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Homework
Benchmark Review
Show All Work on Problems 26-74
Print Last Name and First Name: _______________________________________________
Period: _________________
1.
What is the best classification of
19 ?
9.
3
[A] whole number, integer
[B] irrational number
4
[C] rational number, integer
[D] rational number
[9]
[1]
2.
3
10.
5
1
2
What is the best classification of –0.3?
[A] rational number
[B] irrational number
[A] naturals, rationals
[B] integers, rationals
[C] rational number, integer
[D] whole number, integer
[C] rationals
[D] none of the sets
[10]
[2]
3.
What is the best classification of
11.
7?
[A] irrational number
[B] rational number
[C] rational number, integer
[D] whole number, integer
0.4
[A] rational numbers, integers
[B] rational numbers
[C] whole numbers, integers
[D] integers
[11]
[3]
4.
12.
What is the best classification of –9?
[A] irrational number
[B] whole number, integer
[C] rational number, integer
[D] rational number
0
[A] whole numbers, integers, rational numbers
[B] rational numbers
[C] integers
[D] none of the sets
[12]
[4]
13.
Identify all sets to which the number belongs.
5.
−
4
What is the best classification of
2?
[A] rational number
[B] irrational number
[C] rational number, integer
[D] whole number, integer
5
[13]
Evaluate the absolute value.
[5]
6.
–6
14.
[6]
7.
What is the best classification of
–6
[14]
5?
[A] irrational number
[B] rational number
[C] rational number, integer
[D] whole number, integer
15.
− 1
[B] 1
[C] ±1
[D] –1
[15]
16.
− 5
[16]
8.
1
1
[7]
Identify all sets to which the number belongs.
[A] −
–0.92
[8]
Have a Nice Day
17.
Which property is illustrated by the following statement?
( 3 ⋅ 9 ) ⋅ 5 = ( 9 ⋅ 3) ⋅ 5
23.
Which of the following is an example of the commutative property
of addition?
[A] Associative property of multiplication
[A] (12 + 9) + 4 = 12 + (9 + 4)
[B] 7 + 4 = 11 + 0
[B] Commutative property of addition
[C] 4 + (2 + 3) = 4 + (2 + 3)
[D] 2 + 1 = 1 + 2
[C] Commutative property of multiplication
[23]
[D] Associative property of addition
24.
[17]
18.
Which property is illustrated by the following statement?
(5 + 3) + 9 = ( 3 + 5) + 9
Which of the following is an example of the commutative property
of addition?
[A] (10 + 11) + 4 = 10 + (11 + 4)
[B] 5 + 6 = 6 + 5
[C] 6 + (5 + 2) = 6 + (5 + 2)
[D] 5 + 4 = 9 + 0
[A] Associative property of multiplication
[24]
[B] Commutative property of addition
25.
[C] Commutative property of multiplication
Which of the following is an example of the commutative property
of addition?
[D] Associative property of addition
[A] 5 + 4 = 9 + 0
[B] 1 + 6 = 6 + 1
[C] (10 + 9) + 4 = 10 + (9 + 4)
[18]
[D] 4 + (1 + 3) = 4 + (1 + 3)
19.
Which property is illustrated by the following statement?
9 + ( 2 + 7 ) = ( 9 + 2) + 7
[A] Associative property of addition
[25]
Use the distributive property to write an equivalent variable expression.
[B] Associative property of multiplication
[C] Commutative property of multiplication
26.
b
3 x+2
g
[D] Commutative property of addition
[26]
[19]
20.
27.
Which property is illustrated by the following statement?
2 ⋅ (8 ⋅ 7 ) = ( 2 ⋅ 8) ⋅ 7
[A] Commutative property of multiplication
[27]
28.
[B] Commutative property of addition
3( 3 − 6 x )
[28]
[C] Associative property of multiplication
29.
[D] Associative property of addition
[20]
21.
6( 5 − 8 x )
5( 7 x − 8 y )
[A] 35 x − 40 y
[B] 35 x − 8 y
[C] 7 x − 8 y
[D] 35 x + 40 y
Which property is illustrated by the following statement?
4 + ( 7 + 3) = ( 4 + 7 ) + 3
[29]
30.
[A] Commutative property of multiplication
9 (8 x + 7 y )
[B] Associative property of addition
[A] 8 x + 7 y
[B] 72 x + 7 y
[C] Associative property of multiplication
[C] 72 x + 63 y
[D] 72 x − 63 y
[D] Commutative property of addition
[30]
[21]
22.
31.
Which property is illustrated by the following statement?
