Flashcard 13

Front

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ... (Hint: Write the explicit rule first, then use it to solve)

Back

The 35th term is -146.

Tags

CCSS.HSF.BF.A.2

Front

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Back

The next three terms are 3, 12, 21.

Tags

CCSS.HSF.BF.A.2

Front

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

Back

C = 8m + 50

Tags

CCSS.HSF-BF.A.1A

Front

What is the rule for a reflection across the y = x line?

Back

(x, y) becomes (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

In slope intercept form (y=mx+b) what is the 'b'?

Back

The y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in an arithmetic sequence?

Back

The constant amount that each term increases or decreases by.

Tags

CCSS.HSF.BF.A.2

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5