Front

What is a linear pattern?

Back

A linear pattern is a sequence of numbers in which the difference between consecutive terms is constant. For example, 2, 4, 6, 8 is linear because each term increases by 2.

Tags

CCSS.HSF.BF.A.2

Front

What is an exponential pattern?

Back

An exponential pattern is a sequence of numbers where each term is multiplied by a constant factor to get the next term. For example, 2, 4, 8, 16 is exponential because each term is multiplied by 2.

Tags

CCSS.HSF.BF.A.2

Front

How do you identify a linear function from a set of values?

Back

A linear function can be identified if the differences between consecutive values are constant. For example, in the sequence 4, 12, 20, 28, 36, the differences are all 8.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the formula for a linear function?

Back

The formula for a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How can you find the next term in a linear sequence?

Back

To find the next term in a linear sequence, add the common difference to the last term. For example, if the last term is 20 and the common difference is 8, the next term is 20 + 8 = 28.

Tags

CCSS.HSF.BF.A.2

Front

What is a common difference in a linear sequence?

Back

The common difference is the constant amount that each term increases or decreases by in a linear sequence.

Tags

CCSS.HSF.BF.A.2

Front

How do you determine the rule for an in-and-out table?

Back

To determine the rule for an in-and-out table, look for a consistent pattern in how the output changes with the input. For example, if the input increases by 1 and the output increases by 3, the rule is 'add 3'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant factor. Linear growth is steady, while exponential growth accelerates.