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Arithmetic Sequence

100

5, -7, -19, . .  the equation that represents the sequence

a_n = 5 -12(n - 1)

200

The equation represented by the sequence:  56, 60, 64...

a_n = 56+ 4(n - 1)

300

The 43 term in the sequence 32, 51, 70, ..... 

a₄₃ = 830

400

The 51st term of the sequence 8, -15, -38, . . . 

n₅₁ = -1142

500

Next 3 terms of the arithmetic sequence  3/7, 1, 11/7 . . .

15/7, 19,7, 23/7

Direct Variation

100

If x ivaries directly as y, find the equation when x is 12 when y is 8, what is the equations repressented?

y = 2/3 x

200

y varies directly as x. If x = 5 when y = 12 find x when 30 y =

x = 12.5

300

Heather’s weekly pay is directly proportional to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work.

$290

400

At top speed, a rabbit can cover 7 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert?

377.14 minutes

500

 A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads?

156 gallons

Clearing Fractions

100

1/5( x + 7) - 3 = 2/3 

34/3

200

3/4x + 4 = 2/5

-24/5

300

5/3(2x -4) + 8 = 1 - 1/4 x

-4/43

400

3(2/3x + 7) = 4/3

-59/6

500

2x - (1/3 + 5x) = 2/5( 3x - 2) + 1

-8/63

Equations of Lines

100

The equation of the line in SIF that has a slope of 4/5 and goes through (5, 3).

y = 4/5 x - 1

200

The equation of the line in SIF that has a slope of -3/5 and goes through (-5, -3).

y = -3/5 x - 6 

300

The equation of the line in SIF that is parallel to y = 5x -6 and goes through (2, -3).

y = 5x - 13

400

The equation of the line in SIF that is perpendicular to y = 5x -6 and goes through (2, -3).

y = -1/5 x - 13/5

500

The equation of the line in SIF that is perpendicular to  to x = -6 and goes through (2, -3).

y = -3

Wild Card

100

|2x - 3| + 5 = 15

-7/2 and 13/2

200

2/3 |3x + 6| - 4 > 1 give answer in interval notation

(-inf, -9/2) u (1/2, inf)

300

-3| x + 7| + 9 = 12

No solution

400

If a linear regression has a correlation coefficient of -0.8 what will the graph look like and what does it mean?

Data points will be in a downward pattern relatively close together

500

What college did your teacher receive her degree from?

Ottawa University in Ottawa, Kansas