Word Problems
Uniform Motion
Factoring
Linear Equations
Polar!
100

If half the product of a number and 5 is 16 more than half the number, find the number.

8

100

Two travelers were 275 miles apart at 2:00 pm and were headed toward each other.  If they met at 4:30 pm and one was traveling 10 miles per hour faster than the other, what was the speed of each traveler.

50 mph and 60 mph

100

Solve:

x3-3x2-18x=0

0, 6, -3

100

Find the equation of the line that is perpendicular to

 42x-7y=-7 

and passes through the point (0,6)

y=-1/6x+6

100

In which quadrant can you find the polar point, 

134angle-125

quadrant IV

200

Find 3 consecutive odd numbers such that one half the sum of the first and the third is 15 less than double the second.

13, 15, 17

200

At noon a horse and buggy headed north at 10 miles per hour.  Two hours later, the roadster headed south from the same location at 30 miles per hour.  At what time will the horse and buggy be 90 miles apart? 

3:45 pm

200

solve 49y2-81=0

9/7, -9/7

200

Find the equation of a line that goes through the following two points: (-4, -5) and  (6, 1).

y=3/5x-13/5

200

Convert the following polar coordinate to rectangular:

15angle190

(-14.77, -2.6)

300

The advertisement of a huge sale cause the number of shoppers to increase by 150 percent.  If 318 shoppers came before the advertisement, how many were there after the advertisement

795

300

Regina cycled 4 times as fast as her challenger. In fact she cycled 80 miles in 2 hours less than it took her challenger to cycle 30 miles.  How fast did each of them cycle? 

5 mph and 20 mph

300

Solve the following equation:

x2-5x=24

-3, 8

300

Find the equation of a line that passes through points (5, 2) and  (5, -7)

x = 5

300

find the location of the sum of the following vectors:

20angle30 and 10angle80

(19.05, 19.85)

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