Unit 1: Lesson 1 - Properties of Addition and Subtraction
1. Indicate which property is illustrated in Step 2.
Step 1
Step 2
Step 3
Step 4
2 + (4 + 8) + 0 = 2 + (8 + 4) + 0
= (2 + 8) + (4 + 0)
= (2 + 8) + 4
= 10 + 4
A. associative property of multiplication
B. identity property of addition
C. commutative property of multiplication
D. associative property of addition
2.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
3.
Which of the following shows the sum of the number indicated on the number line
above and
A.
B.
C.
D.
?
4.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
5. Use properties of rational numbers to simplify the expression.
A.
B.
C.
D.
6.
Which of the following shows the sum of the number indicated on the number line
above and ?
A.
B.
C.
D.
7.
Which of the following number lines shows the correct sum of the number above
and -2?
A.
B.
C.
D.
8. Use properties of rational numbers to simplify the expression.
53 + 16.21 + 38.94
A. 109.25
B. 108.15
C. 107.15
D. 107.14
9. Use properties of rational numbers to simplify the expression.
(39 - 12.13) - (139.4 + 6)
A. -94.27
B. 172.53
C. -118.53
D. 160.53
10.
Which of the following number lines shows the correct sum of the number above
and -1.2?
A.
B.
C.
D.
11. Subtract.
10.736 - (-25.942)
A. 36.678
B. 15.206
C. -15.206
D. -36.678
12. Use properties of rational numbers to simplify the expression.
A.
B.
C.
D.
13.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A. -4.5
B. -9.0
C. 9.0
D. 4.5
14.
Which of the following number lines shows the correct sum of the number above
and ?
A.
B.
C.
D.
15.
Which of the following number lines shows the correct sum of the number above
and 1.9?
A.
B.
C.
D.
16.
Which of the following shows the sum of the number indicated on the number line
above and -2?
A.
B.
C.
D.
17.
Which of the following shows the sum of the number indicated on the number line
above and -6?
A.
B.
C.
D.
18.
Which of the following shows the sum of the number indicated on the number line
above and ?
A.
B.
C.
D.
19. Use properties of rational numbers to simplify the expression.
138.06 + 0.31 + 26
A. 167.16
B. 140.97
C. 164.37
D. 164.31
20.
Which of the following shows the sum of the number indicated on the number line
above and 3.6?
W.
A. W
B. X
C. Z
D. Y
X.
Y.
Z.
21. By lunch time Peter had dug part of a hole to plant a tree. At the end of the
day, Peter had finished digging the hole. The number line below shows the depth
of the hole at lunch time and at the end of the day.
According to the number line, how many feet did Peter dig between lunch time
and the end of the day?
A.
B.
C.
D.
22. Subtract.
-162 - 443
A. 605
B. -281
C. 281
D. -605
23.
Which of the following number lines shows the correct sum of the number above
and
?
A.
B.
C.
D.
24.
6
5
4
3
2
1
0
1
2
3
4
5
6
What is the length of the red line segment on the number line?
A. -2
B. 2
C. -6
D. 6
25. A quarterback rushed for a gain of 6 yards in the first play of a football
game. On the very next play, he was sacked and lost 6 yards. How many total
yards did the quarterback gain in the first two plays?
A. 0
B. -6
C. 6
D. 12
26.
Which of the following shows the sum of the number indicated on the number line
above and ?
A.
B.
C.
D.
27.
Which of the following number lines shows the correct sum of the number above
and 4?
A.
B.
C.
D.
28.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
29. Subtract.
A.
B.
C.
D.
30.
Which of the following number lines shows the correct sum of the number above
and 0.58?
A.
B.
C.
D.
31.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A. -2.77
B. 2.77
C. -5.54
D. 5.54
32.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A. -0.75
B. -1.25
C. 0.75
D. 1.25
33. Subtract.
A.
B.
C.
D.
34. Use properties of rational numbers to simplify the expression.
A.
B.
C.
D.
35.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
36.
Which of the following number lines shows the correct sum of the number above
and
?
A.
