EXAM

1. WRITE T if true and F if False.

3. 1. The sum of any number and zero is the number itself.

4. 2. 5/6 is less than 2/3.

5. 3. To add 4 + 1/2, the whole number should be expressed as 8/2 + 1/2.

6. 4. If one side of a triangle measures 3 units long, then 3^2 represents its area.

7. 5. The set of favorite colors is a well-defined set.

8. 6. The null set can have one element, which is any number.

Set L = {0, 2, 4, 6, 8,…}

      

1. 7. Set L is a finite set.

2. 8. 10 ∈ L.

3. 9. The set of even numbers is a subset of L.

1. 10. Integers increase in value as they move farther to the left of the number line.

2. 11. The absolute value of a number is always a positive number.

3. 12. The absolute value of 7 is |7|.

4. 13. -(-b + a) is equal to b + a.

5. 14. The opposite of 5 is -5.

II. For each item, there are two choices on the right, A or B. Identify the correct set for each given mathematical statement. Write the CAPITAL LETTER of the correct answer on the blank before each number.

Sets:

• U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• A = {1, 2, 3, 6}

• B = {2, 4, 6, 8}

• C = {5, 7, 8, 10}

• D = {1, 3, 9}

Questions:

1. A ∪ C

A. {1, 2, 3, 5, 6, 7, 8, 10}

B. {2, 4, 6, 8, 5, 7, 10}

2. B’

A. {1, 3, 5, 7, 9, 10}

B. {1, 3, 5, 7, 9}

3. C ∩ D

A. {1, 3, 5, 7, 9}

B. {1, 3}

4. A’ ∩ B

A. {4, 5, 7, 8, 9, 10}

B. {4, 6, 8}

5. B’ ∩ D

A. {1, 3, 9}

B. {1, 3, 5, 7, 9}

II. For each item, there are two choices on the right, A or B. Identify the correct set for each given mathematical statement. Write the CAPITAL LETTER of the correct answer on the blank before each number.

Sets:

• U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• A = {1, 2, 3, 6}

• B = {2, 4, 6, 8}

• C = {5, 7, 8, 10}

• D = {1, 3, 9}

6. A ∪ B’

A. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

B. {1, 2, 3, 4, 5, 6, 7, 8, 9}

7. C ∩ A’

A. {4, 5, 7, 8, 10}

B. {4, 5, 7, 8}

8. (A ∩ B)’

A. {1, 4, 5, 7, 8, 9, 10}

B. {1, 2, 3, 4, 5, 7, 8, 9, 10}

9. D’ ∪ (A ∩ B)

A. {2, 4, 6, 8, 5, 7, 10}

B. {2, 4, 6, 8}

10. (B ∩ C) ∪ D

A. {1, 3, 5, 7, 8, 9}

B. {1, 3, 8, 9}

Identify what is being asked in each item. Write the CAPITAL LETTER of the correct answer on the space provided before each number.

1. Which of the following expressions will result in a negative product?

A. (-12)(-3)(-2)

B. (-12)(-3)(2)

2. Which of the following expressions will result in a positive product?

A. (-5)^4

B. (-5)^3

3. If x < 0 and y > 0, then what is the sign of the product xy?

A. positive

B. negative

4. Which of the following expressions is equal to -[(4)(-3)(-2)]?

A. -(4)(3)(2)

B. -[(4)(-3) • (-2)]

5. What is the result of [(-3)(-3)]²?

A. 9

B. 81

6. If a = -4 and b = -5, what is the sign of the expression a³ + b² ?

A. positive

B. negative

7. Which of the following expressions will yield a negative result?

A. -[(2 - 3)(-4)]

B. -[(2 - 3)(4)]

8. What is the result of the expression -[(-2)²+ 5]?

A. 9

B. -9

9. If m < 0 and n < 0, then what is the sign of the expression mn² ?

A. positive

B. negative

10. Which of the following is equal to -(x²- 9) when x = 3?

A. -(-9)

B. -0

IV. Short Answers