1. PSSA Math Practice Lesson 21 Rules for Patterns D.1.1.2 Find missing elements in numeric or geometric patterns and/or functions (maybegiven a table or rule--pattern must show 3 repetitions. D.1.1.3 Determine the rule of a function (given elements in an input-output table, chart or list--limit to linear functions). 010203040 506070 8090100

2. ªYou can use numbers and variables to write rules for patterns. ª You can use numbers and variables to write rules for patterns. The number pattern may be given in a list, chart, or table, such as an x/y table. 0 1 235 6 5 3 2 678

3. 0 1 235 6 5 3 2 678 Write an equation that represents the relationship of x and y.

4. Which equation means the same as "a number n times 7 less 30 equals z"? n x 30 - 7 = z n + 7 x 30 = z n x 7 + 30 = z n x 7 - 30 = z

5. Consider the following table of values: Which equation represents the relationship of x to y? y = x + 3 y = 3x y = 4x - 1 x = y - 4

6. 10 According to the following table of values, which equation represents the relationship of s to t? t + 2 = s - 2 t - 2 = s s + 2 = t s - 2 = t

7. Which function describes the pattern in the table below? y = x - 3 y = x + 3 y = 2x - 5 y = x 2 - 3

8. Consider the following table of values: Which equation represents the relationship of x to y? y = 4x + 2 y = 4x - 2 y = 3x + 4 y = 2x + 6 10 0 18 1 235 62 6 22 26

9. Which rule applies to the following table? y = 6x - 1 y = 6x + 1 y = 3x - 2 y = 2x + 3 1311 1 11 33 5 5 7

10. Consider the following table of values: Which equation represents the relationship of x to y? y = 6x -1 y = 5x + 1 y = 5x -1 y = x + 5 x y 0 1 1 6 2 11 3 16 4 21 5 26 6 31

11. Which number is missing from the following table? 8 10 11 12 x y 0 3 1 5 2 7 3 9 4 ?

12. Which number is missing from the following table? 18 20 21 24 x y 1 3 2 6 3 11 4 ? 5 27