Jeopardy

1. Jeopardy

2. 100 Find the opposite of the matrix: 4 -6 0.75 ½ -9 3

3. 200 Determine whether the set is closed under each of the four basic operations, addition, subtraction, multiplication, and division. If not, give an example. {x x is a negative rational number}

4. 300 Show that matrix A and its opposite are additive inverses. A = -5 6 0.2

5. 5[(4 + 9) – 32] ÷ 2 400 At a large TV appliance store you can purchase a TV in 2 sizes: large or small. Each TV has either a black and white or a color screen. The owner of the store has checked her stock and found out that she has: 23 large TVs, 6 small black and white TVs, 19 color TVs, and 21 black and white TVs. Use a venn diagram or another graphic organizer to answer: How many large color TVs are there? How many small TVs are there? How many TVs are there in all?

6. 500 A survey was taken of students at the university concerning their enrollment in art courses. Each of 600 students were asked to answer yes or no to each of the following questions: Are you enrolled in a painting course? Are you enrolled in a drawing course? Are you enrolled in a clay course? So far the following data from the survey has been tabulated: 250 of the students are enrolled in a drawing course 100 are enrolled in both a painting and a clay 130 are enrolled in a drawing but not a painting 120 are enrolled only in a clay course 30 are enrolled in all three course areas 270 are enrolled in a clay course 300 are enrolled in only one of the three areas The dean of art is interested to know the answers to the questions: How many students are enrolled in none of these three areas? How many students are enrolled in at least one of the three areas? How many of the students are enrolled in at least two of the three areas? How many of the students are enrolled in a painting course?

7. 100 Identify the terms, like terms, coefficients, and constants. 5x + 6y – 18 – 9x + 4

8. 200 Find the product.

9. 300 Find the quotient.

10. 400 The table below shows the difference between the money in a store’s cash drawer and the daily receipts during a 5-day period. Find the average amount (in dollars per day) the drawer is off during the 5-day period. Day Mon Tues Wed Thurs Fri Difference (dollars) 4.50 –3.75 –0.80 2.10 –0.25

11. 500 Suppose the mean on two 100-point exams is 89. What would the score on the next 100-point exam have to be so that the mean score on all three exams is 90?

12. 100 Order the numbers in order from least to greatest. -⅔,-1.6,–0.67,-0.7

13. 200 Determine whether the number is rational or irrational. Explain. √63

14. 300 Which of these numbers are whole numbers, integers, and rational numbers at the same time? -2.1, ⅜, 0.3, 2

15. 400 Determine whether the number is rational or irrational. Explain. 64 √196

16. 500 Tell whether each number in the list is a real number, a rational number, an irrational number, an integer, or a whole number. Then order the numbers from least to greatest.

17. 100 Simplify the expression 10x – 3(2x + 8)

18. 200 Simplify the expression (6 – 5x)(–3) – 12x

19. 300 You are using solid colored fabric that costs $.06 per square and patterned fabric that costs $.10 per square to make a quilt. You need 660 squares to complete the quilt. Write an equation that gives the total cost c as a function of the number n of solid squares used. Then find the total cost if you use 200 solid colored squares.

20. 400 A local sports store is selling packs of 8 tennis balls for 25% off the regular price. You buy 3 packs of tennis balls. Write an equation that gives the total cost t as a function of the regular cost r of a pack of tennis balls. Then find the total cost if a pack of tennis balls regularly costs $20.

21. 500 • You have to copy a 500-page document. There are 2 copiers in the office: copier A makes 13 copies in 1 minute and copier B makes 18 copies in 1 minute. Let a be the number of pages you put in copier A. Round your answer to the nearest tenth. • Write an equation you can use to find out how long it will take to make the copy. • How long will it take you to make the copy if you put 200 pages in copier A? Round your answer to the nearest tenth. • Which will be faster, the faster copier, or using both copiers by putting 250 pages in each ?

22. 100 Find the negation of the statement. Then determine whether the statement and its negation are true or false. Some squares are rectangles.

23. 19 ÷ 200 Rewrite the given conditional statement in if-then form. Then determine if the statement is true or false. If false, provide a counter example. All of the rational numbers can be written as fractions.

24. 300 Find the negation of the statement. Then determine whether the statement and its negation are true or false. All odd numbers are prime.

25. 400 Rewrite the given conditional statement in if-then form. Then determine if the statement is true or false. If false, provide a counter example. None of the rational numbers has an opposite equal to itself.

26. 500 Find the negation of the statement. Then determine whether the statement and its negation are true or false. Some negative real numbers are irrational.