Patterns and Relationships

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.

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.

Two number patterns are shown in this table.What numbers are missing from the last row of the table?

• 85 and 76

• 85 and 79

• 88 and 76

• 88 and 79

The table shows five ordered pairs. Which graph shows these ordered pairs?

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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

Look at the table below.

• (55, 44)

• (66, 44)

• (66, 55)

• (77, 66)

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.