Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
Explain, in your own words, the least common multiple of two numbers.
1)
2)
Tell what you would do if you added the fraction parts of mixed numbers and the result
was greater than 1.
2)
3)
Explain what is wrong with the answer to this problem and give the correct answer.
6
7
2
=36
14
3)
is 36
4)
Explain the difference in subtracting like and unlike fractions. In which step does this
difference occur?
4)
5)
Is step 3, “write answer in lowest terms”, needed when the answer to a subtraction problem
is 3
5? Answer yes or no and explain why.
5)
6)
Explain why, when rewriting a fraction with a different denominator, the fraction can be
multiplied by another fraction whose numerator and denominator are the same.
6)
7)
What is wrong if two fractions are added and the result is expressed as a whole number
and an improper fraction?
7)
8)
Write the two steps used to identify the greater fraction when comparing two fractions.
8)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
9)
A nail 61
3 inches long is driven into a board 21
2 inches thick. How much of the nail protrudes from
the other side of the board?
9)
A)
4
9 inch(es)
B)
35
6 inch(es)
C)
72
3 inch(es)
D)
2
9 inch
Locate the fraction on the number line.
10)
13
6
10)
A)
13
6
B)
13
6
C)
13
6
D)
13
6
11)
21
5
11)
A)
21
5
B)
21
5
C)
21
5
D)
21
5
Find the sum and simplify the answer.
12)
7
8
+3
8
12)
A)
5
8
B)
11
4
C)
21
64
D)
13
8
Find the least common multiple for the set of numbers.
13)
112, 96
13)
A)
1344
B)
336
C)
224
D)
672
Use the order of operations to simplify the expression.
14)
9
5÷6
5+3
5
14)
A)
1
9
B)
11
4
C)
11
2
D)
1
Subtract. Write the answer in lowest terms as a mixed number.
15)
12 2
9
–65
6
15)
A)
57
18
B)
45
18
C)
67
18
D)
5
First estimate the answer. Then add or subtract to find the exact answer. Write answer as a mixed number.
16)
30 4
5
+17 1
2
16)
A)
Estimate: 49; Exact: 48 3
10
B)
Estimate: 48; Exact: 47 1
2
C)
Estimate: 48; Exact: 27
D)
Estimate: 47; Exact: 48 3
10
Subtract the fractions. Write the answer in lowest terms.
17)
5
7–1
2
17)
A)
4
9
B)
3
14
C)
4
7
D)
1
7
Find the difference and simplify the answer.
18)
25
42
–7
42
18)
A)
2
3
B)
16
21
C)
2
7
D)
3
7
Subtract. Write the answer in lowest terms as a mixed number.
19)
18 1
5
–2
5
19)
A)
16 4
5
B)
17 4
5
C)
17 3
5
D)
18 4
5
Solve the problem.
20)
While shopping for a party, June bought 3 pounds of hamburger, 31
5 pounds of chicken, and 15
7
pounds of ham. How much meat did she buy?
20)
A)
2
5 pound
B)
35
277 pound
C)
21
2 pounds
D)
732
35 pounds
Find the least common multiple of the denominators of the fractions.
21)
79
1365 , 55
504
21)
A)
32,760
B)
16,380
C)
10,920
D)
2520
D)
Subtract. Write the answer in lowest terms as a mixed number.
22)
17 7
25
–97
20
22)
A)
7
B)
695
100
C)
793
100
D)
893
100
D)
Use the order of operations to simplify the expression.
23)
1
2+1
6·4
5
23)
A)
2
15
B)
8
15
C)
2
5
D)
22
3
D)
6
D)
Write < or > to make a true statement.
24)
5
12 ____ 3
8
24)
A)
>
B)
<
First estimate the answer. Then add or subtract to find the exact answer. Write answer as a mixed number.
25)
18
–35
8
25)
A)
Estimate: 14; Exact: 14 3
8
B)
Estimate: 15; Exact: 14 5
8
C)
Estimate: 15; Exact: 15 5
8
D)
Estimate: 14; Exact: 15 3
8
Find the least common multiple for the set of numbers.
26)
7, 14, 21, 36
26)
A)
259
B)
252
C)
280
D)
112
Solve the problem.
