Discrete Math Review, Chapter 1Name Key
Part 1 – No calculators allowed
For questions 1 and 2, determine which reasoning model is shown.
1. The policy for a college psychology course states that if a student turns in at least 80% of their homework, their lowest test score will be dropped. Derek turned in 90% of his homework in the course, so his lowest test grade will be dropped.
reasoning model:____deductive reasoning__
2. A forensics team examined the fingerprints of 500 people and found that no two fingerprints were the same. They then concluded that no two people’s fingerprints are the same.
reasoning model:___inductive reasoning___
For questions 3 – 5, determine the pattern used to get the next term. Then state the next number or computation.
3. 0, 5, 10, 15, _20_ : pattern__add 5 to the previous term_
4. __: pattern_multiply previous term by ½___
5.3367 x 3 = 10,101pattern:_second number in product is first number multiplied by 3, _
3367 x 6 = 20,202_result is 10,101 added to previous term_
3367 x 9 = 30,303
3367 x 12 = 40,404
_3367 x 15 – 50,505_
6. Round 3,279,734 to the nearest thousand. _3,280,000_
7. Round 706.384682478 to the nearest ten thousandth. _706.3847__
For questions 8 – 11, determine each estimate. Different rounding results in different estimates, so there is not one single correct answer to each question. Then explain your method of rounding.
8. For a spring break vacation, Janet needs to spend $86.00 for gas, $311.00 for food, and $405.00 for a hotel room. If she takes $681.79 from savings, estimate how much more money she needs for the vacation.
one method: 100 + 300 + 400 = $800, $800 - $700 = $100; She will need $100 more dollars, rounding everything to the nearest hundred dollars.
______
9. The cost for opening a restaurant is $485,000. If 19 people decide to share equally in the business, estimate the amount each must contribute.
one method: $500,000 / 20 = $25,000
10. Find an estimate of 0.48992 x 121.976.
0.5 x 120 = 60.
11. Page 24 – 25 of your text, #51, 52
Pg 24, #51: 1,400,000 --- F = 122 + 1.4 --- 171,000,000
Pg 24, #52: 1,500,000 --- M = 116 + 1.5 --- 168,500,000
Part 2 – You may use your calculator for this section.
For question 12, use Polya’s four-step method in problem solving to solve each problem.
12. In a basketball game, the Bulldogs scored 34 two-point field goals, 5 three-point field goals and 13 foul shots, each counting 1 point. The Panthers scored 38 two -point field goals, 1 three -point field goal, and 18 fouls shots. Which team won the game and by how much?
a. Understand the problem: __figure out score of Bulldogs-Panthers game. Add up all the points, then compare. _
b. Devise a plan: to get scores, multiply number of 2-point baskets by 2, 3-point baskets by 3, and free throws are one point. Add scores, see who scored more, then subtract to see by how much.
c. Carry out the plan and solve the problem:
Bulldogs: 34 x 2 + 5 x 3 + 13 = 96Panthers: 38 x 2 + 1 x 3 + 18 = 97
winner: Panthers margin of victory: 1 point
d. Look back and check the answer: Plan seems sound. Double-checked calculations, they are good.