Question

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**


CHECK MY ANSWERS PLEASE

Answer 1

you can confirm your answers by typing in your expressions at wolframalpha.com

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

Answer 2

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

Answer 3

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

Answer 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