Study guide 7.2 and 7.16

MATH-7
SOL Review 7.2 and 7.16 - Sequences and Properties
Exam not valid for Paper Pencil Test Sessions
1
[Exam ID:0ZM1TD
Directions: Click on a box to choose each sequence you want to select. You must select all correct sequences.
Identify each sequence that has a common ratio of 1 .
4 560, 140, 36, 9, ...
512, 128, 32, 8, ...
12, 48, 192, 768, ...
7, 28, 112, 448, ...
320, 80, 20, 5, ...
256, 64, 16, 4, ...
768, 192, 48, 12, ...
2
Directions: Click on a box to choose each sequence you want to select. You must select all correct sequences.
Identify each sequence that has a common difference of 3.
159, 156, 153, 150, ...
130, 133, 136, 139, ...
18, 15, 12, 9, ...
26, 29, 32, 35, ...
108, 36, 12, 4, ...
7, 10, 13, 16, ...
6, 18, 54, 162, ...
3
Look at the following variable expression. p + 8 Which sequence is described by the given variable expression?
A 3, 24, 192, 1536, ...
B 8, 16, 32, 64, ...
C 17, 25, 33, 41, ...
D 56, 63, 70, 77, ...
E 96, 88, 80, 72, ...
4
What is the common ratio in the given sequence? 14, 28, 56, 112, 224
A -14
1 B
2 C 2
D 14
5
Hannah wrote the sequence shown. 24, 18, 12, 6, ... Which variable expression describes the relationship between consecutive terms in the sequence?
A p + 6
3 B
p
4 C p - 6
1 D
p
2 6
Look at the sequence. -768, 384, -192, 96, ... What is the variable expression that can determine the next term in the sequence?
A 2k
1 B
k
2 C -2k
1 D - k
2 7
If q represents a number in the sequence -1.3, -1.6, -1.9, -2.2, ..., the next term in the sequence can be determined using the variable expression — A
B
C
D
8
-0.3q
q - 0.3
q + 0.3
0.3q
Look at the sequence. 4, -16, 64, -256, ... What is the variable expression that can determine the next term in the sequence?
A -4b
B b - 20
1 C
b
4 D -b + 12
9
Look at the following variable expression. 1 x + 2 Which sequence is described by the given variable expression?
1 1 1 , -2 , -2, -1, - , ...
2 2 2 1 1 1 B -2, -1 , -1, - , 0, , 1, ...
2 2 2 1 1 1 C -4, -4 , -5, -5 , -6, -6 , -7, ...
2 2 2 1 1 1 D -2, -2 , -3, -3 , -4, -4 , -5, ...
2 2 2 A -4, -3
10 Which sequence is geometric?
A 3, 7, 11, 15,...
B 2, 4, 6, 8,...
C 2, 6, 18, 54,...
D 35, 28, 21, 14,...
11 Which sequence is arithmetic?
A 11, 7, 4, 2,...
B 1, 4, 7, 10,...
C 3, 6, 12, 24,...
D 20, 10, 5, 2.5,...
12 Which sequence is geometric?
A 3, 6, 9, 12,...
B 2.5, 5, 7.5, 10,...
C 48, 12, 3, 0.75,...
D 16, 12, 8, 4,...
13 Which sequence is arithmetic?
A -4, -2, 2, 8,...
B 6, 1, -4, -9,...
C 5, 10, 20, 40,...
D 64, 16, 4, 1,...
14 What is the common difference in the sequence shown below? 22, 19, 16, 13,...
1 3 B -3
1 C
3 D 3
A -
15 The teacher shows her work when simplifying an expression. 5(4 - 2 + x) + 2 + 1 Step 1:
5(2 + x) + 2 + 1 Step 2:
10 + 5x + 2 + 1 Step 3:
5x + 10 + 2 + 1 Step 4:
5x + 12 + 1 Step 5:
5x + 13 Which step was a result of applying the distributive property?
A Step 1
B Step 2
C Step 4
D Step 3
16 Four students showed their work when simplifying expressions. Which student used the distributive property to simplify their expression?
A Ann
B Daniel
C Missy
D Juan
17 Trevor is asked to simplify this expression. 1 6 • + 5 - 8
6 Which property could Trevor use first when simplifying this expression?
A Additive identity property
B Additive inverse property
C Multiplicative identity property
D Multiplicative inverse property
18 Which equation represents the multiplicative inverse property?
1 )=9
3 2 B 0 ( )=0
3 1 C
(5)=1
5 1 D 7( )=7
7 A 3(
19 Which property does the equation illustrate? 8 • 0 = 0
A Commutative property for multiplication
B Multiplicative identity property
C Multiplicative inverse property
D Multiplicative property of zero
20 Sally wrote these steps when simplifying an expression. 24 + (10 + 16) Step 1: 24 + (10 +16) Step 2: (24 +10) + 16 Step 3: 34 + 16 Step 4: 50 Which property justifies step 2?
A Additive identity property
B Associative property of addition
C Commutative property of addition
D Distributive property
21 Which equation illustrates the commutative property for multiplication?
A 7 • ( 8 + 6) = ( 7 • 8 ) + ( 7 • 6)
B 7 • 1 = 7
C 7 • ( 8 • 6 ) = ( 7 • 8 ) • 6
D 7 • 8 = 8 • 7
22 Four students were asked to simplify an expression. Which student incorrectly applied the multiplicative identity property?
A Student 4
B Student 1
C Student 2
D Student 3
23 Students are asked to use the multiplicative identity property to simplify the following expression. Step 1: 1 + 7 • 1 - 2 Which expression illustrates the next step?
A 1 + 1 - 2
B 1 + 7 - 2
C 8 • 1 - 2
D 7 • 1 - 2
24 Which property is shown in the following number sentence? (4 • n) • 3 = 4 • (n • 3)
A Associative property of addition
B Associative property of multiplication
C Commutative property of multiplication
D Multiplicative property of zero
25 Which property is shown in the following number sentence? -5 + (4 + n) = (-5 + 4) + n
A
B
C
D
Associative property of addition
Commutative property of addition
Associative property of multiplication
Commutative property of multiplication