sample quiz 15 FALL'11 TEST 3 REVIEW

5.7

1. A number is 6 less than its square. Translate.

ax2 = x -6

bx = x2 - 6

cx = x - 6

dnota

2. Solve the equation for x in  the previous problem.

ax = -3 or 2

bx = -3 or -2

cx = 3 or -2

dnota

3.  A triangle is 10 cm wider than it is tall . The area is 28 cm2.  Translate:

a28 = (1/2)(h + 10)h

b28 = (1/2)(10)h

c28 = (1/2)(b + 10)h

dnota

4. Find the height h and the base b in the previous problem.

ah = -4 and b = 14

bh = 4 and b = 14

ch = 4   and b = -14

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5. Written problem. 6.1. Factor and simplify.

6.1

6. Simplify. 75a50/50a30

a3a5/3/2

b3a20/2

c3a50/30/2

dnone of the above

7. (x2    -  10x  + 21)/(x2   -  11x  + 28)

a(x  -  3)/(x  -  4)

b(x  -  6)/(x  -  4)

c(x  -  4)/(x  -  3)

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6.2

8. Simplify.

ax3(x -1)/2

bx2(x -1)/5

cx3(x -1)/5

dnota

9.

a5/x(x -1)

b5/x(x +1)

c5/x3(x -1)

dnota

6.3

10.  Find the LCM of  12a2b7   and 18a5b2

a216a5b7

b36a5b7

c36a2b2

dnota

6.4

11.  Add .  (x - y)/xy2   +   (3x - y)/x2y

a[y(x - y)  -   x(3x - y)]/x2y2

b[x(x - y)  -   y(3x - y)]/x2y2

c [x(x - y)  +   y(3x - y)]/x2y2

dnota

6.5.

12.  Simplify.

a(x + x)/(2 - 3)

b(2x -  3)/(x + 1)

c(x  +  1)/(2x - 3)

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13. Simplify.

a2

b1

c0

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14. Simplify. Worth 0.5 point

a 1

b(2y + 3x)/(x + 2y)

c(2y + 3x)/(2x + y)

dnota

6.6

15. Solve.  Worth 0.5 point.   x + 7/x = -8

ax = 7 or  1

bx = -7  or 1

cx = -7 or -1

dnota

Written problems.

16.   6.6. Worth  0.5 point. Solve . 5/(x + 1) = 3/(x - 2)

17.   6.7. Worth 0.5 point. Juanita can build   a small shed in 7 hours and Anton can build the same shed in 10 hours. How long would it take to build one if they worked together ?