x = number. 27 is a perfect cube. Solution: Example 15. 3x . 5n - 2. five more than two times a number is fifteen. If two-thirds of a number is diminished _____ by 8, the result is 32. a. _____ 3. Mathematics Instructional Plan - Grade 7 Virginia Department of Education ©2018 5 Mathematical Translations Matching five more than twice a number n + 5 n - 2 five less than two times a number is fifteen twice a number diminished by five five decreased by twice a number is fifteen five times the sum of n and two 2n + 5 5n = 20 two less than A number n cubed is written as n³ and n³ = n × n × n. If n is an integer then n³ is a perfect cube. Problem 38. When a number is doubled, the result is 24. Medium. 6 + 7 x = 3 4. A number of two digits exceeds four times the sum of its digits by 6 and it is increased by 9 on reversing the digits. If 6 times a number is decreased by 6, the result is the same as when 3 times the number is increased by 12. 7.) Click here to see ALL problems on Numbers Word Problems. Sum of the squares of x and y. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. Feedback. 2 - 6n b. "is less than" indicates the < relation. Let P= Perimeter Let Length=3W P=LW P=(3W) W P=3W 2 c. Write each expression/equation into verbal phrase/ sentence. Another way you can see a half diminished chord written is as a minor 7th chord with a flattened 5th - Cmin7 b5 or G#m7 (b5) for example. 14, 7, 0, -7, etc. 3 times a number 27. three-fourths of a number 28. 4.) 3x + 7 = 15: Seven . Dimmer stars are zero or positive numbers. 24. 1. a standard number cube is rolled 180 times. "Twice a number means "2 times a number". the quotient of five and a number. Twice the sum of m and n. b decreased by twice a. Solution. Column A _____ 1. the statement could also be read as: "7 less than, twice, a number and k". Classical Music Theory; Jazz Theory; Music Analysis . -Punit Kampani Rita's score is 13 more than 4 times Milan's score. First write 5% as the decimal .05. Quotient of 3 and x 13. Four times a certain number decreased by one _____ 3. 7 times the sum of a number and 4 _____ exceeds 3 times that number by 17. Thus "twice a number x" can be written symbolically as 2x. Numbers Divisible by 7. Solution: The phrase "twice a number" translates into two times the number, or 2 x. 3 less than twice a number 30. In each case, write algebraic expression for the given verbal phrase. 3x + 10. The change in the account consists of 8 times $20: Her account diminished by $160. (14 is what we already had in first half of solution.) equals . Find the number. 1. The number is seven. 14, 7, 0, -7, etc. 1. C. 1 0 2 2. Predict how many times a 3 or 5 will be the result. Medium. Let's suppose that the number (the end result) is n. Then applying initial part of the problem on it. The quotient of thrice a number and four is equivalent to six. 7.) Twelve diminished by a number is 7. "the sum of 3 and a number y " indicates addition: 3 + y. The product of a number and 11 is 99. The original problem asks us to find the number which in this case is. Question 27. . 4. the number is -8. What is the number . The total of 5 and c 5 + c 13. x = 11 3. APPLICATION: See list 50. A number increased by 13 4. . Let the unknown number = x. The half diminished part is notated by a circle with a line through it - "ø". A number added to 5 3. 6 + 10 = 16 16/2 = 8 Mode. 1. This may need to be repeated several times. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3 . asked Nov 17, 2020 in Quadratic Equations by Naaz (48.3k points) quadratic equations; class-8; 0 votes. Five less than seven times a number is 37. 9x - 8 = 11: Twelve more than four times a number is seven. One subtracted from four times a number _____ 4. Because the half diminished chord is a Seventh chord, it usually has a "7" written in the chord notation. Multiply the first number x by the second number 10. For example, 3 cubed is written as 3³ and 3³ = 3 × 3 × 3 = 27. 6 + 7x = 34 6+ 7x = 34 as our equation. Step 1: Assign a variable to the unknown quantity. Verified by Toppr. nine times a number. 1 + 2 + 4 = 7 (an ace of clubs, a 2 of spades and a 4 of clubs)-10 + 10 + 7 = 7 (a king of diamonds, a jack of spades and a 7 . Let's try to solve the rest of the question. 1 0 0 8. median is the average of the middle two numbers . What number is that, of which if 1/3, 1/4, and 2/7 be added together the sum will be 73? Classifying and naming music intervals: perfect, augmented, minor and diminished intervals. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. Wait! A number divided by 11 is 4. x/11 = 4: Seven more than three times a number is 19. A natural number, when increased by 1 2, equals 1 6 0 times its reciprocal. What are the numbers? 3 x 4 = 6 __ 5. How to write algebraic expressions? Answer (1 of 7): * Let the number be x. The second number is equal to the first number diminished by 4. 5(n + 2) 2n - 5. Solution: Question 15. 4x + 12 = 7: Seven more than triple a number is fifteen. Divide the first number n by the second number 5. enlarge. Example 1: Five times a number x is less than the sum of 3 and a number y . g 4 ± 3 = 6 . 2 more than 7 times a number _____ 8. ), then the number is divisible by seven. "Twice a number and k means add k. Use x as the number. 12 = 4x - 16: Example 3: Write each sentence as an algebraic equation. If the ten's digit is diminished by three times the unit's digit the remainder is 1. Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. Two times the product of a and b divided by 5. Solution: Example 14. Key words denoting addition: sum. If 13 Times A Number Is Subtracted From The Square Of The Number,the Result Is 30.Find The Number. Easy. Solution. Three times a number increased by ten is equal to twenty less than six times the number. Seven times the number n. 7 n. x divided by 4 . D. 1 0 3 2. Star Magnitudes. A number decreased by eight . Mathematical translate phrases into each verbal phrases. 4) The number of cents in d dimes is 120. 6.) the sum of a number and twelve. The third number is four times the first. 5 less than 10 5. 7. five times the sum of. Find the number. Thus the number is 28. 1.) 2 Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number 3 A natural number, when increased by 12, equals 160 times its reciprocal Find the number 4 A train, travelling at a uniform - Maths - Arithmetic Progressions . Four times the difference of eight and a number is the same as one-hundred twenty divided by twelve. (Think about ittwice the number 8 would be 2 8 = 16.) 4.) The difference between x and 7 x -7 10 less m 10 - m 10 less than m m - 10 p decreased by 11 p - 11 8 diminished by w 8 - w y take away z y - z p reduced by 6 p - 6 x exceeds y x - y r minus s r - s Multiplication Multiply, times, the product of, multiplied by, times as much, of × 7 times y 7y The product of x and y xy 5 multiplied by y 5y Find a natural number whose square diminished by 84, is equal to thrice of 8 more than the given number. How to use diminish in a sentence. In a table like the one shown in Diagram D, write any number in Rows 1 and 2. 2 half-steps = major second (M2) 3 half-steps = minor . "Three times a number increased by 10" is mathematically translated as. Brightness of stars is assigned a number starting with the brightest star starting at about -1 magnitude. 2(11+4x) 7. Three times a number divide by 5 Four more than two times a number 6 times the sum of a number and 9 Five times the sum of twice a number and 8 Equations: Two thirds of a number is 24. 7 less than 5 times a . This may need to be repeated several times. five more than twice a number. 3) Write an expression to represent how much a realtor will earn at a 6% commission on a house that costs x dollars. The quotient of n and 5. Sentence: Algebraic Equation: # 16 Three-fifths of a number is equal to fifty-four SPEEDY MATH: You Can Do It! Four-fifths of a number decreased by two is 18. 31. the number of baseball cards, if b cards are added to a . Which of the following expressions represents "the quotient of nine times a number and seven"? Example 6 Write an algebraic expression for: 5% of a given number. 5.) Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. 2 less than a number 26. value. the sum of a number and twelve. Twice a number, decreased by twenty-nine, is seven. 5n = 20. two less than a number. A number diminished by 4 is 7 - x-4=7. Five times a number minus two. Divide the number 49 into two such parts, that the greater increased by 6, shall be to the less diminished by 11, as 9 to 2. five decreased by twice a number is fifteen. and two. Twice the square of a number equals the sum of 5 times the number and 17. 2.) The phrase "a number diminished by 5" may be written algebraically as "x - 5". Find the number. Synonym Discussion of Diminish. Add the numbers in Rows 2 and 3, and put the answer in Row 4 . 