B.
C.
D.
37. Indicate which property is illustrated in Step 4.
Step 1
Step 2
Step 3
Step 4
Step 5
(-3) + 3 + 6(12 + 1) + = (-3) + 3 + (6 • 12) + (6 • 1)
= (-3) + 3 + (72) + (6)
= (-3) + 3 + 78
= 0 + 78
= 78
A. commutative property of division
B. inverse property of addition
C. inverse property of multiplication
D. identity property of multiplication
38.
Which of the following number lines shows the correct sum of the number above
and ?
A.
B.
C.
D.
39. The number line below shows how many feet above a pool a ball was
dropped from (start) and how many feet into the pool the ball sank (end).
According to the number line, how many feet did the ball travel?
A.
B.
C.
D.
40.
Which of the following number lines shows the correct sum of the number above
and 4?
A.
B.
C.
D.
41. Indicate which property is illustrated in Step 3.
Step 1
Step 2
Step 3
Step 4
2 + (7 + 5) + 0 = 2 + (5 + 7) + 0
= (2 + 5) + (7 + 0)
= (2 + 5) + 7
=7+7
A. distributive property
B. identity property of addition
C. commutative property of multiplication
D. associative property of addition
42.
Which of the following number lines shows the correct sum of the number above
and -0.25?
A.
B.
C.
D.
43.
Which of the following number lines shows the correct sum of the number above
and -9?
A.
B.
C.
D.
44. The water level in Catherine's hot tub was below the recommended water
level when she turned the hose on. She forgot to turn the hose off and filled the
hot tub above the recommended water level. The number line below shows the
number of gallons below the recommended water level the hot tub was when she
turned the hose on and the number of gallons above the recommended water
level the hot tub was when she turned it off.
According to the number line, how many gallons of water did Catherine put in the
hot tub?
A.
B.
C.
D.
45.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A. 3.3
B. 6.6
C. -6.6
D. -3.3
46. Jack deposited a check into his account for $467.63. Then, he withdrew
$467.63 in cash in the same transaction. What is the net amount of Jack's
transaction?
A. -$467.63
B. $467.63
C. $935.26
D. $0
47.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
48.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
49.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
50.
6
5
4
3
What is the length of the red line segment on the number line?
A.
B.
C.
D.
51.
Which of the following number lines shows the correct sum of the number above
and ?
A.
B.
C.
D.
52.
Which of the following number lines shows the correct sum of the number above
and
?
A.
B.
C.
D.
53.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A. -0.35
B. 0.65
C. -0.65
D. 0.35
54.
Which of the following shows the sum of the number indicated on the number line
above and -2.2?
W.
A. Z
B. W
C. X
D. Y
X.
Y.
Z.
55.
Which of the following shows the sum of the number indicated on the number line
above and
A.
?
B.
C.
D.
56.
Which of the following number lines shows the correct sum of the number above
and ?
A.
B.
C.
D.
57.
Which of the following number lines shows the correct sum of the number above
and
?
A.
B.
C.
D.
58. Indicate which property is illustrated in Step 1.
Step 1
Step 2
Step 3
Step 4
6 + (1 + 7) + 0 = 6 + (7 + 1) + 0
= (6 + 7) + (1 + 0)
= (6 + 7) + 1
= 13 + 1
A. commutative property of addition
B. associative property of multiplication
C. commutative property of multiplication
D. identity property of addition
59.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A. 0.37
B. -0.63
C. -0.37
D. 0.63
60.
Which of the following shows the sum of the number indicated on the number line
above and 1.3?
A.
B.
C.
D.
61.
Which of the following shows the sum of the number indicated on the number line
above and 3?
A.
B.
C.
D.
62.
Which of the following shows the sum of the number indicated on the number line
above and
A.
B.
C.
D.
?
63.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.
64.
2
1
0
1
2
3
What is the length of the red line segment on the number line?
A. -3.75
B. 3.75
C. 1.25
D. -1.25
65.
Which of the following can be added to the number indicated on the number line
above to sum to 0?
A.
B.
C.
D.