Find The Rule
Extend the Pattern
Use the Rule
Algebra
T-Tables
100

4, 7, 10, ___

Start at 4 and increase by 3

100

2, 5, 8, 11, ___, ____, ____, 

14, 17, 20 (+3)

100

Start at 7 and increase by 8 

____, _____, _____, _____

7, 15, 23, 31 

100

In 2m - 4 = 6, the 2 is the ________?

Coefficient 

100

In:      out:             And what is the pattern rule?

4        10 

7        13

9        ____

16      ____

15, 22 

(n + 6) 

200

25, 19, 13, __

Start at 25 and decrease by 6

200

25. 21, 22, 18, 19, ___, ____, ____.

15, 16, 12, 8 (alternately - 4, +1)

200

Start at 77, decrease by 11

___, ___, ___, ___, 

77, 66, 55, 44

200

translate the following into an expression/equation:


Seven less than a number 

A number less than 9 is 2

n-7 , 

9 - n = 2

200

In:   Out:           And the rule?

1       6

2      11

3      16 

10    _____

100   _____

51, 501 (5n +1) 

300

8, 10, 9, 11, 10, 12, ___

Start at 8 and alternately increase by 2 then decrease by 1

300

83, 79, 75, 71, ____, ____, ____

67, 63, 59 (-4)

300

Start at 12, alternately increase by 5, then decrease by 3 

_____, _____, _____, _____,

12, 17, 14, 19

300

Collect like terms: 


m + 3m + 6n -2n 

4m + 4n 

300

In:     Out: 

22       11

44       33

___     66

99     ____

77, 88 (n-11)

400

2, 4, 8, 16, _____

Start at 2 and multiply by 2

400

4, 8, 12, 16, ___, _____, ____, 

20, 24, 28 (next multiple of 4) 

400

Start at 46, increase by 50

____, _____, _____, _____,

46, 96, 146, 196 

400

Solve for m

4m - 5 + 2 = 29

m= 9

400

In:   Out: 

1      5

2     9

3     13 

8    ____

22    ____

33, 89, (4n + 1) 

500

9, 10, 12, 15, 19, ____

Start at 9, add one, then add one more each term 

500

44, 55, 45, 56, ____, ____, ____. 

46, 57, 47 (alternately +11, -10)

500

Start at 3, alternately increase by 2, then multiply by 2 

_____, _____, _____, _____.

3, 5, 10, 12 

500

Write the algebraic equation for each word problem, then solve. 

Mike spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 13 dollars. 

n/2 +7 = 13

n= 12  

500

In:    Out: 

3       10 

6       13

49     ___

___   117 

56, 110 (n + 7) 

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