( 7 + 9) + 4 = ( 9 + 7) + 4
[A] Commutative property of multiplication
3( 9 x + 5 y )
[A] 27 x + 15 y
[B] 27 x − 15 y
[C] 27 x + 5 y
[D] 9 x + 5 y
[31]
[B] Commutative property of addition
[C] Associative property of multiplication
32.
[D] Associative property of addition
z(3 + f + j)
[32]
[22]
Have a Nice Day
Solve the equation. Then check your solution.
33.
47.
Debbie’s age is 48, which is 30 less than 6 times Daisy’s age. How
old is Daisy?
[A] 3
7x + 6 = 41
[B] 15
[C] 13
[D] 2
[47]
[33]
Add or subtract. Then simplify, if possible.
34.
2x + 2 = 20
[34]
48.
35.
2
1
–
3
5x + 9 = 24
[A]
4
5
[B]
12
5
[C] −
7
1
4x + 8 = 24
[48]
[A] 3
[B] 16
[C] 4
[D] 32
49.
8x + 5 = 45
[B] 2
[C] 8
5
50.
2
1
–
3
51.
9x – 2 = 16
9x − 1 = 17
[A] 11
[B] 2
[C] 0
[D] –7
5x − 7 = 43
[A] 10
[B] 4
[C] –31
52.
11
−
2
7
x
1
3
6 +5
3
4
[52]
[D] 5
53.
+5= 7
1
2
4 +4
2
5
[53]
[42]
54.
3
8x + 4 = 52
[A] 56
[B] 7
[C] 10
9
+
7
14
[D] 6
[54]
[43]
44.
4x + 9 = 41
[A] 11
[B] 50
[C] 3
55.
[D] 8
6r + 2 = –28
[A] –6
[B] –5
[C] –4.33
56.
Sam’s age is 33, which is 9 more than 3 times Mickey’s age. How
old is Mickey?
[B] 13
[C] 14
14
15
3
–
4
Write the sentence as an equation. Then solve the equation and check your
solution.
[A] 8
+
[55]
[D] 4.33
[45]
46.
1
3
[44]
45.
[C]
11
[D]
20
10
1
10
[A]
9
[B] −
9
1
[C]
1
[D]
18
18
[A]
25
60
[B]
9
2
[C]
67
[D] −
35
1
3
[56]
57.
2
–
3
[57]
[D] 10
[46]
Have a Nice Day
1
2
1
2
9
2
[51]
4
43.
9
6
5
[41]
42.
1
[B] −
[50]
[40]
41.
11
7x – 6 = 15
[39]
40.
[A]
[D] 50
[38]
39.
1
–
[49]
[A] 5
[37]
38.
3
4
[36]
37.
1
12
12
[35]
36.
[D]
58.
Frank has three packages of seeds. One of the packages contains
1
1
5 ounces, one contains
ounce, and one contains 2 ounces.
5
3
How many ounces of seeds does Frank have in all?
66.
6⋅
1
4
[A] 2
67.
1
[B]
10
68.
9
[C] 1
[D]
2
⋅ 6
5
10
[A]
7
Find the area of the rectangle.
7
3 – yd
8
8
10
[68]
Multiply. Then simplify, if possible.
2
[D] 2
4
1
9 – yd
5
[60]
⋅
2
1
27
Add or subtract. Then simplify, if possible.
4 1
+
5 10
1
[C] 6
[67]
[A] 1
61.
1
[66]
Jan has three canisters of sugar. One of the canisters contains
1
1
7 cups, one contains
cup, and one contains 9 cups. How
3
2
many cups of sugar does Jan have in all?
[59]
60.
[B] 1
2
[58]
59.
1
5
[B]
9
Divide. Then simplify, if possible.
5
[C]
14
7
35
[D]
10
69.
2
2
÷
18
9
[A]
3
1
[B] 6
2
[C] 1
9
18
1
3
[61]
62.
1
7
⋅
7
[A]
9
1
[B]
9
7
[C]
16
9
2
[D] 9
70.
49
2
÷
16
7
55
71.
4
2
[A]
5
[A]
[B]
5
[C]
110
2
[D]
11
64.
⋅
[A]
32
[B]
35
5
[C]
56
5
1
72.
50
÷
10
9
1
[C]
21
1
[D]
15
73.
6
7
⋅ 10
[A]
3
10
[B]
6
5
[C]
3
5
3
÷2
8
210
[D]
3
74.
2
9
÷7
2
[74]
[65]
Have a Nice Day
1
4
[73]
[64]
65.
2
[72]
[B]
[D] 3
17
35
112
[A]
11
10
[B]
5
22
[C]
10
[D]
11
22
5
[71]
18
7
3
11
22
5
35
5
÷
5
[63]
6
4
8
8
27
[70]
20
⋅
1
[69]
[62]
63.
[D]