Mathematics Review Today: Solving Equations Word Problems part 1

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Solving Equations The thing to remember about solving equations, is using Pemdas in reverse. Identify the variable you are looking for, you want that completely by itself on 1 side of the equal sign. Move all multiples of the variable to 1 side (it doesn’t matter which) We do that by performing the same operation on both side, by subtracting one of multiples of variables from both side. If 5x=2x+3, then 5x-2x=2x-2x+3, 3x=3 Once all the variables are on 1 side, you need to isolate them, get them ONLY with other variables, no adding/subtracting. To get rid of whatever adding/subtracting there is you must subtract the number that is being applied to the variable. 3x+5 there is a +5 as the number being applied to the variable side, 4x-3 there is a -3 being applied to the variable side. Once the variable is completely isolated, you want to divide by the coefficient of the variable, 5x the 5 is the coefficient, ½x the ½ is the coefficient. Remember, dividing by fractions means multiplying by inverse. Check your answer!

Equations

Practice X=4 X=1 X=-3

Word Problems. YAY! If Joe has twice as many apples as Chisa has, and together they have 36 apples, how many apples does each have?

If Kelly and Rohit go apple picking If Kelly and Rohit go apple picking. It is 65 degrees outside, and the orchard they go to has 1415 trees. Today only 414 of the trees are available to go picking. Kelly and Rohit decide to have a little competition, and see who can pick the most apples, so they go off in different directions. In 4 hours of picking, Kelly worked on 54 trees, while Rohit only was able to work 34 trees. The two of them together picked 36 apples, but because of picking bad containers, they each are carrying 3 containers of apples. If after 30 seconds of counting, Kelly won having picked twice as many apples as Rohit picked, how many apples did each one of them pick? How is this question different than the previous question; If Joe has twice as many apples as Chisa has, and together they have 36 apples, how many apples does each have?

Solving word problems What is the question asking? Sometimes the question is very simple, even if there is a lot of information. What information do you need to answer the question? Sometimes the information you need is directly given, other times you may need to figure out the information you need to answer the question. Figure out which formula you need (if you need a formula) or figure out the equation you need to use to solve the question. Pick the unknown you can identify and label. Sometimes there are multiple variables, other times they can all be described from another one of the variables. If there are 2 variables, and one is twice the other, than there is actually only 1 variable x, the other is 2x. Plug the numbers you know into the formula needed, or solve the equation for the unknown Check to see if the answer is reasonable. If possible, check your answer for correctness.

The Crushing load for a square pillar is given by the formula; where L is crushing load in tons; T is the thickness of the wood in inches; and H is the height of the post in feet. Given that, what is the crushing load for; a 4-inch thick post 8 feet high? And for a 6-inch thick post 10 feet high?

Practice Tovin and Earl go bowling, and Earl scored 45 points more than half of what Earl got. If together their combined score was 270, who won? The Phillies have played a total of 19 games. If they have lost 1 game more than half the number of games they won, what is their record?

Phlexglobal Math Quiz

Write an equation, and solve it for the following problem; Michael and Jane are ordering packages of material. If Jane orders 6 more than half as many as Michael orders, how many do each order if a total of 33 packages have been ordered?

Write an equation, and solve it for the following problem; Sarah and Isiah are each prepping files of documents.  If the total number of files prepped is 95, and if Sarah has prepped 35 more than a third of what Isiah has prepped, how many files has each person prepped?

We need to QC an average (mean) of 40 boxes per day over a two week period (10 working days).  In the first nine days, we QC’d the following number of boxes: 35, 42, 50, 19, 21, 39, 46, 47 and 49.  How many boxes do we need to QC on the 10th working day in order to achieve the average of 40 boxes per day.

If we know that our profit from the equation; Profit=(x-8) If we know that our profit from the equation; Profit=(x-8)*400+900, with x being the number of items we have sold, how many items do we need to sell if we want a profit of $16900?

There are 211 documents in a file – 40 of these are 1572’s, 74 of these are Investigator CV’s, 45 of these are Ethics approvals and 52 are CRFs.  An auditor wants to examine a sample of 75 of the documents in the file, but the 75 documents have to be spread across each document type in the same proportion as the overall file contents.  Therefore, how many Investigator CV’s does the auditor examine? 

A project consists of scanning the contents of 226 boxes A project consists of scanning the contents of 226 boxes.  Eight scanners (A – H) are used for this work.  Each scanner completed the following number of boxes: If the project is budgeted $200,000, how much does scanner D make, proportionally?

Phlexglobal charges $1. 50 per page processed Phlexglobal charges $1.50 per page processed. There are 5 steps involved in processing a page: Goods Receiving – takes an average of 5 seconds per page Prepping – takes an average of 40 seconds per page Scanning – takes an average of 20 seconds per page Quality Checks – takes an average of 15 seconds per page Filing – takes an average of 10 seconds per page The revenue per page is allocated across these 5 steps based on time taken. How much of the revenue should be allocated to the prepping process? How many pages should be scanned by a team member in order for that team member to achieve a target daily rate of $250

A new project is estimated to take 30 people 20 full days to finish A new project is estimated to take 30 people 20 full days to finish. Unfortunately when the project starts only 25 people were available. How many days should it take the 25 people to finish the same project?

If a large client is given a discount of 15% off their order, and the cost AFTER discount comes to $12750, what was the original cost of the order, if the client did not have the discount?

If each binder has an average of 387 pages, and each box has an average of 14 binder, and each carton has 6 boxes, and each pallet has an average of 16 cartons on it, how many pages should one expect to have in 7 pallets?