Patterns and Relationships

The first number in Pattern 1 is 6. The rule for the pattern is "multiply by 3." The first number in Pattern 2 is 25. The rule is "subtract 5." What are the first three numbers in each pattern?

• Pattern 1: 6, 18, 54

  Pattern 2: 25, 20, 15

• Pattern 1: 6, 9, 18

  Pattern 2: 25, 30, 35

• Pattern 1: 6, 18, 54

  Pattern 2: 25, 15, 5

• Pattern 1: 6, 18, 36

  Pattern 2: 25, 20, 15

Lucy created the table. Which best describes the patterns of x- and y-values shown in the table?

• The x-values increase following the rule "multiply by 4," while the y-values increase following the rule "multiply by 2."

• The x-values increase following the rule "multiply by 4," while the y-values are twice the x-values.

• The x-values increase following the rule "multiply by 2," while the y-values increase following the same rule.

• The x-values increase following the rule "multiply by 2," while the y-values are twice the x-values.

The first number in a number pattern is 7. The rule for the pattern is "Multiply by 2." What are the first five numbers in this pattern?

• 7, 9, 11, 13, 15....

• 7, 9, 18, 36, 72....

• 7, 14, 21, 28, 35....

• 7, 14, 28, 56, 112....

The table shows how the heights of two trees are changing over time. Which best describes the relationship shown in the table?

• Tree X growing 2 feet more each year than tree Y.

• Tree Y is growing 1 foot more each year than tree X.

• The height of tree X is 3 feet greater than the height of tree Y every year.

• The height of tree Y is 2 feet greater than the height of tree X every year.

• A

• B

• C

• D

• A

• B

• C

• D

ANSWER THE QUESTION.

• A

• B

• C

• D

The points on the graph represent a numerical pattern.

Which statement about the pattern represented on the graph true?

• It is a multiplicative pattern because each y-coordinate has a higher value than the corresponding x-value.

• It is a multiplicative pattern because each x-coordinate is multiplied by 5 to create the corresponding y-coordinate.

• It is an additive pattern because each y-coordinate has a higher value than the corresponding x-value.

• It is an additive pattern because each x-coordinate is increased by 4 to create the corresponding y-coordinate.

The table below shows the number of pages and the approximate number of words in several books. Use the table to determine the type of association exists between these two variables. 

• Positive Association

• Negative Association

• No Association

• Not enough information to tell

Mark is slicing oranges. The table shows how the number of slices is related to the number of oranges. Which best describes the relationship shown in the table?

• The number of slices is 4 times the number of oranges.

• The number of slices is 8 times the number of oranges.

• The number of slices is 4 more than the number of oranges.

• The number of slices is 6 more than the number of oranges.