5(x− h) 5 ( x - h) Box 2: Enter your answer as letters. Three times the sum of a number and 4: 3 (n+4) 8 less than one-half the number: (n/2)-8. we set the two statements equal to each other and solve for 'n': 3n+4= (n/2)-8. n=-8. Open in App. B. 7 x + 6 = 3 4. You need to imagine what would happen to a quantity, and write that Five times a number plus ten all over three is eleven. twice a number a divided by three = 2a / 3. five times a number x minus four = 5x - 4. thrice the sum of a number x and six = 3 (x + 6) Let the number be x. Numbers 0 through 10 cubed and the resulting perfect cubes . The sum of two times a number and 3 is 11-2x + 3 = 11. 7x + 6 = 34 7x +6 = 34 instead. 5 more than a number: 5 + x: twice a number, diminished by 5: 2x - 5: 1 less than 6 times a number: 6x - 1: the sum of 6 and a number: x + 6: the difference of 6 and a number: . 2. The algebraic expression is 10x. Quotient indicates division. 11. Step 2: Find two verbal expressions for the same value. 4 times a number, increased by 3 29. Example 1: Translate into mathematical expressions. The algebraic expression is equal to. . 1. Ten times x 11. 3.) Putting these phrases together gives. 7. Find the number. B. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3 . n; n - 4; 4n. seven divided by twice a number. Separate 84 into two parts such that one part will be 12 less than twice the other. Example 2: Translate "a number decreased by eight equals twelve" into an equation and solve. 0 cubed is 0³ = 0 × 0 × 0 = 0; 1 cubed is 1³ = 1 × 1 × 1 = 1; 2 cubed is 2³ = 2 × 2 . is the number(s) that occurs most frequently half a number plus two. n . 8. . Add the numbers in Rows 2 and 3, and put the answer in Row 4 . Each number corresponds to a letter which will reveal a quotation if answered correctly. Find the number. 31 times 60 times*** 57 times 30 times 2. The variable is z, the numerical coeffi cient is 2, and the constants are 4 and 10. equation • a mathematical statement with two expressions that have the same value • x + 2 = 3, y - 7 = -4, 3a - 2 = a + 2, and b = 4 are examples of equations a) Model the following phrase using cups and counters. Examples: A B C, linear, a cat. Solution: Example 16. B. If one-half of a certain number is added to one-third of the same number, the result is 10. 2t - 29 = 7: Thirty-two is twice a number increased by eight. 9n - 7 . A number diminished by 4 is 7 - x-4=7. When a two digit number is divided by the sum of its digits the quotient is 8. The product is also smaller than the negative number as it represents a times the number b: a = b = 1 a > 0, b < 0. . 23. However, for our discussion, we will use. Solution. g 4 ± 3 = 6 . A number decreased by 7 6. If we let x represent Mike's debt, write an algebraic expression for Ted's debt. 4 times a number, plus 9 . Five is three more than a number 15. 10 times a number increased by 6 is 112. seven times the product of two numbers and is. Subtract 2 x² to both sides. A number cube is rolled 360 times, and the results are recorded as follows: 61 ones, 26 . if there is an even number of items in the group, the . Twice the sum of eleven and four times a number. The larger the number means the dimmer the star is. Find the number. What is the number? 3 n + 3 n × 3 4 7 - 1 3 × 3 n + 3 n × 3 4 7 = 14. Putting it all together: 5 x < 3 + y. Key word : quotient. The sum of a number and three _____ 2. 3 x = 54 5. Thus "twice a number x" can be written symbolically as 2x. (7) Restriction: not more than 60 days. 2. Ted's debt is 15 less than half of Mike's debt. five times the difference of a number and one. 2.) 5) 4 multiplied by the sum of y and 7 is equal to 16 6) Twice of x diminished by 9 equals 5 times x 7) 3 divides the di!erence between h and 4 represents 5 8) Triple b less 4 equals 8 9) Half of k increased by 1 is equivalent to 7 10) Subtract 4 from thrice of c is 7 times c Translate each verbal phrase into an algebraic equation. Product of p and q added to 7. x more than two-third of y. "5 times a number x " indicates multiplication: 5 x . the sum of five and a . By commanding officers in grades O-3 and below or any commissioned officer in charge (Marine Corps and Navy Only) (1) Admonition or reprimand. Find the number Examples: Six diminished by 1/3 of a number is 12. 2 = n * divide both sides of the equation by 2 n = 7 . 2n + 5. 