*>@*C$Hl Dh Unit 1 /Learning Problem Solving Techniques Unit Test*L $Hl Dh   (L$Hl Dh ) Situations  (2 pt. each) (L$Hl Dh  You have a medium-size pizza. You need to cut it into equal shares. To do this, you are told that any cut you make must go all the way across the pizza. *L$Hl Dh n 1. Following these directions, you can cut the pizza into which of the following fractional parts? *L $Hl Dh   a.  1 / 2,  1 / 3,  1 / 4,  1 / 8,  1 / 12  s   b.  1 / 2,  1 / 4,  1 / 8,  1 / 16  [   c.  1 / 2,  1 / 3,  1 / 4  \   d.  1 / 2,  1 / 5,  1 / 10  *L$Hl Dh  2. Al complained that with these directions there was no way to cut the pizza into thirds. Two of Al's friends, Toni and sue, agreed and explained why this way: &Lp $H Dh d  Toni - "If you cut all the way across, you will always have an even number of slices."  Y  Sue - "If you make one cut, there are two pieces. Two cuts give 4 pieces."  2  Which is the correct explanation?  /  a. Toni is right and Sue is wrong  $  b. They are both right  %  c. Neither one is right  /  d. Sue is right and Toni is wrong  (L$Hl Dh  Nurse Emily Smith has large container of salt-water solution worth $6.00. One liter of the solution weighs about 1000 grams (2.2 lb). The solution is 4% salt. Emily has more than enough solution to fill 12 one-liter bottles. *L$Hl Dh ' 3. Which of these is given? *L $Hl Dh <  a. The grams of salt in each liter of solution  >  b. The weight in pounds of one liter of solution  N  c. The amount of solution left over after filling the 12 bottles  >  d. The amount of solution in the large container  *L$Hl Dh D 4. Which of these can be calculated from the data given? *L $Hl Dh <  a. The grams of salt in each liter of solution  :  b. The amount of salt in the large container  N  c. The amount of solution left over after filling the 12 bottles  2  d. The cost of one liter of solution *L$Hl Dh  Tony and Charlie, working together on Friday, collected a total of $30.00 to help underprivileged children. Before Friday, they had collected $132.00.  *L$Hl Dh S 5. Based on this situation, which question shown below can be answered? *L$Hl Dh .  A. How much did Charlie collect?  +  B. How much did Tony collect?  6  C. How much did they collect altogether?  A  D. What was the largest contribution they received? *L $Hl Dh (L$Hl Dh  Frank is a farmer. He needs to fertilize a 10-acre field with 40 pounds of nitrogen per acre. The fertilizer he will use comes in 50-pound bags and is 20% nitrogen. ( 1/5 of each bag is nitrogen ) The cost is $7 per bag. How many bags should he buy? &L??l Dh @ PLAN: To solve the problem, Frank decides to find the total pounds of nitrogen needed for the 10-acre field. He then will find the pounds of nitrogen in each bag of fertilizer. Finally, Frank will divide the total nitrogen needed by the pounds of nitrogen per bag to find the total number of bags he needs ,L6$6Hl Dh h 6. Which of the following is  not   a step Frank should use to solve the problem? ,LU$HUl Dh q  a. Multiply 50 pounds of fertilizer per bag by 20% to get the number of pounds of nitrogen per bag.    b. Multiply 10 acres by 40 pounds of nitrogen per acre to find the total amount of fertilizer needed for the 10-acre field. *LU$HUl Dh   c. Divide the total pounds of nitrogen needed for the 10-acre field by the number of pounds of nitrogen per bag to get the number of bags needed. ,LU$HUl Dh f  d. Multiply $7.00 per bag by the total number of bags to get the cost of the fertilizer. ,L6$6Hl Dh ; 7. How many pounds of nitrogen does Frank need?    a. 400    b. 500    c. 100    d. 200  5 8. What is the answer to Franks problem?    a. $280.00    b. 40 bags    c. 50 bags    d. $350.00  S 9. How many pounds of nitrogen are contained in each bag of fertilizer? *L((Hl Dh   a. 8    b. 10     c. 2 (L$Hl Dh  Rod had to spend money for several items to produce a corn crop. Of the amount he spent, 20% was for fertilizer and chemicals, 10% for seed, 20% for cultivation, 15% for harvesting, and 18% for labor. The 100 acres of corn produced 17,500 bushels. *L$Hl Dh ( 10. Which of these is given? *L$Hl Dh   a. profit    b. cost    c. yield  "  d. value of the crop  1 11. Which of these can be calculated? *L $Hl Dh   a. profit    b. cost    c. yield per acre  "  d. value of the crop  *L$Hl Dh (L$Hl Dh  A farmer needs to fence a pasture. Its four sides measure 935 feet, 723 feet, 605 feet and 985 feet. The wire he uses comes in 50-foot rolls. The cost of the wire is $20 per roll. How much will the wire for the fence cost? ( Draw A Picture !) (L $Hl Dh / (4) 12. Given/Questions Asked: (L $Hl Dh   Plan:  "  Calculations:  f  Answer/Check:   (L$Hl Dh ` For Each Of The Following Problems Show All Problem Solving Steps  (4 pt. each) *L $Hl Dh  13. Anita has 48 rabbits to sell for Easter. She has priced them at $4.95 each. How much money will she get if she sells all but 8 of them?        14. A dieter wants to lose 15 pounds. Eating 2600 calories a day caused no weight gain or weight loss for the dieter. If the diet allows 1800 calories per day, how many days are needed to reach the goal? Remember that 1 pound of body fat = 3500 calories.   15. Amy is laying tile on a floor. The floor is a square 10 feet on each side. The area of 1 tile is 1 square foot and costs $0.50 each. What is the cost of the tile needed to cover the floor?  (the area of a square is length x width)    *L$Hl Dh  Answer Each *L $Hl Dh 7 16. Name the four steps to problem solving. *L $Hl Dh { 17. True or false: each person in our class always come up with the same plan for solving a particular problem?  Z 18. What are two things you might do to help yourself understand the problem?   19. List four ways to organize information so that your plan is easily implemented?  Example:  draw a picture  7 20. What is one way to check your results? (L$Hl Dh