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Exam
Name___________________________________
Write the prime factorization of the number.
1) 64
1)
Determine whether the pair of fractions is equivalent.
3
54
and
2)
8
120
3)
2)
6
5
and
24
20
3)
Solve. Write the fraction in simplest form.
4) As part of her fitness training, Alice plans to cycle 40 miles today. So far, she has cycled 15
miles. What fraction of the total miles for the day is represented by 15 miles?
Multiply. Write the answer in simplest form.
14
9
·5)
3
8
6) -
7)
4)
5)
5
36
·12
10
6)
5 1 5
· ·
7 3 6
7)
7 2
2
8)
Evaluate.
8) -
Divide and simplify.
3 9
9) - ÷
8 2
10) -
9)
2
÷4
6
10)
Evaluate the expression for the given replacement values. Write the answer in simplest form.
1
3
for x = ,y=11) x + y
11
11
12) x - y
for x = -
1
6
,y=7
7
11)
12)
1
Find the LCD of the list of fractions.
7 5
,
13) 45 35
13)
Write the fraction as an equivalent fraction with the given denominator.
14) 1 =
15)
14)
39
3
=
9 27
15)
Add or subtract as indicated. Write the answer in simplest form.
1
9
16) +
4 10
16)
8
5
15 24
17)
18) -
1
3
+
16 4
18)
19) -
15
7
34 26
19)
1
7
5
+
3 36 6
20)
17)
20)
Write the mixed number as an improper fraction.
7
21) 4
8
22) 23
21)
12
13
22)
Write the improper fraction as a mixed or whole number.
19
23)
6
24)
23)
257
9
24)
Graph the list of numbers on the given number line.
1
7 1
25) -2, - , - 2 , 2 , 2
4
8 2
25)
2
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a
mixed number.
4
1
26) 1 · 3
26)
5
3
1
2
27)
28) 6
1
3
÷1
2
10
28)
29) 5
5
7
+1
6
8
29)
27) 5 ÷ 1
30)
+ 15
31)
31)
5
6
+ 1
32) 7
4
5
5
1
-4
24
18
11
- 6
34)
5
18
1
5
2
1
33)
30)
4
24
9
32)
33)
1
7
34)
1
18
6
-5
5
12
3
Choose the best estimate for the sum or difference.
1
19
35) 11 - 1
9
20
A) 11
36) 20
35)
B) 10
C) 9
D) 20
5
1
+ 17
6
9
36)
A) 37
B) 20
C) 36
Translate the phrase to an algebraic expression. Use "x" to represent "a number".
5
by a number
37) Multiply 8
12
38) The sum of -1
1
and a number
2
D) 38
37)
38)
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a
mixed number.
3
1
39) -21 + 10
39)
4
8
40) -48
4
3
- -27
15
20
40)
Divide and simplify.
5
1
÷
41) 13 5
42) -4 ÷
41)
2
7
42)
4
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