PSSA Math PracticePSSA Math Practice

Lesson 21 Rules for PatternsLesson 21 Rules for Patterns

D.1.1.2 Find missing elements in numeric or D.1.1.2 Find missing elements in numeric or geometric patterns and/or functions (maybegiven a geometric patterns and/or functions (maybegiven a table or rule--pattern must show 3 repetitions.table or rule--pattern must show 3 repetitions.D.1.1.3 Determine the rule of a function (given D.1.1.3 Determine the rule of a function (given elements in an input-output table, chart or list--limit elements in an input-output table, chart or list--limit to linear functions).to linear functions).

0 10 20 30 40 50 60 70 80 90 100

ªª You can use numbers and You can use numbers and variables variables to write rules for patterns. to write rules for patterns. The number pattern may be given in a list, chart, or table, such The number pattern may be given in a list, chart, or table, such as an x/y table.as an x/y table.

0 1 2 3 5 6

532 6 7 8

0 1 2 3 5 6

532 6 7 8

Write an equation that represents the relationship of Write an equation that represents the relationship of xx and and yy..

Which equation means the same as "a Which equation means the same as "a number number nn times 7 less 30 equals times 7 less 30 equals zz"?"?

n x 30 - 7 = z

n + 7 x 30 = z

n x 7 + 30 = z

n x 7 - 30 = z

Consider the following table of values:Consider the following table of values:

Which equation represents the relationship of x to y?Which equation represents the relationship of x to y?

y = x + 3

y = 3x

y = 4x - 1

x = y - 4

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

Which function describes the pattern in the table below?

y = x - 3

y = x + 3

y = 2x - 5

y = x2 - 3

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 2 3 5

62

6

22 26

Which rule applies to the following table?

y = 6x - 1

y = 6x + 1

y = 3x - 2

y = 2x + 3

13 111

11 33

5

5

7

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

y0

1

1

6

2

11

3

16

4

21

5

26

6

31

Which number is missing from the following table?

8

10

11

12

x

y

0

3

1

5

2

7

3

9

4

?

Which number is missing from the following table?

18

20

21

24

x

y

1

3

2

6

3

11

4

?

5

27