Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!!

2. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

3. Samantha earns $4.50 an hour babysitting, and $3.50 an hour working in a garden shop. Last week, she babysat for 4 hours and worked in the shop for 6 hours. If Samantha uses all of these earnings, how much more money does she need to buy a CD-player that costs $50? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

4. In today's baseball game, Kim caught a ball on the foul line 30 feet beyond 1st base. When she caught that ball, how far was Kim from 3rd base? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

5. For 3 days, José was paid $60 per day as a temporary construction worker. Then he was taken on as a permanent employee and was paid $65 per day for the next 5 days. Then all the construction workers on the site got a raise, which was the same amount per day for each worker. At the end of his first 20 days, José had earned $1321. Write and solve an equation to find the amount of the raise that each worker had received. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

6. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

7. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

8. Sally and Jen were both driving along the same New York highway to a golf match in Garrison and they met when they stopped for gas along the way. Sally had left her home at 5:30 a.m., driving at an average speed of 55 miles per hour. Jen, who lives at least 60 miles closer to the golf course in Garrison, left her home at 6:30 a.m. and drove at an average speed of 50 miles per hour. Write and solve an inequality to find the earliest time that the two women could have met. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

9. In a certain three digit number, the hundreds digit is the sum of the other two digits. If the units and tens digits of this number are interchanged, the new number is 9 more than the original number. If the hundreds and tens digits of the original number are interchanged, the new number is 360 less than the original number. Find the original number. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

10. A man drives 30 miles from the South Side to O’Hare Airport. He then travels 800 miles by plane to New York. The plane travels 360 miles per hour faster than the car and the plane trip takes an hour and fifteen minutes longer than the car trip. Find the average speed of the car. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

11. At 6 p.m. on Friday, Laura drove her car from her home in San Diego on her way to visit her parents in Sacramento, stopping to visit friends in Monterey. Staying overnight in Monterey and stopping on the road took Laura a total of 15 hours and 30 minutes. She arrived at her parents' home in Sacramento at 7:30 p.m. on Saturday. Laura averaged 55 miles per hour when driving and her car gets an average of 20 miles per gallon of gas. At the time of her trip, Laura paid $4.05 per gallon for gas. Write and evaluate a numerical expression to find Laura's gas cost for this trip. Answer to the nearest dollar. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

12. Matt is going to a basketball game out of town. If he could travel 75 mph, he would arrive 1 hour early for the game. If he travels 45mph, he will arrive 1 hour late. How far is his trip to the basketball game? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

13. A ball is dropped from a height of 80 ft. The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for how high the ball rebounds on the nth bounce. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

14. In still water, Helen can row at an average rate of 3.5 miles per hour. Today she took her rowboat out on the Hudson River. It took her 2 hours to row upstream, against the river's current, to meet her friend at their boat club and only 1.5 hours to return downstream. Write and solve an equation to find the rate at which the current of the river was flowing. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

15. Nikki is starting a business to sell home-baked bread. She paid $80 to buy a bread-making machine and the ingredients for each loaf will cost her $0.75. She will charge her customers $3.25 a loaf for her breads. Using function notation, write a rule to describe Nikki's profit. How many loaves of bread must Nikki sell before she realizes any profit? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

16. Don, Frank, and Mark each drew a square. The side of Frank's square is 3 inches longer than twice that of Don's, and the side of Mark's square is 1 inch less than twice that of Don's. The area of Frank's square exceeds the area of Mark's square by 24 square inches. Write and solve an equation to find the area of each boy's square. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

17. Santa was supposed to build a display of cans of cranberry sauce. The manager wanted them placed in a triangular shape Santa carried in one can and noticed that some cans contained “jellied” sauce and that some cans contained “whole berry” sauce. He figured out that he could build two displays, one of each type of sauce, but the bottom rows of one triangle would contain one more can than the bottom row of the other display. The manager told him to mix up the types of cranberry sauce and make just one display; strangely enough, there were just enough cans to make one large triangular display. How many cans were in the cases of cranberry sauce?

18. Santa is on his way to the North Lumber Company to buy some more supplies to finish the square pen he is building to hold his famous reindeer. He has already completed three sides of the pen and has spent exactly $250. The fence posts that he used cost $10 each. How much will he have to spend to finish the pen? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

19. Several years ago, Santa planted a 7-foot Christmas tree in his front yard. The tree has gown 3 feet each year, and last year it was four times the original height. How tall is the tree now, and how long ago did Santa plant it? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

20. Two alarms are rung at regular intervals, one every 4 minutes and the other every 6 minutes. After the alarms have rung together, how many minutes will it take for them to ring together again? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

21. Nikki is starting a business to sell home-baked bread. She paid $80 to buy a bread-making machine and the ingredients for each loaf will cost her $0.75. She will charge her customers $3.25 a loaf for her breads. Using function notation, write a rule to describe Nikki's profit. How many loaves of bread must Nikki sell before she realizes any profit? (P & Y) Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

22. Tamara has two sisters. One of the sisters is 7 years older than Tamara. The other sister is 3 years younger than Tamara. The product of Tamara's sisters' ages is 24. How old is Tamara? (Hint: let x = Tamara’s age, and use the sentence in the problem to write an equation to solve.) Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

23. A photography club is planning to hold a New Year's Eve gala at a community center. The rental fee for the facility is $250. Additional charges are $35 per person for dinner and $5 per person for miscellaneous expenses. Write and solve an inequality to determine the number of people that must attend so that the cost per person does not exceed $50. (P & Y) Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

24. Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation where t is the number of seconds it takes the car to travel down to each point on the ride. How many seconds will it take Greg to reach the ground? (Hints: What are you trying to find? What does d = on the ground?) Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

25. Twenty people have knitted squares to be sewn together for a quilt that will be donated to an agency providing supplies to hurricane victims. Ten people used only purple yarn, six used only green yarn, and five used only pink yarn. Only three people used all three colors. How many people used two colors? (P & Y) Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

26. 2-10-14 Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

27. 2-10-14 Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

28. On a cloudy day when Jake could not see his shadow, he used a mirror to find the height of a flagpole. He placed a mirror on the ground between himself and the pole and positioned himself so that he could see the top of the pole in the mirror. Because of the way light was reflected off the mirror, congruent angles were formed. So, the mirror method set up a pair of similar triangles. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

31. Ms. Jones and Ms. Smith are running for the same political office. As of January 1, Ms. Jones has raised $30,000 in contributions with a promise, by the end of February, of $2000-donations from a number of individual supporters. As of January 1, Ms. Smith has raised $25,000 in contributions with a promise, by the end of February, of $2500-donations from a number of individual supporters. Write a system of linear equations to model the situation. Graph the system to determine the number of promised supporters that would result in equal campaign funds by the end of February for the two candidates. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

36. Working with a landscape plan, the designer has inscribed an isosceles right triangle in a semicircle. The triangular region will be planted with flowers and the shaded region will be planted with grass. In the actual garden, the radius of the semicircle is 13.5 ft. Find the area of the actual shaded region to the nearest square foot. Explain your method. Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

37. A landscape designer is planning a seating arrangement on a circular patio. He wants three long benches to form a triangle that is inscribed in a semicircle. On his diagram, the designer has marked off an arc of measure 76°. What are the measures of each of the three interior angles of the triangle? Explanation: (They wanted to know…) (I knew…) (So I…) (I found…) Use appropriate mathematical terminology!!! ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________