5.4C Generating a Numerical Pattern When Given a Rule

Front

What is a numerical pattern?

Back

A numerical pattern is a sequence of numbers that follows a specific rule or formula.

Front

What does the equation y = x + 3 represent?

Back

It represents a linear relationship where for every value of x, y is 3 more than x.

Front

How do you generate a numerical pattern from a rule?

Back

You start with a number and apply the rule repeatedly to find the next numbers in the pattern.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point on a graph, written as (x, y).

Front

If Bryan bought 4 comic books, how many did Joanne buy if she bought 6 more?

Back

Joanne bought 10 comic books (4 + 6 = 10).

Front

What is the rule for the pattern: 2, 4, 6, 8?

Back

The rule is to add 2 to the previous number.

Front

What does the term 'input-output table' mean?

Back

An input-output table shows how each input value relates to an output value based on a specific rule.

Front

If y = 2x, what is y when x = 5?

Back

y = 10 (2 * 5 = 10).

Front

What is the difference between a linear equation and a non-linear equation?

Back

A linear equation forms a straight line when graphed, while a non-linear equation forms a curve.

Front

How can you check if a set of ordered pairs fits a given equation?

Back

Substitute the x values into the equation and see if the resulting y values match.