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's do another one! Sum of x and twice y. Subtraction of z from y. Because we don't want to miss a solution! Thread by: math_celebrity , Feb 12, 2022 , 0 replies, in forum: Calculator Requests. 2 - 9n. 2 minus the quantity 3 more than p 2. half a number plus two. 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! Key words : more than, twice, and difference. The algebraic expression is 2n + 15. 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? Know The Invisible (Understood) Ones. What is the correct translation of : 3 times the quantity m minus 7 A. Add your answer and earn points. How to write algebraic expressions? 4.Six times a number is fifty-four. Rita's score is 13 more than 4 times Milan's score. He works x hours each . 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. (the little 2 means the number appears twice in multiplying, so 4×4=16) Square Root. What is an algebraic expression that represents the eight times the sum of y and twenty-eight. If this is part of a. Explanation: a number and 3: if the number is denoted n, then 'a number and 3'# -> 'aνmber +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 The sum (use plus symbol) of twice a number and 3 can be written as 2x+3. If a quantity, such as the charge on an electron, may have either of two opposite senses, then one may choose to . Half of 100 is 50. 5h 2g 23 3. if two is subtracted from a number and this difference is tripled, the result is six more than the number. 2n + 5. the product of a number and 6. 6 more than the quotient of 2 and a . ? . Five minus twice the . 1.) Of is the tricky word. 8. Let the unknown number = x. ! How it is read. 15. 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. xy = 7(x + y) 10x + y = 7x + 7y. 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. x . 2 minus the quantity 3 more than p 13. The sum of a number and 8 8.8 more than a third of a number 1 1. 2 minus the quantity 3 more than p 13. 4.) 3 (w x ) 32 Translate each sentence into a formula. 5.Two ninths of a number is eleven. 8.) Akgdvnchbffb is waiting for your help. Express the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. Nine less than the total of a number and 2. five more than twice a number. Five more than twice the difference of a number and thirteen. 5 divided by the sum of b plus 2. x, plus . 8 minus some number : 8 - t : the difference between a number and 12 : w - 12 . 1. 6) Eleven times the difference of a number and three is equal 5( x - 3) = 2x to twice the number. Five divided by the sum of a and b. x = 2x + (-3) Step 2: Find two verbal expressions for the same value. 15 15. . :) Advertisement New questions in Math find the parameter of a regular hexagon of side X CM very good morning himani 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 . 6 less than the product of 2 times a. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. 12. 2 minus the quantity 3 more than p 13. A number decreased by 8. Wait! SURVEY . The quotient of k decreased by 4 and 9. This list of commonly used mathematical symbols explains what each math symbol is, how it is used and provides a sample expression. About Sum (Summation) Calculator. Solution. A debt that is owed may be thought of as a negative asset. Quantities The word "quantity" indicates grouping (parentheses). the sum of a number and twelve. Half of 112 = Half of 100 + Half of 12. The quotient of k decreased by 4 and 9. 6x - 5 2x 9) The product of two numbers, if one number is one less than x(2x - 1) twice the other number. This is also true for adding parts, plural: Three fourths of 108. Either of the two above is a correct answer. A number plus 8 is greater than 11. 7. We can now express our translation in this form for a while: twice a number + 9. . 6n. Twice a number 8. 11. What it is. A square root goes the other direction: 3 squared is 9, so a square root of 9 is 3. . Choices A, B, and C are incorrect because substituting those values into the equation 3 x. plus . So he is three times smaller. Degrees Kelvin K equals 273 plus . ! Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. The sum of five times h and twice g is equal to 23. The sum of a number and 8 8.8 more than a third of a number 1 1. For exercises 1 and 2, translate each phrase into an algebraic expression. The quotient of k decreased by 4 and 9. 3xm-7 C. 3-m D. 3xm7 2. twice a number n 5. Locate the "equals" word (s). 9 times a number minus 2. answer choices . 8 more than s stripes 10. Nine less than the total of a number and 2. If we let x represent Mike's debt, write an algebraic expression for Ted's debt. Let Zane three times smaller. 5. 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. Twice a number 8. Tags: Question 30 . Addition sign. Now we have that one. For example 2 x + 5 is an expression but +) × is not. Half of the quantity 1 less than w 15. 6 more than the product of 8 30. the quotient of 40 and the 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 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. 3.An unknown quantity less fourteen. 2x - 1 = 17: Twelve is the product of a number and three. Dividing both sides of 4 x. equals 12 by 4 yields . So twice a number means 2x. 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 . APPLICATION: See list 0. five times the difference of a number and one. Given : Two digit number is 7 times the sum of its digits. For example 1/2 of a number means 1/2 times a number. Incorrect. x - 7 = -3: One less than twice a number is seventeen. 7.Twice a number less eight is equal to one more than three times the number. (r 10) r 4 4. This means that an unknown number has been added to 10. View Answer . 