1 / 8

Math 015 Section 6.4 Translating Equations

Math 015 Section 6.4 Translating Equations. Translating Sentences into Equations. An equation states that two mathematical expressions are equal. To translate a sentence into an equation requires recognition of the words or phrases that mean “equals”.

lelia
Télécharger la présentation

Math 015 Section 6.4 Translating Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math 015 Section 6.4 Translating Equations

  2. Translating Sentences into Equations An equation states that two mathematical expressions are equal To translate a sentence into an equation requires recognition of the words or phrases that mean “equals” equals is is equal to amounts to represents = Once the sentence is translated into an equation, the equation can be solved by rewriting into a form using variables and constants. Example: Sentence: five less than a number is thirteen Equation: = thirteen five less than a number n – 5 = 13 n = 18

  3. Assigning variable expressions Problem: Eight less than three times a number equals five times the number. Find the number. 8 less than 3 times a number = 5 times the number Let: x = the number Assigning variables to the things involved in the problem should be shown as part of your work. 3x – 8 5x = -8 = 2x -4 = x Answer: The number is -4

  4. Problem: Translate “four more than five times a number is six less than three times the number” into an equation and then solve the equation. 4 more than 5 times a number = 6 less than 3 times the number Let: x = the number 5x + 4 3x – 6 = 5x = 3x – 10 2x = -10 x = -5 Answer: The number is -5

  5. Problem: Six hundred thousand of the first-year students at U.S. colleges are taking at least one remedial class in reading, writing, or mathematics. This is three-tenths of the total number of first-year students. How many first year students are in U.S. colleges. is 600,000 3/10 of the first year students Let: x = the number of 1st year students. 10 3 10 = x 600,000 6,000,000 = 3x 2,000,000 = x Answer: There are 2,000,000 first-year students at U.S. Colleges

  6. Problem: A wallpaper hanger charges $50 plus $28 per roll of wallpaper used in a room. If the total charge for hanging wallpaper in a room is $218, how many rolls of wallpaper were used in that room? + Price = $50 $28 times the # of rolls Let: x = # of rolls of wallpaper uses 218 = 50 + 28x 168 = 28x 6 = x Answer: 6 rolls of wallpaper were used for theroom.

  7. Problem: A board that is 20 ft long is cut into two pieces. Five times the length of the shorter piece is 2 ft more than twice the length of the longer piece. Find the length of each piece. x (20 – x) 20 ft Let: x = short piece 20 – x = long piece 5 times the short piece 2 times the long piece + two = 5x = 2(20 – x) + 2 5x = 40 – 2x + 2 Answer: Shorter piece = 6 ft Longer piece = 14 ft 5x = -2x + 42 7x = 42 x = 6

  8. Problem: The sum of two numbers is 9. Eight times the smaller numbers is five less than three times the larger number. Find the two numbers. = 5 less than 3 times the larger # 8 times the small # Let: x = the smaller number 9 – x = the larger number 8x = 3(9 – x) – 5 8x = 27 – 3x – 5 8x = -3x + 22 11x = 22 x = 2 Answer: The smaller number is 2 The larger number is 7

More Related