Numerical Patterns and Graphing

A table is made using the following two patterns:

Pattern x starting at 7 uses the rule "Add 1"

Pattern y starting at 14 uses the rule "Add 2".

What are the second terms in the pattern?

• 8,18

• 9,16

• 6,12

• 8,16

Select all the statements that describe the 2 patterns.

• The rule for Pattern A is "multiply by 2"

• The rule for Pattern B is "add 18"

• Each term in Pattern A is 6 times the corresponding term in pattern B.

• Each term in Pattern B is 6 times the corresponding term in Pattern A.

Which input-output table and graph represent the numerical pattern y = x + 2.5?

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Jay’s teacher gave him an input number and a rule for a numerical pattern. Jay wrote an output number using the rule as shown in the table. Which statement about the pattern in Jay’s table is true?

• The pattern is additive because the input plus 246 equals the output.

• The pattern is multiplicative because the input times 3 equals the output.

• The pattern is additive because the input plus 75 equals the output.

• The pattern is multiplicative because the input times 2 equals the output.

Lyle learned that a hummingbird can beat its wings up to 70 times per second. He made the table shown to determine the number of times a hummingbird would beat its wings over several seconds.

Which statement about the numerical pattern in the table is true?

• The table shows an additive pattern because the number of beats is 69 more than the number of seconds.

• The table shows an additive pattern because the number of beats is 70 more than the number of seconds.

• The table shows a multiplicative pattern because the number of beats is 69 times the number of seconds.

• The table shows a multiplicative pattern because the number of beats is 70 times the number of seconds.

The ordered pairs for the points on the coordinate plane satisfy the equation y = 5x.

Which table shows other points that satisfy the equation y = 5x?

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Which statement about the numerical pattern in the table is true?

• The table shows an additive pattern because the pattern in the table follows the rule y = x + 13.

• The table shows a multiplicative pattern because the pattern in the table follows the rule x = 7.5y.

• The table shows an additive pattern because the pattern in the table follows the rule x = y + 13.

• The table shows a multiplicative pattern because the pattern in the table follows the rule y = 7.5x.

The ordered pairs for the points on the coordinate plane satisfy the equation y = x + 7.

Which table shows other points that satisfy the equation y = x + 7?

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Which input-output table and graph represent the numerical pattern y = 6x?

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Which statement about the pattern shown in the graph is true?

• The graph represents an additive pattern because it shows x = y + 3.

• The graph represents an additive pattern because it shows y = x + 3.

• The graph represents a multiplicative pattern because it shows y = 3x.

• The graph represents a multiplicative pattern because it shows x = 3y.