MAT 0002 Sections 3.7 (Operations on Mixed Numbers)
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the list of numbers on the given number line.
3
7 1
1) 0, 1 , - , 4 , 4
4
8 2
4
A)
1
2
B)
-
2) -1, -
1
7
8
1
4
D)
-
7
8
-
C)
3
4
1
4
4
1
7
8
3
4
3
4
1
2
1)
1
2
1
2
3
4
-
7
8
1 5
9
,1 ,2 ,5
2 6 10
2)
2
A)
2
B)
C)
-
D)
9
10
1
9
5
1
10 6
1
2
-
1
5
6
1
2
1
5
6
5
6
-
-
1
2
2
9
10
2
1
2
9
10
Perform the indicated operation. Write the answer as a mixed number in simplest form.
4 3
3) 1 ·
9 5
A)
4) 5
11
15
B)
13
15
C) 4
13
15
D) 1
3)
12
45
1
·2
2
A) 20
4)
B) 7
1
2
C) 10
1
D) 11
5) 2
2
1
·2
5
2
5)
B) 4
A) 11
6) 6
8) 6 ÷ 2
6)
B) 45
D) 36
C) 46
6
12
7)
1
8
B) 9
8
41
C) 9
17
40
D) 2
37
40
5
8
8)
A) 15
3
4
B) 2
2
7
C) 15
2
7
D) 2
3
4
5 1
÷
8 3
A) 4
10)
D) 6
4
5
·1
5
8
A) 47
9) 1
C) 7
2
3
·6
3
4
A) 41
7) 5
9
10
9)
7
24
B) 4
7
8
C)
13
24
D) 4
1
3
1
1
÷3
2
5
A)
11) 2
10)
5
32
B)
1
32
C) 6
2
5
D) 1
3
5
5
1
÷1
6
7
A) 2
11)
23
47
B) 3
23
48
C) 2
24
48
D) 2
23
48
Add and simplify.
12)
1
1
3
+ 12
4
9
A) 14
13)
12)
7
9
B) 12
7
9
C) 13
7
9
D) 1
7
9
13)
1
11
7
+ 12
1
5
A) 22
12
35
B) 11
12
35
C) 23
2
12
35
D) 24
12
35
14)
14)
6
6
7
1
7
+6
A) 13
15)
6
7
D) 1
C) 13
6
7
15)
6
16
7
16
4
7
+2
6
7
B) 35
A) 36
16)
B) 12
2
7
C) 36
2
7
D) 37
2
7
16)
1
18
2
19
1
2
+
2
3
A) 38
17)
1
2
B) 37
2
3
C) 38
2
3
D) 39
2
3
17)
2
2
7
+ 16
1
7
A) 2
18) 5
3
7
B) 17
3
7
C) 19
3
7
D) 18
3
7
2
3
+5
7
8
18)
B) 3
A) 2
17
56
C) 10
37
56
D) 1
Subtract and simplify.
4
8
19) 11 - 8
9
9
A) 2
20) 20
5
9
B) 18
5
9
C) 2
4
9
D) 19
5
9
1 16
8 32
A) 20
21) 38
19)
5
8
20)
B) 18
5
8
C) 19
5
8
D) 19
2
13
- 25
3
16
A) 12
41
48
21)
B) 11
41
48
C) 12
3
D) 13
41
48
22) 15
5
3
-6
16
8
B) 9
A) 8
23)
13
16
C) 7
15
16
D) 8
15
16
23)
4
18
9
8
9
-
A) 18
24)
5
9
B) 17
4
9
C) 16
5
9
D) 17
5
9
24)
13
1
9
-
A) 13
25)
8
9
B) 12
8
9
C) 10
8
9
D) 12
25)
7
17
25
9
-
7
20
A) 6
26)
95
100
C) 7
B) 7
93
100
D) 8
93
100
26)
2
13
15
7
-
2
9
A) 5
27)
41
45
B) 4
41
45
D) 6
C) 5
43
45
27)
2
12
9
6
-
5
6
B) 5
A) 5
28)
22)
7
18
C) 4
5
18
D) 6
7
18
28)
5
15
8
-2
1
8
A) 13
3
4
B) 17
3
4
C) 17
4
1
2
D) 13
1
2
Solve.
29) A recipe for fudge calls for 3
1
cups of brown sugar. If you are only making a half-batch, how
2
29)
much brown sugar would you need?
A) 7 cups
C) 3
B) 2 cups
1
cups
4
30) A wall in Alex and Carla Dinu's garden is to be built using brick that is 2
mortar joint that is
A) 15
5
in.
8
3
cups
4
3
inches wide and a
8
B) 15
5
in.