27)
June wants to work for 13 1
4 hours at her part–time job this week. She has already worked 73
4
hours. How many more hours does she need to work?
27)
A)
51
2 hours
B)
5 hours
C)
61
2 hours
D)
41
2 hours
Find the least common multiple for the set of numbers.
28)
7, 14, 28, 49
28)
A)
392
B)
49
C)
147
D)
196
Solve the problem. Write the answer in lowest terms.
29)
Mr. Roberts installed 1
16 –inch thick laminated material on top of 5
16 –inch thick plywood to make
a countertop. What was the thickness of the completed countertop?
29)
A)
5
8 inch
B)
3
8 inch
C)
1
8 inch
D)
1
4 inch
Find the sum and simplify the answer.
30)
1
9
+1
9
30)
A)
3
10
B)
1
8
C)
2
9
D)
1
9
Solve the problem. Write your answer as a mixed number when possible.
31)
A biology experiment required pouring 5
9 gallon of nutrient solution and 1
2 gallon of pure water
into a tank. At the end of the experiment, 1
8 gallon of fluid had evaporated. How much fluid
remained in the tank?
31)
A)
1 gallon(s)
B)
72
7 gallons(s)
C)
67
72 gallon(s)
D)
17
144 gallon(s)
Add. Write your answer in lowest terms.
32)
2
3+1
7
32)
A)
3
7
B)
17
21
C)
6
7
D)
3
10
Solve the problem. Write the answer in lowest terms.
33)
Mrs. Montoya installed 1
8–inch roofing shingles on top of a 1
8–inch vapor barrier. What was the
combined thickness of the two materials?
33)
A)
1
16 inch
B)
3
32 inch
C)
1
32 inch
D)
1
4 inch
Solve the problem. Write your answer as a mixed number when possible.
34)
Following the manufacturer’s instructions, Kay emptied her car’s radiator, poured in 4
5 liter of
cleaning agent, waited an hour, drained 7
9 liter of the cleaning agent, and finally added 6
7 liter of
plain water. How many liters of fluid (water and cleaning agent) were in the radiator at the end of
the procedure?
34)
A)
1 liter(s)
B)
3 liter(s)
C)
277
315 liter(s)
D)
1
35 liter(s)
First estimate the answer. Then add or subtract to find the exact answer. Write answer as a mixed number.
35)
7
8
+47
12
35)
A)
Estimate: 5; Exact: 511
24
B)
Estimate: 6; Exact: 511
24
C)
Estimate: 6; Exact: 51
6
D)
Estimate: 5; Exact: 311
12
36)
14 2
3
–31
5
36)
A)
Estimate: 11; Exact: 11 7
15
B)
Estimate: 12; Exact: 11 1
2
C)
Estimate: 11; Exact: 11 3
5
D)
Estimate: 12; Exact: 11 7
15
Solve the problem. Write your answer as a mixed number when possible.
37)
A trawler caught 1
4 ton of fish Monday and 4
7 ton of fish Tuesday, but had to throw back 1
8 ton.
How many tons of fish remained from the two days’ catch?
37)
A)
39
56 ton(s)
B)
1
14 tons
C)
11
3 ton(s)
D)
51
3 ton(s)
Find the sum and simplify the answer.
38)
1
18 +1
18
38)
A)
1
18
B)
1
36
C)
1
9
D)
1
324
Find the difference and simplify the answer.
39)
7
8
–3
8
39)
A)
5
8
B)
1
4
C)
2
3
D)
1
2
Rewrite the fraction with the indicated denominator.
40)
7
12 =?
60
40)
A)
7
60
B)
420
720
C)
35
60
D)
84
60
Use the order of operations to simplify the expression.
41)
3
5
3
·1
2
41)
A)
6
5
B)
3
10
C)
27
250
D)
1
3
Solve the problem.
42)
Henry is designing a flag that has one 2 1
2–inch gold stripe, followed by one 3 1
4–inch white stripe,
followed by one 1 1
2–inch gray stripe. How wide is one series of three stripes?
42)
A)
7inches
B)
63
4 inches
C)
71
2 inches
D)
71
4 inches
Find the difference and simplify the answer.
