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18.2

Activity

Refer to the first table.

step	0	1	2	3	4	5	6
value	10	30	90	270
expression

Predict the value in Steps 4, 5, and 6.
By what factor does the value change between each of these steps?
1. from Step 1 to Step 4
2. from Step 3 to Step 6
3. Conjecture about the factor from Step 7 to Step 10.
By what factor does the value change between each of these steps?
1. from Step 0 to Step 5
2. from Step 1 to Step 6
3. Conjecture about the factor from Step 10 to Step 15.

Refer to the second table.

step	0	1	2	3	4	5	6
value	3	6	12	24
expression

Predict the value in Steps 4, 5, and 6.
By what factor does the value change between each of these steps?
1. from Step 1 to Step 3
2. from Step 3 to Step 5
3. Conjecture about the factor from Step 10 to Step 12.
By what factor does the value change between each of these steps?
1. from Step 0 to Step 3
2. from Step 2 to Step 5
3. Conjecture about the factor from Step 10 to Step 13.

Refer to the third table.

step	0	1	2	3	4	5	6
value	2,048	1,024	512
expression

Predict the value in Steps 4, 5, and 6.
By what factor does the value change between each of these steps?
1. from Step 1 to Step 3
2. from Step 3 to Step 5
3. Conjecture about the factor from Step 10 to Step 12.
By what factor does the value change between each of these steps?
1. from Step 0 to Step 3
2. from Step 2 to Step 5
3. Conjecture about the factor from Step 10 to Step 13.

18.3

Activity

For each given expression, decide what to write in the boxes to create equal expressions.

given expression	equal expression 1	equal expression 2

Write at least 3 new expressions that are equal to .