1. (-10x^3 + 30x -20) divided by (-5x+5)?
a)2x^2-2x+4****
b)-2x^2-2x-4
c)-2x^2+2x+4
d)2x^2+2x-4

2.The width, w, of a rectangular playground is x + 3. The area of the garden is x^3 - 7x + 6. What is an expression for the length of the playground?
a.) x^2 - 3x + 2 ***
b.) x^2 + 3x - 2
c.) x^2 + 3x + 2
d.) x^2 - 3x - 2

3.Katalin drove 180 miles on her vacation. She drove an average of 1.5 times faster on the second 90 miles of?
a)150/x****
b)300/x
c)150x
d)225/x

4.A catering company charges a \$300.00 set up fee and \$10.00 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is \$14.00? (1 point)
• 75 people*****
• 30 people
• 214 people
• 440 people

5.Simplify x/6x-x^2
a)1/6-x ; where x=0.6
b) 1/6-x; where x=6***
c)1/6x; where x=0
d)1/6

6. 5x^3/7x^3+x^4
a)5/7+x; where x= 0,-7****
b)5/7+x; where x=-7
c)5/7x; where x=0
d)5/7

7.x-2/x^2+4x-12
a)1/6+x; where x=-6***
b)1/6+x; where x= -6, 2
c) 1/x+2; where x=-2
d) x+2

8. x^2+3x-4/x+4
a)1/x-4; where x= 4
b) x-4
c) x-1; where x=1****
d) x-1; where x=-4

9.3/5a*1/a^2
a)3/5a^2; where a = 0
b)3/5a^2
c)3/5a^3 where a=0****
d)4/5a^2 where a=0

10.x-5/4x+8*(12x^2+32x+16)
a)(3x+2)/4(x-5)***
b)(x-5)(3x+2)/4
c)(x-5)(3x+2)
d)(x-5)(12x+8)

11.(x^2-4/x-8)/x-2
a)(x-2)(x+2)/x-8
b)x-8/x+2
c)x-2/x-8
d)x+2/x-8***

12.x^2+2x+1/x-2/x^2-1/x^2-4
a)(x+1)(x+2)/x-1
b)(x-1)(x-2)/x+1
c)(x-1)(x+2)/x+1
d)(x+1)(x-2)/x-1***

13. (24w^10+8w^12)/(4w^4)
a)6w^6+2w^8***
b)6w^6+8w^12
c)24w^10+2w^8
d)6w^10+2w^12

14.(-5w^10+10w^8+5w^6)/(5w^5)
a) -w+5w^3+w
b)-5w^5+10w^8+w
c)-w^5+10w^8+5w^6
d)-w^5+2w^3+w***

15.-5x/x+3-7/x+3
a) -5x/x+3-7/x+3***
b)-5x-7/(x+3)
c)-5x-7/(x-3)^2
d)-5x+7(x+3)^2

16.-2/x+3-4/x-5
a)-6x-2/(x+3)(x-5)***
b)6(x-1)/(x+3)(x-5)
c)-6/(x+3)(x-5)
d)2/(x+3)(x-5)

17. 7/x-3+3/x-5
a)-10x-44/(x-3)(x-5)
b) 10x-44/(x-3)(x-5)***
c) 10x/(x-3)(x-5)
d) 10x+44/(x-3)(x-5)

18.-5/x-3 - -4/x+2
a)-1/(x-3)(x+2)
b)-x-22/(x-3)(x+2)****
c)-1/x-5
d) -22/ (x-3)(x+2)

19. 4/x+5/x=-3
a)x=27
b)x=3
c)x=13
d)x=-27

20. 1/3x-6- 5/x-2=12
a)34/9
b)-29/18
c)-34/9
d)29/18**

21. 4/x+12/x^2=5
a) x=6/5,2
b)x= -6/5, -2
c) x=6/5, -2
d) -6/5.2**

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be sure to use enough parentheses so that it interprets your input correctly.

Or, you can see all the details of the divisions at

http://calc101.com/webMathematica/long-divide.jsp

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2. Thanks, but that I need someone to chack my answers and some of them don't work with those calcuators.

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3. OK. Then post only those problems that do not work with those calculators.

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👤
Ms. Sue
4. ok ok I see that you are unwilling to confirm what you can online. The simple polynomial divisions can indeed be done at either site.

#1 is wrong

#2 area is length*width
so, length = area/width
x^3 - 7x + 6 = (x-6)(x-1)
try again.

#3 makes no sense to me. How did you arrive at your answer? Not saying you're wrong, just curious what it's all about.

#4 ok

#5 your typos and lack of parentheses make it hard to interpret, but

x/(6x-x^2)
= x / x(6-x)
= 1/(6-x)
where x≠0,6
Even though 1/(6-x) excludes only x=6, if you look at the original expression, x=0 must also be excluded.

#6-18 are just straight divisions. Check online. Excluded values occur when the denominator is zero. In your final answer, be sure to check the original denominators, as in #5 above.

The rest can also be solved at wolframalpha.com

4/x+5/x=-3
multiply by x, to get
4+5 = -3x
x = -3

http://www.wolframalpha.com/input/?i=4%2Fx%2B5%2Fx%3D-3

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