Linear Tile Patterns short

Front

What is a linear tile pattern?

Back

A linear tile pattern is a sequence of tiles arranged in a straight line, where the number of tiles can be described by a linear equation.

Front

What does the equation y = x + 3 represent in a tile pattern?

Back

The equation y = x + 3 indicates that for every figure number x, the total number of tiles y increases by 3.

Front

How do you determine the number of tiles in Figure 0?

Back

To determine the number of tiles in Figure 0, you can substitute x = 0 into the equation that describes the pattern.

Front

What is the significance of Figure 0 in tile patterns?

Back

Figure 0 often represents the starting point or the initial condition of the tile pattern, indicating how many tiles are present before any figures are added.

Front

What is the rule for the tile pattern if the equation is y = 2x - 1?

Back

The rule y = 2x - 1 means that for every figure number x, the total number of tiles y is twice the figure number minus one.

Front

How can you find the total number of tiles for any figure number using an equation?

Back

You can find the total number of tiles by substituting the figure number into the equation that relates the figure number to the total number of tiles.

Front

What does the equation y = 3x + 4 indicate about the tile pattern?

Back

The equation y = 3x + 4 indicates that for every figure number x, the total number of tiles y increases by 3, starting from 4 tiles.

Front

What is the relationship between figure numbers and total tiles in linear patterns?

Back

In linear patterns, the relationship between figure numbers and total tiles is typically represented by a linear equation, showing a constant rate of change.

Front

How do you interpret the slope in a linear tile pattern equation?

Back

The slope in a linear tile pattern equation indicates the rate at which the number of tiles increases as the figure number increases.

Front

What is the y-intercept in the context of tile patterns?

Back

The y-intercept in tile patterns represents the number of tiles present when the figure number is zero.