Download ExamView - Practice Quiz

Name: ________________________ Class: ___________________ Date: __________
ID: A
Practice Quiz - Properties
#1-11: Match each expression with the correct
property.
7. 5(19) = 5(10) + 5(9)
commutative property of addition
communtative property of multiplication
commutative property of addition
associative property of addition
identity property of addition
identify property of mutliplication
inverse property of addition
inverse property of addition
multiplicative property of zero
distributive property (use this twice)
8. (4 + 5) + 0 = 4 + 5
9. 13 + (5 + 10) = (5 + 10) + 13
10. 1 • x2 = x2
1. –9(5 + 9) = (–9)•(5) + (–9) (9)
11. 16ab = a b 16
2. 87 0 (–76) = 0
12.
5 + (–74) + 15 + (–6)
________________________________________
3. –60 + 60 = 0
a. Use the COMMUTATIVE property to re–write that
expression and make it easier to find the sum.
1
4.
2 =1
2
b. What’s the sum?
5. 11 81 10 = 81 11 10
6. 25(xy) = (25x)y
1
Name: ________________________
13.
ID: A
–18 + 14 + (–7148) + 8 + (–4)
________________________________________
________________________________________
a. Use the COMMUTATIVE property to re–write that
expression and make it easier to find the sum.
a. Use the ASSOCIATIVE property to re–write it and
make it easier to find the sum.
* Please don’t use the commutative property
b. What’s the sum?
14.
47 + [3 + (–411) + 11]
16.
b. What’s the sum?
–25(–13)(–4)
________________________________________
17.
[–17 + 17] + [–98 + (–6)] + [5 + 20] +
(–21)
a. Use the COMMUTATIVE property to re–write it
and make it easier to evalute.
________________________________________
b. What’s the product?
15.
5 • 37 • (–1) • 200
a. Use the ASSOCIATIVE property to re–write it and
make it easier to find the sum.
* Please don’t use the commutative property
________________________________________
b. What’s the sum?
a. Use the COMMUTATIVE property to re–write it
and make it easier to find the product.
b. What’s the product?
2
Name: ________________________
18.
ID: A
1
8( • 12) • (–1)
8
________________________________________
a. Use the ASSOCIATIVE property to re–write it and
make it easier to find the product.
* Please don’t use the commutative property
b. What’s the product?
19.
11 2 9 ÊÁÁ 7 1 ˆ˜˜
• • • Á • ˜ •4
7 9 2 ÁÁË 11 4 ˜˜¯
#21-28: Use the DISTRIBUTIVE Property to
rewrite each expression. Use the examples above
to help.
________________________________________
20. −8(5+ 8)
a. Use the ASSOCIATIVE and COMMUTATIVE
properties to re–write it and make it easier to find
the product.
21. 2(8− 1)
22. (−2+ 8)6
b. What’s the product?
23. (9− 2)(−5)
3
Name: ________________________
ID: A
31. Colin didn’t know 5 • 19 in his head, but he thought, “ I
24. (x − 3)8
can break it up into two different multiplication
problems that I do know, then add each product at
the end”.
25. 5(c +7)
a. What 2 multiplication problems did he probably
break it up into?
26. −9(1+ z)
b. What’s the final answer?
c. What property did he use?.
27. (3− c)7
32. Now, use that propery to find 7 • 13 in your head.
28. Use the DISTRIBUTIVE property to complete the
equation below.
33. Here’s an explanation of how to use counters to
evaluate –3 + 9:
5(x + 6) = 5x +
–– –– –– –– –– –– –– ––
29. Use the DISTRIBUTIVE property to complete the
equation below.
(y + 3)7 =
+ 21
Please explain how the INVERSE property of
ADDITION is used to find the sum.
–– –– –– –– –– –– –– ––
30. Use the DISTRIBUTIVE property to complete the
equation below.
3(a –
) = 3a – 24
–– –– –– –– –– –– –– ––
4
Name: ________________________
ID: A
34. Use the INVERSE property of ADDITION to complete
the equation below.
23 +
39. Use the INVERSE property of MULTIPLICATION to
complete the equation below.
