Additive & Multiplicative Patterns

Front

What is an additive pattern?

Back

An additive pattern is a sequence of numbers where each term is obtained by adding a constant value to the previous term.

Front

What is a multiplicative pattern?

Back

A multiplicative pattern is a sequence of numbers where each term is obtained by multiplying the previous term by a constant value.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you identify an additive relationship from a table?

Back

An additive relationship can be identified if the difference between consecutive y-values is constant.

Front

How do you identify a multiplicative relationship from a table?

Back

A multiplicative relationship can be identified if the ratio of consecutive y-values is constant.

Front

What is the slope in the equation y = 5x?

Back

The slope is 5, indicating that for every 1 unit increase in x, y increases by 5 units.

Front

What is the y-intercept in the equation y = x + 4?

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

If y = 3x, what is the value of y when x = 2?

Back

y = 3(2) = 6.

Front

What is the difference between additive and multiplicative patterns?

Back

Additive patterns involve addition of a constant, while multiplicative patterns involve multiplication by a constant.

Front

What does it mean if a graph has a positive slope?

Back

A positive slope indicates that as x increases, y also increases.