 Real Numbers: Multiple Choice Practice Terms of Use    Contact Person: Donna Roberts  Directions: Choose the best answer for each question. Answer ALL of the questions (or only a few at a time), then use the CHECK ANSWER button at the bottom of the page to see your progress. If you see that an answer is incorrect, go back and redo that question and CHECK ANSWERS again. Unless otherwise stated, all variables refer to real number values.

1.  Which choice shows the Distributive Property applied to (7 + a)8?
   56 + a   56 + 8a   7 + 8a   8(7 + a)

2. Which choice is equivalent to −3(5 + x) + 4x?
   4x + (−15 + 3x)     4x + (−3x − 15)   (−15 + 3x) + 4x     −15 + 3x + 4x

3. A new math operation, using the symbol Φ, is defined to be a Φ b = 3a + b, where a and b are real numbers. This new operation is:
   commutative, not associative     both commutative, associative   associative, not commutative     neither commutative, associative

4.  Under the Associative Property of Addition, the expression (m + 10) + 4 will become:
    (m + 4) + 10   m + (4 + 10)   m + (10 + 4)   14 + m

5.  According to the Multiplicative Identity, (x + 7) • = . Which choice shows the correct box entries (in order)?
    0, (x + 7)    0, 0    1, (x + 7)    1, 1

6.  What is the Additive Inverse of a - b?
    −a + b   a + b    a − b    −a − b

7.  Which property is illustrated by the statement: 9 + (x + 5) = 9 + (5 + x) ?
   Associative Property of Addition     Distributive Property   Associative Property of Multiplication     Commutative Property of Addition

8.  The area of rectangle PQRS, 6(x + 3), can be expressed as the sum of the areas of the two smaller rectangles, 6x + 6•3. The fact that 6(x + 3) = 6x + 6•3 illustrates which property?
   The Distributive Property.     The Associative Property of Addition.     The Commutative Property of Addition.     The Transitive Property. 9.  Which property is illustrated by the statement:  3.5a + 0 = 3.5a ?
   Additive Inverse Property     Distributive Property   Zero Property of Multiplication     Additive Identity Property

10.  Which choice illustrates the Associative Property of Addition?
   9 + (-9) = 0     9 + (4 + 2) = (9 + 4) + 2   9(4 + 2) = 9•4 + 9•2     9 + 4 = 4 + 9 