Chapter 2 Practice Test, MA118



Chapter 1, 2 (Review Sheet), MA118, Spring 2011

1. List the 4 steps in Polya's Principles.

2. List the elements in the set [pic]

3. Write the following set in set-builder notation: [pic]

4. Let [pic].

a. Draw a Venn diagram representing these sets.

b. Complete each of the following statements: [pic]

5. Use a Venn diagram to shade the regions representing the given set.

a. [pic] b. [pic]

6. Given: A={red, green, yellow, black, orange} and B={red, yellow, orange, blue, white} what is [pic]?

7. [pic]

8. Of the 22 fast food businesses in a small city the number that have a drive-up window, outside seating or delivery service is summarized as follows: 7 have delivery service, 15 have outside seating, 13 have a drive-up window, 9 have a drive-up window and outside seating, 3 have outside seating and delivery service, 3 have delivery service and a drive-up window, and 2 have all 3 services. How many have only a drive-up window?

9. Identify the properties being used in each of the following. Some of the statements may use more than one property.

a. (8 + 8) + 1 = 8 + (8 + 1)

b. 6 + 0 = 6

c. 25 * 0 = 0

d. (2 * 3) * 4 = (2 * 4) * 3

e. 4(5 + x) = 20 + 4x

10. What benefits do children gain from an understanding of whole number properties? List at least two.

11. a. Illustrate 7 + 4 = 11 on a number line, then with a set model.

b. Illustrate 8 – 5 = 3 on a number line, then with a set model.

12. Illustrate 2 x 3 = 6 on a number line, with a set model, and with a tree diagram.

13. Be able to define the following terms: addend, sum, minuend, subtrahend, difference, factor, product, dividend, divisor, and quotient.

14. a. Explain how a subtraction take-away context differs from a subtraction comparison context. Give a word problem for each context.

b. Explain how the partitive (sharing) context of division differs from the measurement context. Give a word problem for each context.

15. Show by counterexample that subtraction and division are not associative, subtraction with whole numbers is not closed for subtraction or division, and subtraction and division are not commutative.

16. Discuss division and zero. In other words how would you explain to 5th graders why you can do [pic] but not [pic].

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