8 11
• =
11 8
=0
__________________
–– –– –– –– –– –– –– ––
35. Use the INVERSE property of ADDITION to complete
the equation below.
40. Use the IDENTITY property of ADDITION to complete
the equation below..
+ (–3) = 0
__________________
–9 +
= –9
–– –– –– –– –– –– –– ––
36. Use the INVERSE property of ADDITION to complete
the equation below.
41. Use the IDENTITY property of ADDITION to complete
the equation below.
–65 + 65 =
__________________
+ 10 = 10
37. Use the INVERSE property of MULTIPLICATION to
complete the equation below.
2
•
3
–– –– –– –– –– –– –– ––
42. Use the IDENTITY property of ADDITION to complete
the equation below.
=1
–– –– –– –– –– –– –– ––
ÊÁ 7 ˆ˜
0 + ÁÁÁ −6 ˜˜˜ =
ÁË 8 ˜¯
38. Use the INVERSE property of MULTIPLICATION to
complete the equation below.
•
–– –– –– –– –– –– –– ––
1
=1
5
43. Use the IDENTITY property of MULTIPLICATION to
complete the equation below.
–– –– –– –– –– –– –– ––
(–2) •
= –2
–– –– –– –– –– –– –– ––
5
Name: ________________________
ID: A
44. Use the IDENTITY property of MULTIPLICATION to
complete the equation below.
49. The last problem on a no–calculator test was:
(–32)(–73)(3.14)(41186)(5637)(–8873)(0)(.5311)
• 75.9 = 75.9
–– –– –– –– –– –– –– ––
Please explain why knowing your properties would
make you a happy test–taker.
45. Use the IDENTITY property of MULTIPLICATION to
complete the equation below.
1 • (–32) =
50. Now, pretend your a teacher with a sense of humor.
Write your own problem that would reward students
who knew their ZERO property and annoy those
students who didn’t.
–– –– –– –– –– –– –– ––
46. Use the ZERO property of MULTIPLICATION to
complete the equation below.
4
• 0=
13
51. Write a math example that shows that there’s no
commutative property of subtraction.
–– –– –– –– –– –– –– ––
47. Use the ZERO property of MULTIPLICATION to
complete the equation below.
___________≠____________
* There are many answers. *
0•
=0
52. Write a math example that shows that there’s no
associative property of subtraction.
–– –– –– –– –– –– –– ––
48. Use the ZERO property of MULTIPLICATION to
complete the equation below.
___________≠____________
• (–25) = 0
–– –– –– –– –– –– –– ––
6
Name: ________________________
ID: A
53. Write a math example that shows that there’s no
inverse property of subtraction.
58. Write a math example that shows that there is also
an identity property of subtraction.
___________≠____________
59. Write a math example that shows that there is also
an identity property of division.
54. Write a math example that shows that there’s no
commutative property of division.
___________≠____________
#60-63: Use properties to find the sum or
product.
55. Write a math example that shows that there’s no
associative property of division.
60.
9 + 45 + 5 + (–9) =
________________________________________
___________≠____________
a. First, I used the _______________ property when I
56. Write a math example that shows that there’s no
inverse property of division.
______________________________________
______________________________________
___________≠____________
b. Next, I used the _______________ property when I
______________________________________
______________________________________
57. Write a math example that shows that there’s no
zero property of division.
7
Name: ________________________
61.
ID: A
1 2 7
• • • 6 • 10 =
6 7 2
63.
–3.8 + (–3.8 + 5.07) + (–5.07)
______________________________________________
______________________________________________
a. First, I used the _______________ property when I
______________________________________
______________________________________
a. First, I used the _______________ property when I
______________________________________
______________________________________
b. Next, I used the _______________ property when I
______________________________________
______________________________________
b. Next, I used the _______________ property when I
______________________________________
______________________________________
62.
2 3
(7 • ) • =
3 2
______________________________________________
a. First, I used the _______________ property when I
______________________________________
______________________________________
b. Next, I used the _______________ property when I
______________________________________
______________________________________
8