Name: _________________________
Block: ____________________
Date: ____________________
Math 6: Study Guide UNIT 5
Equations
Section 1: Sequences
Match each word to the correct definition.
______1.) Term
______2.) Common Difference
______3.) Arithmetic Sequence
______4.) Sequence
______5.) Geometric Sequence
______6.) Common Ratio
A) a set of numbers
arranged in a special
order
B) number sequence in
which each consecutive
term is found by adding
the same number
C) number sequence in
which each consecutive
term is found multiplying
by the same number
D) number added to each
term in an arithmetic
sequences
E) number that each
term is multiplied by in a
geometric sequence
F) each of the numbers in
a sequence
Name: _________________________
Block: ____________________
Date: ____________________
7.) Give the next three terms of the given sequence:
2, 8, 32, _____, _____, _____
Circle the type of sequence:
Arithmetic
Geometric
Neither
Circle the type of pattern and list it on the line:
Common Ratio ________________________________________
Common Difference ____________________________________
Other Pattern _________________________________________
8.) Give the next three terms of the given sequence:
82, 78, 74, _____, _____, _____
Circle the type of sequence:
Arithmetic
Geometric
Neither
Circle the type of pattern and list it on the line:
Common Ratio ________________________________________
Common Difference ____________________________________
Other Pattern _________________________________________
Name: _________________________
Block: ____________________
Date: ____________________
9.) Give the next three terms of the given sequence:
1, 1, 2, 3, 5, _____, _____, _____
Circle the type of sequence:
Arithmetic
Geometric
Neither
Circle the type of pattern and list it on the line:
Common Ratio ________________________________________
Common Difference ____________________________________
Other Pattern _________________________________________
10.) Jamie is using the numerical pattern 2.75, 7.75, 12.75,
17.75… to create a similar pattern. Starting with any
number you choose, use the same pattern to create a
sequence with five terms.
________ ,
________ ,
________ ,
________,
________
Name: ___________________
Block: __________________
Date: _____________________
Section 2: Equations
Solve each equation. Check your solution. Graph your
answer.
11.) x + 2 = 8
12.) 17 = m + 9
13.) 5 = c – 4
Check:
Check:
11.)
Answer __________
12.)
Answer __________
Check:
13.)
Answer __________
Name: ___________________
14.)
n–7=2
Block: __________________
Date: _____________________
Check:
14.)
Answer ___________
15.) 5b = 40
Check:
15.)
Answer ___________
16.)
18 = 2f
Check:
16.)
Answer ___________
Name: ___________________
17.)
18.)
Block: __________________
y=2
3
2=n
4
Check:
17.)
Answer ___________
Check:
Answer the following questions.
19.)
A.
B.
C.
D.
Which is an equation?
52 = 0.5 + x
5x + 7
(48-6x) + 13
½x+7
Date: _____________________
18.)
Answer ___________
Name: ___________________
Block: __________________
Date: _____________________
20.) What value of z makes the number sentence shown
true?
z + 53 = 92
A.
B.
C.
D.
4,876
145
49
39
21.) Which best describes the circled part of the following?
2x+5=9
A.
B.
C.
D.
Variable
Coefficient
Term
Equation
22.) Miss Jackson wrote this number sentence on the board.
7x = 36
Which procedure could be used to find a value for x that will
make the number sentence true?
A.
B.
C.
D.
Subtract 7 from 7x, and subtract 7 from 36
Multiply 7x by 7, and multiply 36 by 7
Divide 7x by 7, and divide 36 by 7
Add 7 to 7x, and add 7 to 36
Name: ___________________
23.)
24.)
Block: __________________
Date: _____________________
Name: ___________________
Block: __________________
Date: _____________________
Express whether the following is an expression, equation,
or inequality.
25.)
5x + 12
______________________________________
26.)
3x > 1
______________________________________
27.)
x–5=2
______________________________________
28.)
14x
______________________________________