Back to Lesson 5-3
Name
Name
5-2B Lesson Master
SKILLS
5-2B
page 2
REPRESENTATIONS
Objective A: Add and subtract positive and negative
Objective L: Calculate magnitudes of turns given
angle measures or revolutions.
numbers.
In 1–6, evaluate.
−3
1. __
5 +7
3. −76 + 38
5. 386 + 511
6 _25
−38
897
−7
2. 14 + __
8
4. 51 + −19
6. −321 + −85
29. What is the result of a 166° turn followed by a −46 º turn?
13 _18
32
−406
30. What is the result of a 90° turn followed by two more 90 º turns?
In 31–34, how far does the minute hand of a clock turn in the given time?
90°
270°
31. in 15 minutes?
33. in 45 minutes?
SKILLS
Objective B: Calculate absolute value.
7. |423.4|
8. |−17.17|
9. |r + s|, when r = 23 and s = 48
11. −|r + s|, when r = 23 and s = 48
71
−71
0
13. |15| + −|46| + 31
PROPERTIES
17.17
14.
34. in 1 minute?
REPRESENTATIONS
subtraction to simplify expressions.
22 + (33 + 44) 16.
(5 + 3) + (1 + 9)5 + (3 + 1) + 9 18.
x + ( y + −z) (x + y) + −z
20.
15. (22 + 33) + 44
19.
PROPERTIES
(17 + −2) + 3
(10 + 12) +
10 + (12 + −4) + 15
(−4 + 15)
(−a + b) + (−c + d)
−a + (b + −c) + d
K
D
J
I
E
F
H
G
of positive and negative numbers
using arrows on a number line.
In 39–42, draw a picture of the addition using arrows, and evaluate the
expression.
39. −650 + −320
No
(x + y) + −3 = x + (y + −3) Yes
(r + s) + t = r +(s − t) No
(8 − 5) − 2 = 8 − (5 − 2) No
23.
24. 8 + (7 + 5) + 6 = 8 + (5 + 7) + 6
28.
43
-79
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Name
0
42
216
0
10 20 30 40 50 60 70 80
0
79
42. 42 + 37
-15
68
No
(2 + 5) + (8 + 9 ) = 2 + (5 + 8) + 9 Yes
2 + (76 − 41) = (2 + 76) − 41 Yes
Transition Mathematics
0
53
41. 68 + −15
Yes
22. 9 + (5 + 4) = (9 + 5) + 4
−36
40. −79 + 43
-650
-1080 -900 -720 -540 -360 -180
21. (8 + 3) + 7 = (3 + 8) + 7
26.
−970
-320
Objective F: Recognize uses of the Commutative
In 21–28, state whether the sentence given below is an example of the
Associative Property of Addition.
27.
L
O
Objective M: Graph addition and subtraction
17 + (−2 + 3)
and Associative Properties of Addition
and the Addition Property of Equality.
25.
A
C
Objective E: Apply properties of addition and
In 15–20, use the Associative Property of Addition to rewrite the expression.
17.
B
180°
36. Clockwise from E to I ? 240°
37. Counterclockwise from A to G? 180°
38. Counterclockwise from E to I ? 120°
35. Clockwise from A to G?
25
−|r + s|, when r = 23 and s = −48 −25
46
|26| + |−50| − |−16| + −|−14|
10. |r + s|, when r = −23 and s = 48
12.
30°
6°
32. in 5 minutes?
In 35–38, refer to the diagram at the right in which
all small angles have the same measure. Find the
magnitude of the turn around point O.
In 7–14, evaluate.
423.4
a turn of 120°
a turn of 270°
37
10 20 30 40 50 60 70 80
Transition Mathematics
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Name
5-3A Lesson Master
Questions on SPUR Objectives
See pages 352–355 for objectives.
SKILLS Objective A
SKILLS
In 1–6, evaluate.
−111
3. 43.21 − −5.89 49.1
2p
5. p − −p
1. 444 − 555
PROPERTIES
2. −422,399 − 10,051
−11
__
−9
−8
4. __
− __
14
21
−432,450
0
6. −w − −w
8. −q − p =
USES
−42
3. −358,586 − −31,008 −327,578
5. 58.67 − 9.65 49.02
9. r - r
−q + −p
In 9 and 10, state whether the sentence given below is an example of the
Algebraic Definition of Subtraction.
Yes
negative numbers.
In 1–12, evaluate.
−9
−7
7. __
- __
25
15
Objective E
48.1 + −271
9. z + x = z - −x
Objective A: Add and subtract positive and
1. 684 - 726
42
In 7 and 8, use the Algebraic Definition of Subtraction to rewrite the
expression.
7. 48.1 - 271 =
5-3B Lesson Master
10. h − s = −h + s
11. −t - −t
8
___
75
−31
−17
___
8. ___
36 - 27
0
0
PROPERTIES
No
−305
4. −693,487 - −21,006 −672,481
6. 32.99 − 2.58 30.41
2. 238 − 543
10. v - −v
Objective I
Copyright © Wright Group/McGraw-Hill
P - 4.89
T − 24
12. In late spring, the Caruthers’ tree was 24 feet tall. Six months later,
it was T feet tall. How much did it grow?
REPRESENTATIONS
10
Objective E: Apply properties of addition and
subtraction to simplify expressions.
In 11–13, a situation is given. Write an equation or expression that
represents the situation.
S − 112.8
13. The stock market opened the day at a value of S. By the end of the
day it had fallen 112.8 points.
108
2v
12. (2 - −2) + (3 - −3)
In 13–16, use the Algebraic Definition of Subtraction to rewrite the
expression.
11. A snack bar sells a regular taco salad for $4.89. The taco salad
special, including a drink and dessert, costs P. How much more
would someone pay for the special?
−25
__
56.8 + −381
−k + −r
13. 56.8 - 381
14. 41.4 - 234
15. −k - r
−9
3
__
16. __
5 -4
41.4 + −234
−9
__
5
3
+ − __
4
In 17–20, state whether the sentence given below is an example of
Algebraic Definition of Subtraction.
17. z - x = z + −x
19. r + 2 = r - −2
Yes
Yes
18. p - −2 = p + 2
20. x + −5 = −5 + x
Yes
No
21. Why is the Algebraic Definition of Subtraction also called the Add-Opp Property?
Subtracting a number is the same as
adding its opposite.
Objective M
In 14 and 15, draw a picture of the subtraction using arrows, and evaluate
the expression.
14. −89 − 54
−143
-54
15. 14 − 81
-89
−67
-81
14
-160
-120
-80
-40
0
-70 -60 -50 -40 -30 -20 -10
0
10
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Transition Mathematics
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