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[tonibraxton]

I absolutly am horrible at math. i need to get this test right so i can pass. im not lazy i really try and still fail. my mother is not good at math either. not many people in my family are. PLEASE HELP ME!
1. 3x^8 – 7x^8 (1 point)
a.–4x^16
b.-21x^18
c.-4x^8
d.10x^8

2. 6y^5 – 9y^5
a.–3y^10
b.15y^5
c.-54y^5
d.-3y^5

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
3. 2 – 11x2 – 8x + 6x2
a.-5x^2 - 8x + 6x^2; quadratic trinomial
b.-5x^2 - 8x; quadratic binomial
c.-6x^2 - 8x - 2;cubic polynomial
d.6x^2 - 8x + 2;cubic trinomial

4. A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.

White-sided jackrabbits: 5.5x^2 – 9.2x + 6.9
Black-tailed jackrabbits: 5.5x^2 + 9.9x + 1.3
What polynomial models the total number of white-sided and black-tailed jackrabbits?
a.11x^2 + 0.7x + 8.2
b.11x^2 - 0.7x + 8.2
c.11x^2 - 0.7x - 8.2
d.-11x^2+0.7x - 8.2

6. A sports team is building a new stadium on a rectangular lot of land. If the lot measures 6x by 10x and the sports field will be 1x by 4x, how much of the lot will be left over to build bleachers on?
(1 point)
a.56x^2
b.64x^2
c.30x^2
d.60x^2 – 4x^2

Simplify the product using the distributive property.
7. (5h – 3)(3h + 7) (1 point)
a.15h^2 – 44h + 21
b.15h^2 – 26h – 21
c.15h^2 + 44h + 21
d.15h^2 + 26h – 21

Simplify the product using a table
8. (5h + 4)(3h + 6)
box;
blank;3h;6
5h;blank;blank
4;blank;blank

a.15h^2 + 42h + 24
b.15h^2 – 42h + 24
c.15h^2 + 18h – 24
d.15h^2 – 18h – 24

9. (–2h + 4)(5h + 7)
another box;
blank;5h;7
-2h;blank;blank
4;blank;blank

a.–10^h2 + 34h – 28
b.–10h^2 + 6h + 28
c.–10h^2 – 6h + 28
d.–10h^2 – 34h – 28

simplify the product using foil
10. (4x – 4)(3x – 4)
a.12x^2 – 28x + 16
b.12x^2 – 4x – 16
c.12x^2 + 4x – 16
d.12x^2 + 28x + 16

11. A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V=piex^2h for the volume of a cylinder.
(1 point)

12. A sphere has a radius of 4x + 4. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pie.r^2 for the surface area of a sphere.
(1 point)

what is the simpler form of each product?
13. (4x – 6y3)^2
a.16x^2 – 24xy^3 + 36y^6
b.16x^2 – 48xy^3 + 36y^6
c.16x^2 + 36y^6
d.16x^2 – 4xy^3 + 36y^6

14. What is 51^2? Use mental math. (1 point)
a.2,500
b.2,401
c.2,601
d.2,551

15. The area of a rectangular garden is given by the trinomial x^2 + 6x – 27. What are the possible dimensions of the rectangle? Use factoring.
(1 point)
a.x – 9 and x + 3
b.x + 9 and x – 3
c.x – 9 and x – 3
d.x + 9 and x + 3

16. The area of a rectangular painting is given by the trinomial x^2 + 4x – 21. What are the possible dimensions of the painting? Use factoring.
(1 point
a.x + 7 and x + 3
b.x – 7 and x + 3
c.x – 7 and x – 3
d.x + 7 and x – 3

what is the factored form of the following expressions?

17. x^2 – 10xy + 24y^2
(1 point)
a.(x + 6y)(x + 4y)
b(x – 2y)(x + 12y)
c.(x + 2y)(x – 12y)
d.(x – 6y)(x – 4y)

18. The area of a rectangular barnyard is given by the trinomial 12x^2 + 14x – 40. What are the possible dimensions of the barnyard? Use factoring.
(1 point)
a.4x – 10 and 3x + 4
b.–4x + 10 and –3x + 4
c.4x + 10 and 3x – 4
d.4x – 4 and 3x – 4

19. The area of a rectangular pool is given by the trinomial 8y^2 + 4y – 12. What are the possible dimensions of the pool? Use factoring.
(1 point)
a.(–2y – 2) and (–4y – 6)
b.(2y – 2) and (4y + 6)
c.(2y – 2) and (4y + 6)
d.(2y + 2) and (4y – 6)

21. d^2 + 18d + 81 (1 point)
a.(d + 9)(d – 9)
b.(d + 9)^2
c.(d – 81)(d – 1)
d.(d – 9)^2


22. d^2 + 22d + 121 (1 point)
a.(d + 11)^2
b.(d – 11)^2
c.(d – 11)(d + 11)
d.(d – 121)(d – 1)

23. r^2 – 49 (1 point)
a.(r – 7)(r + 7)
b.(r + 7)(r + 7)
c.(r – 7)(r – 7)
d.(r – 7)(r + 9)

24. A box has a volume given by the trinomial x^3 + 3x^2 – 18x. What are the possible dimensions of the box? Use factoring. (1 point)
a.x – 3, –x – 3, and –x – 6
b.x, x + 3, and x – 6
c.x, x – 3, and x + 6
d.x – 6, x – 6, and x + 6

25. A refrigerator has a volume given by the trinomial y^3 + y^2 – 56y. What are the possible dimensions of the refrigerator? Use factoring. (1 point)
a.y, y + 8, and y – 7
b.y, y – 8, and y + 7
c.y + 7, y + 7, and y – 7
d.y + 8, –y + 8, and –y + 7

[abelard29]

I only have time to help with a few, but...
1. 3x^8 – 7x^8 (1 point)
a.–4x^16
b.-21x^18
c.-4x^8
d.10x^8

As long as the exponent is the same, you just subtract the bases. So, 3-7 is -4, so the answer is c

2. Do the same as number 1

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
3. 2 – 11x2 – 8x + 6x2
a.-5x^2 - 8x + 6x^2; quadratic trinomial
b.-5x^2 - 8x; quadratic binomial
c.-6x^2 - 8x - 2;cubic polynomial
d.6x^2 - 8x + 2;cubic trinomial

combine like terms, so 11x^2 + 6x^2 is 17x^2

17x^2-8x-2

4.