NOTE: There are different types of verba' problems, but they really all t into a few different categories. ThTs problem below is an example ofan exact translation. 3* Example: The difference between a numberand two, divided by three yields twice the number \\ess four.' > Solve each algebraically: 1] Find the number if twofths thhe number is fourrtths. 2] If three times the sum of the number and four is decreased by twice the number, the result is -6. Find the number. 3] Find the number ifthe sum of three times the number and ten is fuur less than the number. 2 4] Find the number if E is added to three times a number and the rault is E subtracted from twice the number. 5] Find the number ifthe quutient of three times a number and twelve is added ta 2 and a the result is ,_ 4 > Challenge Question: } For the next two problems set up the key, check the key with the video, then solve algebraically: 1) In a professional basketball game, the winning team won by seven points; the total points scored by the two teams was 201 points. How many points did each team score? 1 The owner of a small cafe found one daythat the number of orders fortea was; the number of orders for ocitfee. If the total number of orders for the two drinks was 76, how many orders were placed for coffee? (This is on exampie oftwo unknowns) KB\"! Kev Unknowns Team 1 Tearri 2 Unknowns Tea Coee _ Eipfeisinl Expresslons Answers Answers 2) Joelle is four years older than her husband The sum ofthe ages is 118: how old is each of them? Unknowns Joelle Husband Expressions Answers Procedure for verbal problems with two unknowns: 1. Make a key, use an expression with the same variable (x) for each unknown. 2. Make one of the unknowns [x], make (x) the unknown that you are not given direct information about. Write in words any other given information. Write an equation from the words. Solve the equation. Plug your answer into the key to get the answeris] you need. HP'PPE" Check the equation in the words of the problem. Text Predictions: On 3 Accessibility: investigate D: Focus } let's try this together: Solve Algebraically. > Solve Algebraically: JJ Hernandez is building a cabinet; the instructions require three pieoes of shelving. The Rosie, Joe and Maria were saying their money to throw their pa rents a 25'" anniversary longest piece must be twice the length of the middle-sized piece, and the shortest piece party; Rosie has $150 less than Joe. Maria has two times the sum of whatJoe and Rosie must be 10 inches less than the middle-sized piece. He has a piece ofshelving 70 inches have; they have saved a total of 53,426. How much money did each child save? long. How long Will each ofthe three pieces be if she cuts from this 70inch piece? Kev Kev Unknown 1 2 3 Unknown Short Piece Middle Piece Long Piece _ Expresslons Expressions Equation Short Piece+ Middle Piece +Long Piece = m Mme" Answers } Solve Algebraically: An 84foot log is cut into three pieoes so that the second piece is five times as long as the rst Procedure for verbal problems W'lth three \"WOMS: piece and the first piece is seven feet less than the third piece. Find the length of all three 1. Read the problem to understand its general meaning and to label the key. pieces. 2. Reread the problem and stop reading when it mentions two cfthe variables, make {x} m the variable you are not given direct information about of the first two variables Unkm 1\" piece 2nu piece 5"! piece mentioned. Ex . 3. Reread the sentence that talks about the first two variables and write an expression in "em\"; {1:} for the other variable. Answers 4. Read the problem to find out information about the third variable not mentioned yet. You may have to rewrite the statement so the sentence begins with the variable you don't have represented in your key. Write an expression in {x} forthe third variable. Write in words any other given information. Write an equation from the wo rds. Solve the equation. Plug your answer into the key to get the answerts] you need. 10. Check the equation in the words ofthe problem. PWHP'E"