16
C) 14
5
in.
16
D) 14
5
in.
8
1
gallons of gasoline. Calculate how many miles per
6
gallon she gets in her vehicle.
1
37
mpg
A) 238 mpg
B)
6
1428
C) 1467
2
mpg
3
D) 38
B) 120 doses
C) 128 doses
31)
22
mpg
37
1
-ounce doses are available in a 16-ounce container of medicine?
8
A) 2 doses
30)
11
inch wide. Use the diagram to find the height of the wall.
16
31) On a recent trip, Asha drove 238 miles on 6
32) How many
D) 1
32)
D)
1
dose
128
33) Elizabeth is making matching holiday outfits for herself and her 3 children. Elizabeth's outfit
9
7
requires 2
yds of fabric and each child's outfit requires yds. She finds a 5-yd remnant on sale.
16
8
33)
Is this enough material to make all 4 outfits? If not, how much more material is needed?
3
yd
A) No;
B) Yes
16
34) A plumber has a 19-ft piece of PVC pipe. He needs to cut the pipe into sections
many sections will he be able to cut from the pipe?
A) 265
B) 267
C) 266
1
-ft long. How
14
D) 1
35) The donut below has the dimensions shown. What is measure of the outer diameter of the donut?
3
inch
8
5
inch
8
A)
15
in
64
B)
9
64
in2
C) 1 in
5
34)
D) 1
5
in
8
35)
36) A recipe for fudge brownies calls for 1
3
1
cups of cocoa per batch. If you are making 1 batches,
4
2
how many cups of cocoa are needed?
1
1
A) 1 cups
B) 3 cups
4
4
37) A stack of 1
C) 2
5
cups
8
D) 1
36)
1
cups
8
1
1
-inch wide pizza boxes has a height of 27 -inches. How many boxes are in the
4
2
37)
stack.
27
1
2
A) 34 boxes
B) 27 boxes
C) 22 boxes
D) 11 boxes
38) Steve and Kim have put in a new tile entryway in their house. The tiles measure 16 × 16 in. and
3
have grout joints in. wide. Use the diagram to find the width of the entryway.
8
A) 81
1
in.
2
B) 82
1
in.
4
C) 560 in2
D) 9372
1 2
in
2
39) A sidewalk is built seven bricks wide by laying each brick side by side. How many inches wide is
3
the sidewalk if each brick measures 2 inches wide?
4
2
A) 19
1
in.
4
38)
39)
3
in.
4
B) 18
1
in.
4
40) A female tiger had 4 cubs. They weighed 2
C) 18
3
in.
4
D) 19
3
in.
4
3
9
5
7
,2 ,3 ,4
pounds, respectively. What was the
16 16 16 16
average weight of a cub? (Recall that the average of a list of numbers is their sum divided by the
number of items in the list.)
3
5
1
1
A) lb
B) 2 lb
C) 3 lb
D) 2 lb
8
8
8
8
6
40)
41) Find the area and perimeter of the figure:
41)
1
ft
4
1
ft
3
A) area:
1 2
1
ft ; perimeter: 1 ft
4
6
B) area:
3 2
7
ft ; perimeter:
ft
16
12
C) area:
1 2
1
ft ; perimeter: 1 ft
12
6
D) area:
1
1
in2 ; perimeter: 1 in
12
6
42) Find the area and perimeter of the figure:
1
42)
1
m
5
A) area: 1
1
4
m 2 ; perimeter: 4 m
25
5
B) area: 2
2 2
1
m ; perimeter: 4 m
5
5
C) area: 1
1
1
m 2 ; perimeter: 4 m
25
5
D) area: 1
11 2
4
m ; perimeter: 4 m
25
5
Perform the indicated operation. Write the answer as a mixed number in simplest form.
3
7
43) 4 · (-4 )
7
9
A) - 14
44) -7
17
63
B) - 21
10
63
C) 14
17
63
43)
D) 21
10
63
1
3
÷ (-4 )
10
5
A) 1
45) -38
25
46
B) - 1
7
24
3
34
D) 2
3
34
45)
B) - 27
13
24
C) - 28
7
24
D) 27
13
24
1
6
46)
B) 59
5
6
C) 59
1
6
D) - 59
5
6
7
7
- 43
18
9
A) 164
48) -23
C) - 2
1
1
+ (-31 )
2
3
A) - 59
47) -38
25
46
3
1
+ 10
8
12
A) 28
46) -28
44)
1
3
47)
B) 82
1
6
C) - 164
1
3
D) - 82
1
6
5
3
- (-48 )
6
8
A) 73
5
8
48)
B) 98
1
6
C) 24
7
13
24
D) - 24
13
24