Name:    SOL Review AII.1

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

1.

What property is illustrated by 15 + (35 + 12) = 15 + (12 + 35)?
 a. Associative Property of Addition c. Distributive Property b. Commutative Property of Addition d. Transitive Property of Equality

2.

Let M be the set of all 2 ´ 2 matrices. Which property does not hold for set M?
 a. Associative Property of Addition b. Commutative Property of Addition c. Commutative Property of Multiplication d. Identity Property of Multiplication

3.

If x, y, and r are real numbers with x > y and r < 0, which of the following inequalities will be true?
 a. c. b. d.

4.

What is the multiplicative identity element for the set of 3 ´ 3 matrices?
 a. c. b. d.

5.

Which statement is an example of the Symmetric Property of Equality?
 a. If a = b, then b = a. c. If a = b and b = c, then a = c. b. c = c d. If a = b, then a + c = b + c.

6.

In which set of numbers does every nonzero number have a multiplicative inverse in the set?
 a. integers c. rational numbers b. natural numbers d. whole numbers

7.

If z = a + bi and w = c + di are complex numbers, with a, b, c, and d all nonzero real numbers, which of the following must be a real number?
 a. 2z c. z × (a – bi) b. z + w d. zw

8.

If A and B are 2 ´ 2 matrices, with A ¹ B, which statement must be true?
 a. AB and BA both exist, and AB = BA. b. A–1 exists and is a 2 ´ 2 matrix. c. –B exists and is a 2 ´ 2 matrix. d. A – B and B – A both exist, and A – B = B – A.