12 = 3x: Half of a number is twenty. Write the = sign. Difference of : Again, any number after 'of' comes first in the . The Sum (Summation) Calculator is used to calculate the total summation of any set of numbers. 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. of the number of sides n and 2. The number that the variable is being multiplied by is called the coefficient - like the 2 above. 6 less than the quotient of z divided by 3 8. twice a number k plus the quantity s minus 2 9. Two more than of t equals t. 10. twice the sum of a number and 3 is equal to three times the difference of the number and 6. find the number. A reciprocal of a number is a second number such that when the two numbers are multiplied the answer is 1. In mathematics, a negative number represents an opposite. One-third of a number increased by 4. ½x = 20: A number is equal to the sum of twice the number and negative three. for problem number 22. 900 seconds . Eight minus two, the answer is six. We have two numbers with some off, uh, 15. Which equation represents the sentence, "The difference of 9 and x is 5"? ! 2.) Translate the words to the right of the equals word into an algebraic expression. The two adjacent (side-by-side) minus signs cancel each other out. 7. How it is used. This is mostly used when you are multiplying a fraction times a number. Therefore, half of 112 is 56. The product of a number and 3 decreased by 5 Sum of the squares of x and y. Nine less than the total of a number and 2. 5.) 9=5-x C. 9-x=5 D. x-9=5 4. minus 5, equals, 7 plus 2 x. Five divided by the sum of a and b. 13. Three plus the sum of the squares of w and x is 32. 3 x + 1 = 3 × 2 + 1 = 7 and 5(x 2 + 3 x) = 5(2 2 + 3 × 2) = 30. 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. Q. Example 1: Translate into mathematical expressions. The difference (use minus symbol) of triple a number and 5 should be written as 3y - 5. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. 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. The number is x: 2(x+3) = 3(x-6) 2x + 6 = 3x -18 Translate the words to the left of the equals word into an algebraic expression. Twice the sum of m and n. b decreased by twice a. S 5 180(n 2 2) Translate each equation into a verbal sentence. That's not quite right. seven divided by twice a number . Example: 4 less than the quantity of 6 times the sum of a number and 5 Translation: _____ You try…translate 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 . Think of "of" meaning to multiply when you are . $16:(5 Remembering that "more than" means "plus that much", I'll be adding 30 to the w. The expression they're looking for is: Twice a number 10. 6.) 5 / (b + 2) Daniel gets a paycheck every 4 weeks. 112 = 100 + 12. In the problem above, x is a variable. ! The product of a number and 3 decreased by 5 14. (Think about ittwice the number 8 would be 2 8 = 16.) 6 less than twice k 10. S. The product of a number and 3 decreased by 5 Alright. 12. 9. 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 Half of the quantity 1 less than w 14. So let's say we had four is equal to negative two plus blank. the quotient of five and a number. 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 quotient of 14 and 7 5. 9 - 2n. 6 more than the twice a number. 3x - 6y = 0. x - 2y = 0 -----(1) Given : The number formed by . Examples: 1. Express the length of the field in terms of its width w. Whatever the width w is, the length is 30 more than this. ENGLISH: 1. as defined above. 3. 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 . 1. 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. 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 . So triple a number means 3y. The quotient of k decreased by 4 and 9. Nine less than the . The quotient of 14 and 7 5. It's saying that two plus three is the same thing as five. Key words : more than and twice. Twice the number k = 2k according to the problem given, 2k + k -2 = 3k - 2 I hope this helps you. 11. Section 1.2 Writing Expressions 13 Write the phrase as an expression. The length of a football field is 30 yards more than its width. One fourth the sum of r and ten is identical to r minus 4. equals . Step 1: Assign a variable to the unknown quantity. 15. The final answer is k+10 k + 10. Fifty-three plus four times c is as much as 21. So, we have. Example #9. 5 less than the product of 3 and a number : 3w - 5 : twice the difference between a number and 9 : 2(z - 9) . 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. 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. Six plus one, the answer is seven. 53 4c 21 2. Solution : Let "xy" be the required two digit number. +. Logical OR symbol. Attaching a minus sign to 0 doesn't change its value, so -0 = 0. 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 ½ Half of, one-half of, half as much as, one-half times 1 2 Example 2: Translate "a number decreased by eight equals twelve" into an equation and solve. . 2 14 2 2 = n * divide both sides of the equation by 2 n = 7 . 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 product of negative two times a certain number a and the quantity a plus nine. e the expression Ex 1 4 less than the quantity 6 . 9(y 2 1 x) 5 18 9 times the sum 11. ! ! Twice = two times. 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. The number is seven. 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! the quantity 2 minus 66n, divided by 2 (2 - 66 n) / 2. the sum of 6 b and 9, squared . Three plus the product of a number and thirteen 7. Ted's debt is 15 less than half of Mike's debt. 4. 3. the quantity of x minus three times x plus . 79 more than s. s + 79. g cubed. Thus substituting x = 2 gives. 2n - 9. EX. 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 . Solution: The keywords "increased by" imply addition. Five divided by the sum of a and b. 8 more than a third of a number 9. The quotient of k decreased by 4 and 9. 