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Patterns
Contributed by: Basi
Describe the pattern using one variable:
  (3+9)-2=1+9
  (3+4)-2=1+4
(3+90)-2=1+90
Describe the pattern using one variable:
      15+2*15=3*15
         ⅓+2*⅓=3*⅓
47.1+2*47.1=3*47.1
Describe the pattern using one variable:
  5(3+8)=3*5+8*5
20(3+8)=3*20+8*20
-4(3+8)=3*-4+8*-4
Describe the pattern using one variable:
  4(3-2)=4*3-8
4(17-2)=4*17-8
4(-5-2)=4*-5-8
Describe the pattern using one variable:
      6-6+5=5
  39-39+5=5
4.2-4.2+5=5
Give the amount of money she will have left to
spend on advertising after 1, 2, and 3 weeks of advertising.
Pearl is starting a lawn mowing business. She plans to spend $1,200
on advertising during the first few weeks that she is in business.
Each week she spends $45 to place an ad in a newspaper.
Weeks
1
2
3
$
$
$
Amount
Write an algebraic expression for the amount she will have
left to spend after w weeks of advertising.
Weeks
1
2
3
Amount
$1065
$1155
$1110
1200+45w
1200-45x
1200-45w
1155-45w
Complete the table at right
for the number of tiles in
each term.
Consider the sequence created with square tiles shown below.
n
1
4
2
3
tiles
Consider the sequence created with square tiles shown below.
Write an algebraic expression for the number of
tiles needed for the nth term.
n
1
2
3
4
tiles
10
4
7
1
Consider the sequence created with square tiles shown below.
How many tiles are needed for the 20th term ?
n
1
2
3
4
tiles
10
4
7
1
Expression
3n-2
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