7n - 5 = 37: seven more than t: t + 7: eight less than p: p - 8: 4 times as many bees: 4b: Which three expressions could be used to represent the numbers? A letter may be used more than once. What is the number? To determine if a number is divisible by 7, take the last digit off the number, double it and subtract the doubled number from the remaining number. The number n diminished by 10 . Five more than the product of 2 and n. 2 n + 5 or 5 + 2 n. Seven less than the quotient of y and 4 . 5x + 4 = 35: Eight less than nine times a number is eleven. 1. # 17 A number times four is twice the number minus two SPEEDY MATH: You Can Do It! _____ 4. n - 10 . . four times a number minus fi ve . Open in App. 6.) Solution. 7*x * This implies 7*x-3*x=12 * 4*x=12 or x=3. The sum of a . _ 5 x + 10 3 = 11 6. 9. If a number is divided by 9, the result is 12. 2) The length of a rectangle is 3 feet less than 4 times its width. A star 0 magnitude is brighter than a star 1 magnitude. Examples: 1. When 30 times a number is increased by 32 ,the result is equal to twice the square of the number means: 30 x + 32 = 2 x². You can increase cell number by formula =number* (1+percent), or decrease by formula =number* (1-percent). 6. The sum of a number and three _____ 2. Seven less than a number is 15 n - 7 = 15 12. 2 + 2 + 6 + 10 +15 = 35 ÷ 5 = 7 5 Median is the middle number in a group of numbers listed in ascending or descending order 2, 2, ,10, 15 . 2(x +k) − 7. If the result is evenly divisible by 7 (e.g. Correct option is B) First find the smallest number divisible by 1 2, 1 6, 1 8, 2 1 and 2 8. . Solution. Please help me!!! 8. . See screenshot: Notes: 1). 7. 2n + 5. the product of a number and 6. 8.) Twice a number 9. This is a page from the dictionary MATH SPOKEN HERE!, published in 1995 by MATHEMATICAL CONCEPTS, inc., ISBN: 0-9623593-5-1. A certain number decreased by two _____ 5. Let P= Perimeter Let Length=3W P=LW P=(3W) W P=3W 2 c. Write each expression/equation into verbal phrase/ sentence. 2x +k −7. 8. they sound particularly good together, a fact that has been noticed since at least the times of classical Greece, and probably even longer. Difference between 3 and x 8. half a number plus two. The perimeter of a rectangle whose length is three times the width. 9n ÷ 7 b. What two numbers are as . the sum of sixteen and three times a number minus four. Find the number. the quotient of five and a number. Again, allowing x to represent the unknown number, we have 2x + 7. Wait! # 15 The quotient of a number and three becomes eleven SPEEDY MATH: You Can Do It! means subtract 7 from a number. Answer (1 of 14): -4+x times 3=30 - divide both sides by three: 4+x=10 -subtract both sides by 4: x=6 Hopefully that helps. twice a number x added to 10 = 2x + 10. a number n decreased by five = n - 5. a number and multiplied by 7 = 7y. plus. 3x + 7 = 19: Four more than five times a number is thirty-six. The meaning of DIMINISH is to make less or cause to appear less. Ten percent of x 10. Product indicates multiplication. A number increased by 13 x + 13 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 a. five times the difference of x x and h h. The difference of fourteen times x x and h h. Box 1: Enter your answer as letters. A2 and B2 are cells containing the . If twice a number is equal to 68, find the number. Therefore, we may also write the algebraic expression as. Example 1: Translate into mathematical expressions. 7. In a table like the one shown in Diagram D, write any number in Rows 1 and 2. Each number corresponds to a letter which will reveal a quotation if answered correctly. twice a number decreased by eleven. - 2 x² + 30 x + 32 = 0. Select a blank cell for placing the result, for increasing cell number by percentage, please enter formula =A2* (1+B2) into the Formula Bar, and then press the Enter key. 9 less than a number _____ 9. for each sequence find the first four terms and the tenth term 12-n 3.) Twelve is sixteen less than four times a number. 7. Numbers Divisible by 7. Solutions and explanations to Grade 8 questions on applications of linear equations . 2 increased by 5 times a number _____ 6. And the whole sum was 6 shillings more than 7 times the sum which the youngest received. four times a number minus fi ve . . let 'n' represent the number and we interpret "three times the sum of a number and 4" to mean that three is multiplying the sum itself. 1. We get x10, but we prefer to write 10x. If we let s represent Milan's score, write an algebraic expression for Rita's score. A letter may be used more than once. twenty less than a number. For example, a star -1 magnitude is brighter than a star 0 magnitude. 