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Math 6
Patterns, Functions & Algebra
Using the representations below, which correctly represents the following number
sentence if each scale is balanced?5 + x = 7
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. AB. BC. CD. D
A. B.
C.D.
Look at the equation mat. What is the value of x ?
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. 11B. 7C. 3D. 2
Look at the table. Which rule does Patrick’s pattern follow?
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. Add 110 to the term to get the value.
B. Multiply 11 by the term to get the value.
C. Double the term to get the value.
D. Square the term to get the value.
Which pattern would be the result of a rule in which two triangles always follow a square, and
a circle can only appear after every fourth triangle?
A B C D
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. AB. BC. CD. D
A.
B.
C.
D.
What value of p will make the following number sentence true?14 p = 182
13168
1962548
25% 25%25%25%
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A. 13B. 168C. 196D. 2,548
Look at the table. Which rule best describes the relationship between all the x and y values
in the table?
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. Add 2 to the x-value to get the y-value.
B. Subtract 14 from the y-value to get the x-value.
C. Divide the y-value by 2 to get the x-value.
D. Multiply the x-value by 3 to get the y-value.
Tammy wrote the following values for powers of 10.102 = 100
103 = 1 000104 = 10 000
105 = 100 000Based on the pattern, which is equivalent to
100,000,000 ?
106107
108109
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. 106
B. 107
C. 108
D. 109
Which is an equation?
A B C D
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. A
B. B
C. C
D. D
Jeff multiplied each term in the pattern below by the same number.1, 4, 16, 64
If the pattern continues, what will be the 6th term?
84112
2561024
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. 84B. 112C. 256D. 1024
405,135,45,15Dylan began his number pattern with 405. To
determine each new number in the pattern, he performed the same operation on the previous
number. Which operation could have been used for the pattern?
Divi
de by 3
Multi
ply by 3
Subtra
ct 270
Divi
de by 5
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. Divide by 3B. Multiply by 3C. Subtract 270D. Divide by 5
A variable is –
the numeric
al ...
a math
ematical...
a symbol u
sed ...
a number in an...
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. the numerical factor in a termB. a mathematical sentence stating
that two expressions are equalC. a symbol used to represent an
unspecified member of a setD. a number in an expression of
sums and/or differences
Based on the pattern shown, what is the value of 66?
13082592
3600046656
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. 1,308B. 2,592C. 36,000D. 46,656
Which is an equation?
1 2 3 4
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. 1
B. 2
C. 3
D. 4
Which is a perfect square between 81 and 121?
86 99100
114
25% 25%25%25%
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A. 86B. 99C. 100D. 114
What value of z makes the number sentence shown true? z + 53 = 92
4876145 49 39
25% 25%25%25%
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A. 4,876B. 145C. 49D. 39
A pattern is made by repeating the four shapes shown below. If the pattern continues in the same
way, what will be the 14th shape?
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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A. AB. BC. CD. DA. B. C. D.
Which best describes the circled part of the following?
Variable
Coefficie
nt Term
Equati
on
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A. VariableB. CoefficientC. TermD. Equation
Miss Jackson wrote this number sentence on the board. Which procedure could be used to find a value for x that will make the number
sentence true?
Subtra
ct 7 fr
o...
Multi
ply 7x by...
Divi
de 7x by 7...
Add 7 to 7x,
a...
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. Subtract 7 from 7x, and subtract 7 from 36.B. Multiply 7x by 7, and multiply 36 by 7.C. Divide 7x by 7, and divide 36 by 7.D. Add 7 to 7x, and add 7 to 36.
The drawing below is a scale that is balanced. Each represents an x, and each represents
a 1. Which best represents the drawing?
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A. 3 + x = 21B. 3 + x > 21C. 3x > 21D. 3x = 21
The first term in the following pattern is 1.1, 7, 19, 43, 91
If the pattern continues in the same way, which rule could be used to get the next
term in the pattern?25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. Multiply by 2, and then add 5.B. Add 12.C. Multiply by 3, and then add 4.D. Add 6.
Luanne stacked some checkers in a triangular shape as pictured. Each row has 1 less checker than the previous row. Luanne made another stack using the same pattern starting with 8 checkers in the bottom row. How many total checkers
were in her new stack?
19 check
ers
21 check
ers
29 check
ers
36 check
ers
25% 25%25%25%
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
A. 19 checkersB. 21 checkersC. 29 checkersD. 36 checkers