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Mathematics 141 Practice quiz 3
Solving 1st degree equations
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[1] What value of x solves the equation:   -2(x + 17) = 13 - x
  x =  

[2]
What value of x solves the equation: 1
4
- 1
5
= x
2
?
  x =  

[3] If the circumference of the earth is 25,000 miles, and if a satellite travels 26,000 miles in each circular orbit, then how high is the satellite above the earth's surface (to the nearest mile)?
  (a) 6
(b) 500
(c) 62,832
(d) 1000
(e) 159
[4] What value of x solves the equation: 3x + 2y = x - 4y - 6  
  (a) (2/3)y - 1
(b) 2y - 6
(c) -8
(d) -3y - 3
(e) (3/2)y - 2
(f) none of the above
[5] Check the compound inequality which has the graph shown below:
  (a) -3 > x > 3
(b) x < -3 or x > 3
(c) x > -3 or x < 3
(d) x > -3 and x < 3
(e) x < 3 and -3
[6] Starting with " 4x < -8 ", what results when both sides are multiplied by (-¼) ?
  (a) -x > -2
(b) -x < -2
(c) -x > 2
(d) -x < 2
(e) none of the above
[7] Read the problem in the box below
 
Laura drove south 90 miles from Milwaukee to Chicago, and then returned north 90 miles later that day. Her total driving time was 6 hours, but due to rush-hour traffic, the average northbound speed was only half the average southbound speed. What was Laura's southbound speed?
  In answering the above question by algebra, how should we define the variable x ?
  (a) Let x = Laura's speed
(b) Let x = Laura's southbound distance
(c) Let x = Laura's southbound speed
(d) Let x = Laura's total driving time
(e) Let x = 90 miles
[8]
A rectangular pasture is surrounded by 1000 meters of fence. If the width of the pasture is 162 meters more than its length, what is the width of this pasture ?
  Enter (in the box at the right) the width of the pasture:
[9]
Enter the two values of x which solve the equation: | x - 2 | = 1     x =   or x =
[10]
A rectangular pasture is surrounded by 1000 meters of fence. If the width of this pasture is 325 meters, then what is its length?
325
 
  Enter (in the box at the right) the length of the pasture:

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