43)
8
25 –5
25
43)
A)
2
3
B)
3
25
C)
1
2
D)
13
25
Subtract. Write the answer in lowest terms as a mixed number.
44)
18
–1
3
44)
A)
15 2
3
B)
18 2
3
C)
17
D)
17 2
3
Subtract the fractions. Write the answer in lowest terms.
45)
6
7
–1
2
45)
A)
5
14
B)
10
7
C)
14
5
D)
1
7
Add. Write the answer in lowest terms as a mixed number.
46)
25
8
+73
8
46)
A)
37
8
B)
9
C)
10
D)
10 7
8
Find the least common multiple for the set of numbers.
47)
135, 56, 150
47)
A)
1050
B)
37,800
C)
3780
D)
7560
48)
15, 20, 30, 40
48)
A)
108
B)
120
C)
90
D)
60
Rewrite the fraction with the indicated denominator.
49)
14
7=?
14
49)
A)
14
14
B)
28
14
C)
196
98
D)
98
14
Find the least common multiple for the set of numbers.
50)
2 and 5
50)
A)
10
B)
20
C)
1
D)
7
51)
42, 126
51)
A)
42
B)
378
C)
252
D)
126
Find the sum and simplify the answer.
52)
7
9+1
9
52)
A)
7
8
B)
7
9
C)
9
10
D)
8
9
Add the fractions. Write the answer in lowest terms.
53)
2
3
+1
18
53)
A)
20
27
B)
13
18
C)
1
6
D)
1
7
Locate the fraction on the number line.
54)
9
4
54)
A)
9
4
B)
9
4
C)
9
4
D)
9
4
Find the diameter of the circle.
55)
1
21
1
21
3
5
55)
A)
53
21
B)
53
5
C)
53
105
D)
61
105
Solve the problem.
56)
A laminated lab bench has 15
8 inches of plywood, 31
2 inches of pressed board, and 1
3 inch of
formica. What is the thickness of the lab bench?
56)
A)
24
131 inch
B)
511
24 inches
C)
11
12 inch
D)
11
11 inch(es)
Find the least common multiple for the set of numbers.
57)
24, 54, 9
57)
A)
54
B)
72
C)
108
D)
216
Solve the problem.
58)
Peter must practice the piano 71
4 hours per week. He has already practiced 23
4 hours. How many
more hours does he need to practice?
58)
A)
31
2 hours
B)
51
2 hours
C)
4 hours
D)
41
2 hours
Find the length of the section represented by x in the figure.
59)
a=26 1
4
b=17
16
c=11 3
4
59)
A)
36 9
16
B)
13 1
16
C)
13 3
16
D)
15 15
16
Refer to the circle graph to solve the problem.
Time Required to Install Carpeting in a House
(Work Shift = 8 hours)
60)
What fraction of the work shift was spent laying the padding and installing new carpet?
60)
A)
3
4
B)
3
16
C)
5
16
D)
5
8
Locate the fraction on the number line.
61)
2
9
61)
A)
2
9
B)
2
9
C)
2
9
D)
2
9
Find the difference and simplify the answer.
62)
45
60 –36
60
62)
A)
3
40
B)
27
C)
17
20
D)
3
20
63)
6
8–1
8
63)
A)
3
16
B)
5
4
C)
5
8
D)
1
2
Subtract the fractions. Write the answer in lowest terms.
64)
8
15 –1
20
64)
A)
27
60
B)
7
15
C)
1
2
D)
29
60
Use the order of operations to simplify the expression.
65)
7·22–3
4
65)
A)
13 1
4
B)
27 1
4
C)
28
D)
31
4
Subtract the fractions. Write the answer in lowest terms.
66)
8
15
–1
20
66)
A)
1
2
B)
29
60
C)
27
60
D)
7
15
Add. Write the answer in lowest terms as a mixed number.
67)
72
5
+12 5
9
67)
A)
18 43
45
B)
20 43
45
C)
19 43
45
D)
743
45
Subtract. Write the answer in lowest terms as a mixed number.
68)
15 5
16
–63
8
68)
A)
815
16
B)
913
16
C)
8
D)
715
16