10x + y = 7x + 7y. 8 more than a third of a number 9. 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. The necklace contained a small quantity of gold. Solution: Let x represent the amount of money Jeanne needs. Find the given number. Five divided by the sum of a and b. In each case, write algebraic expression for the given verbal phrase. The product of x and 4 decreased by 2 5. 2n = 14 . 1. four times the quantity of x minus two. 9 = - 5 B. $16:(5 The sum of five times a number and 7 equals 18. Translate : Two times a number plus 9 A. Symbol. So one less then so smaller. The word is tells us the equal sign goes between 9 and 15. Example 2: The difference of triple a number and 5 Answer: Let variable y be the unknown number. 7. 11. half a number x plus 4. answer . 2n+9 C. 29+n D. 9n+23. We just became five less negative is one way to think about it. SomaniJr SomaniJr 2k+s-2 is same as twice a no k plus the quantity s minus2 . 15 more than twice a number. The product of a number and 3 decreased by 5 14. Two -fifths times the quantity C plus four . twenty less than a number. Step-by-step explanation: twice means 2 and k is just a number but as a letter. A number minus 3 is at least -5. Twice a number 10. Write a problem based . minus 6, is equal to two times the number, plus 8. It is clearly stated that there are two quantities that will be added-the quantity twice a number and 9. "The quotient of a number k and 2" is written— , NOT — ! x equals 3. What is the quantity x minus 3 divided by y written as a mathematical expression? Six more than seven times a number is . A number . Thread. 2+5n B. -5 plus the quantity of 4 times x Now take the product of -8 and that expression and then add 6. 2. the quantity of x minus three times the quantity of x plus four. Five less than one-half of a number. Why is this "plus or minus" important? Example: Solve x 2 − 9 = 0 Start with: x 2 − 9 = 0. 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? 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. 12 fewer than h hats 6. Answer: Question 22. 12. 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. 9n - 2. Then evaluate when x = 5 and y = 20. Let n be the number. twice a number decreased by eleven. Thus "twice a number x" can be written symbolically as 2x. We could do this the same way we've been doing others. Any number not joined to a variable is called a constant - like the 4 above. 7. Half of 12 is 6. 6.Three more than seven times a number is nine more than five times the number. A number plus two is eight. 7.) Absolute value is the number's distance from 0 on the number line — that is, it's the positive value . ! "The quotient of a number k and 2" is written— , NOT — ! 12. 13. k, NOT k 2. Translate the words to the right of the equals word into an algebraic expression. Sample expression. answer. nine times a number. $16:(5 The difference between the square of a number and 9 is 27. (7 # 2) , s 14. Half of the quantity 1 less than w 14. 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. Algebraic Expressions and Key Words for Multiplication. Write an expression or equation as needed. Math. 8 more than a third of a number 9. 4 times the sum of x and 1 2 7. 3 ( m - 7 ) B. 11 more than half a number is the same as: half a number and 11 more. 7. Nine less than the . 6, 12, 8, 9, 6, 15, 7, 8, 10, 3, 8 The word is tells us the equal sign goes between 9 and 15. 15 15. . 6 less than twice k 10. Twice = two times. 2.Eight minus a number. It's called that because its value doesn't change, even if the value of the variable changes. 6. 100 + (8 . Which algebraic expression best represents the following verbal expression? Four is equal to negative two plus blank. Twice a number 2x Ten percent of x 0.10x . Write the = sign. 3.) 7) The product of a number and four increased by the number. 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. The key words for multiplication are: times, product, twice, doubled, multiplied, and of. 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 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. e the expression Ex 1 4 less than the quantity 6 . 80.6 - 3p-q 13. the sum of sixteen and three times a number minus four. 27. 5 times the quantity m divided by 2 In 11-14, tell how many terms each expression has. One lysine means minus one. In contrast to negation, placing two bars around a number gives you the absolute value of that number. Five divided by the sum of a and b. Let's get our number line out here. Half of the quantity 1 less than w 15. g^3. ! x + 2 = 8: The difference between a number and seven is negative three. Half of the quantity 1 less than w 14. The product of a number and 3 decreased by 5 Two times the product of a and b divided by 5. And you didn't have to write it this way. n − 7. (a) The sum of 6 and twice a number Solution: The phrase "twice a number" translates into two times the number, or 2 x. Let's get our number line out here and let's see. Now we need to combine like terms three n and n. The reciprocal of 7 is . 6 less than twice k 10. Locate the "equals" word (s). 2. 15. Translate the words to the left of the equals word into an algebraic expression. 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 . 2. A term is a group of numbers and variables. Find the number. One or more terms added Solution. 4c + 71 2 12. 2 minus the quantity 3 more than p 2. The number formed by reversing the digits is 18 less than the given number. Twice a number 8. 4x + x 8) Five less than six times a number divided by twice the number. Product of p and q added to 7. x more than two-third of y. A. If we let s represent Milan's score, write an algebraic expression for Rita's score.
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