: 3 squared is 9, so a square root of 9 is 3. . A number decreased by 8. So he is three times smaller. 9n - 2. 9 - 2n. S 5 180(n 2 2) Translate each equation into a verbal sentence. twice a number decreased by eleven. 15. Attaching a minus sign to 0 doesn't change its value, so -0 = 0. A debt that is owed may be thought of as a negative asset. Alright. In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Answer: The given worded form is: A number minus 3 is at least -5 Let the number be x So, The representation of the given worded form in the form of inequality is: x - 3 -5 So, x - 3 + 5 -5 + 5 x + 2 0 x -2 x, plus . Find the number. the product of 2 and a number: 2x: 6 added to a number: 6+x: twice a number plus 5: 2x+5: 4 less than a number: x-4: 3 less than 2 times a number: 2x-3: 2 times the sum of x and 6: 2(x+6) the quotient of 6 and a number: 6/x: the product of 5 and a number: 5a: 6 more than twice a number: 2x+6: two less than a number: x-2: the sum of 9 and a . Let's get our number line out here and let's see. "The quotient of a number k and 2" is written , NOT ! Translate the words to the left of the equals word into an algebraic expression. Now we have that one. 27. $16:(5 The difference between the square of a number and 9 is 27. 8.) The quotient of 14 and 7 5. The product of 2 times a number is 10 2x = 10 One half a number is 10 x/2 = 10 Five times the sum of x and 2 5(x + 2) Seven is greater than x 7 > x Five times the difference of a number and 4 5(x - 4) Ten subtracted from 10 times a number is that number plus 5 10x - 10 = x + 5 The sum of 5x and 10 is . Know The Invisible (Understood) Ones. Then evaluate when x = 5 and y = 20. The difference (use minus symbol) of triple a number and 5 should be written as 3y - 5. (a) The sum of 6 and twice a number Solution: The phrase "twice a number" translates into two times the number, or 2 x. -5 plus the quantity of 4 times x Now take the product of -8 and that expression and then add 6. 10x + y = 7x + 7y. 12. For example 2 x + 5 is an expression but +) is not. A reciprocal of a number is a second number such that when the two numbers are multiplied the answer is 1. This list of commonly used mathematical symbols explains what each math symbol is, how it is used and provides a sample expression. 11 more than half a number is the same as: half a number and 11 more. 3.) 6 more than the twice a number. Given : Two digit number is 7 times the sum of its digits. 2n + 5. the product of a number and 6. The sum (use plus symbol) of twice a number and 3 can be written as 2x+3. 9 times a number minus 2. answer choices . Quantities The word "quantity" indicates grouping (parentheses). Solution: The keywords "increased by" imply addition. Express the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. Half of 12 is 6. 6 less than twice k 10. For exercises 1 and 2, translate each phrase into an algebraic expression. 1. 112 = 100 + 12. The quotient of k decreased by 4 and 9. 7. One fourth the sum of r and ten is identical to r minus 4. Eight minus two, the answer is six. n 7. 9(y 2 1 x) 5 18 9 times the sum 11. Locate the "equals" word (s). Five more than twice the difference of a number and thirteen. Nine less than the . 2 minus the quantity 3 more than p 13. If we let s represent Milan's score, write an algebraic expression for Rita's score. Five divided by the sum of a and b. 15. (7 # 2) , s 14. for problem number 22. 7.Twice a number less eight is equal to one more than three times the number. Translate the words to the right of the equals word into an algebraic expression. Two -fifths times the quantity C plus four . Half of the quantity 1 less than w 15. The cube of k k3 t raised to the fourth power t4 Equals Is equal to, the same as, is, are, the result of, will be, are, yields = x is equal to y x = y p is the same as q p = q Multiplication by 2 Two, two times, twice, twice as much as, double 2 Twice z 2z y doubled 2y Multiplication by Half of, one-half of, half as much as, one-half times 1 2 2x - 1 = 17: Twelve is the product of a number and three. Therefore, half of 112 is 56. 4. Translate : Two times a number plus 9 A. 7.) Key words : more than and twice. So one less then so smaller. 6, 12, 8, 9, 6, 15, 7, 8, 10, 3, 8 Of is the tricky word. 6n. Example: Solve x 2 9 = 0 Start with: x 2 9 = 0. It is clearly stated that there are two quantities that will be added-the quantity twice a number and 9. The word is tells us the equal sign goes between 9 and 15. The number is seven. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. Write the = sign. Solution: Let x represent the amount of money Jeanne needs. Logical OR symbol. Answer (1 of 21): In language usage (not mathematical meaning), "twice as many A as B" means A is two times more than B or as you put it, A = 2B. Translate the words to the right of the equals word into an algebraic expression. twenty less than a number. 3 x + 1 = 3 2 + 1 = 7 and 5(x 2 + 3 x) = 5(2 2 + 3 2) = 30. This is mostly used when you are multiplying a fraction times a number. x equals 3. minus 5, equals, 7 plus 2 x. EX. 11. plus the quantity s is just s as a number, then minus 2 is =2k+s-2 i got it wrong thanks to you Advertisement Advertisement New questions in Mathematics Which number is both a mode and a median in this set of numbers? 11. 6.) ! Choices A, B, and C are incorrect because substituting those values into the equation 3 x. plus . Half of the quantity 1 less than w 14. 79 more than s. s + 79. g cubed. 2 - 9n. And you didn't have to write it this way. Key words : more than, twice, and difference. What is the correct translation of : 3 times the quantity m minus 7 A. 1. the difference of a number and sixteen (1 point) A.n + 16 B.n - 16 C.16n D.n/16 2. five times k (1 point) A.5k B.k + 5 C.k 5 D.5 - k For . The number formed by reversing the digits is 18 less than the given number. Degrees Kelvin K equals 273 plus . Twice the number k = 2k according to the problem given, 2k + k -2 = 3k - 2 I hope this helps you. A number n plus 7 The difference of a number n and 6 A number y minus 5 12 times a number y of a number x The quotient of a number k and 2 -Pup order "The difference of a number n and 6" is written n 6, NOT 6 n! answer. One lysine means minus one. x - 7 = -3: One less than twice a number is seventeen. Now we need to combine like terms three n and n. Solution : Let "xy" be the required two digit number. 2+5n B. Twice the sum of m and n. b decreased by twice a.
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twice a number k plus the quantity s minus 2