7x+6 7x +6 or the algebraic equation as. Verified by Toppr. Write each phrase as an algebraic expression or equation. You are hereby granted permission to make ONE printed copy . 5 more than 2 times a number _____ 2. 8.) Example #6. 7 less than m m - 7 14. If 3 times a number is increased by 22, the result is 14 less than 7 times the number. larger than. 10 times a number, decreased by 2 In 31-34, use the given variable(s) to write an algebraic expression for each verbal phrase. If three times a number decreased by 5 equals 82, find the number. (Think about ittwice the number 8 would be 2 8 = 16.) 1.) 7 divided by Ten divided by a number 10 x the ratio of The ratio of a number to fifteen x 15 Powers ( xn) the square of; squared The square of a number; a number squared x2 the cube of; cubed The cube of a number; a number cubed x3 Equals ( = ) equals Seven less than a number equals ten. a number increased by 4: x + 4: h take away 2: h − 2: 2 take away by a number: 2 − h: a number minus 11: k − 11: 11 minus a number: 11 − k: a number decreased by 7: y − 7: the difference of n and 25: n − 25: the difference of 25 and n: 25 − n: 5 less than a number: x − 5: x less than the number 5: 5 − x: the product of r and 4 . Translate the word phrases into algebraic expressions. ), then the number is divisible by seven. If the result is evenly divisible by 7 (e.g. Question 972553: The sum of twice the square of a number and 7 times the number equals 15. Advertisement Advertisement New questions in Mathematics. * Since 3 times of the number i.e. Feedback. View solution > One subtracted from four times a number _____ 4. Expression. _____ 5. Let's look at an example in which the expression consists of more than one number and/or operation. Twice a number, decreased by 7 _____ 7. ! The sum of two times a number and 3 is 11-2x + 3 = 11. 6n. 6n - 12 c. 12n - 6. c. 12n - 6. Which of the following expressions represents "three times the difference between t and y"? Column A _____ 1. 5.) Four times a certain number decreased by one _____ 3. Difference between x and 3 7. Solution: The phrase "twice a number" translates into two times the number, or 2 x. To determine if a number is divisible by 7, take the last digit off the number, double it and subtract the doubled number from the remaining number. A certain number decreased by two _____ 5. 5) 4 multiplied by the sum of y and 7 is equal to 16 6) Twice of x diminished by 9 equals 5 times x 7) 3 divides the di!erence between h and 4 represents 5 8) Triple b less 4 equals 8 9) Half of k increased by 1 is equivalent to 7 10) Subtract 4 from thrice of c is 7 times c Translate each verbal phrase into an algebraic equation. The product of 2 and n 2 multiplied by a number 2 times a number 2n The quotient of z and 3 A number divided by 3 The ratio of z and 3 Practice: Underline key words. (2) Confinement on bread and water / diminished rations: not more than 3 days and only on grades E-3 and below attached to or embarked in a vessel (USN and USMC only). Example 5 Write an algebraic expression for: Seven more than twice a certain number. The smallest number which when diminished by 7, is divisible 1 2, 1 6, 1 8, 2 1 and 2 8 is: A. . 7 x + 6. 2n - 5 =15. Divide both sides by - 2. x² - 15 x - 16 = 0. 4x - 12 = 2(x-5) 8. Now, on simplification, as we have: n 2 = 14. In words A number x is increased by 7 A number y is decreased by 7 A number a is multiplied by 7 A number k is divided by 7 Expression x + 7 y - 7 a × 7 k ÷ 7 Sometimes you might have to describe a real-life situation using a mathematical expression. Add those numbers, and put the total in Row 3. 25. the sum of sixteen and three times a number minus four. 2 diminished by 7 times a number _____ 5. Quotient of x and 3 12. Answer by MathLover1 (19384) ( Show Source ): You can put this solution on YOUR website! 32 = 2a + 8: The quotient of fifty and five more than a number is ten. The expression "twelve diminished by six times a number" is equivalent to say "Subtract six times a number from twelve" so. 1) Kim has 7 more than 5 times the amount Sylvia has. 2. 1 0 1 5. 2, 2, 6, 10, 15, 20. the product of two numbers and is. Example 2: Ten more than the quotient of a number x and 30 is equal to 15 . Sum of x and twice y. Subtraction of z from y. nine times a number. 3*x is subtracted from seven times the number i.e. x − 7 = 10 is Three times a number is negative six. 4x = 2x - 2.
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