slopes and lines
linear intercepts and forms
sequences and series
arithmetic progressions
linear basics
100

what is the slope of the line passing through (2,5) and (4,11)

3

100

the x-intercept of the linear equation 3x - 4y = 12

(4,0)

100

the constant common difference in the decreasing sequence 25, 18, 11, 4,......


-7

100

the 15th term of the arithmetic sequence that begins with the numbers 4, 9, 14, and 19.

74

100

in standard slope-intercept form equation y = mx + b, this letter specifically represents the y-intercept

(b)

200

the slope-intercept equation of a line with the slope of -2 and a y-intersept of 4

y=-2x + 4

200

the equation of the vertical line passing through the point (-5,3)

x = -5

200

 the 1-th term of the arithmetic sequence 4, 7, 10, 13,.....

31

200

the total sum of the first 21 terms of the arithmetic sequence starting with 5, 8, 11, and 14.

673

200

this is the next number in the basic arithmetic sequence: 2, 4, 6. 8...

10

300

the slope of any line parallel to y= 2/3x - 7

2/3

300

The equation of the horizontal line passing through the point (-5,3)

y=3

300

the 6th term of the doubling geometric sequence 3, 6, 12, 24,...

96

300

if the 3rd term of an arithmetic sequence is 12 and its 7th term is 24, this is the common difference

3

300

what is the common ratio used to get the next term in the geometric sequence: 5, 10, 20, 40...

2

400

the slope of a line perpendicular to y = -4x + 1

1/4

400

the y intercept of the line given by the equation 2x+5y =20

(0,4)

400

the common ratio of the alternating geometric sequence 81, -27, 9, -3,....

-1/3

400

if f(x) = 2x -5 is a linear function, this is the value of k when the term f(k) equals 9

7

400

for the simple identity function f(x) = x this is the exact output value when the input x is equal to 9

9

500

the slope of the flat, horizontal line represented by y=7

0

500

the standard form equation Ax + By = C for the line Y= 3/4x -2 using integers

3x - 4y = 8

500

the finite sum of the infinite geometric series 10 + 5 + 2.5 + ...

20

500

the total number of terms contained within the finite arithmetic sequence 7, 11, 15, ..., 83.

20

500

this type of line on a graph goes straight up and down and has an undefined slope

a vertical line

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