Math Question need help creating an answer key?

Question

Thanks for all your help.

Factor Each Expression.

1. x2 + 5x – 14
2. x2 + 7x + 12
3. 3x2 – 10x + 8
4. 4x2 +20x + 25
5. 3x2 + 7x – 6
6. 25m2 - 4
7. 7x2 + 19x + 10

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Solve Each equation by factoring

8. (x + 13)(x + 1) = 0
9. x2 + 10x = - 21
10. x2 + 44 = 15x
11. 4x2 – 4x –15 = 0
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Word Problems

Word problems ( 5 points each)
12. Suppose you are building a box of volume 32 in.3. The aquarium will be 1 ft. high. The base will be
a rectangle with the length 4 ft more than the width. Find the dimensions of the base.
Length: Width:

13. A rectangular poster has an area of 30 in.2. The length of the poster is 7 in. more than twice its
width. Find the dimensions of the poster.

Length: Width:

Bonus: Solve the equation by factoring. Show all work for credit. Box your answer. ( 5 points)
24r2 – 66r – 18 = 0

This is Straight off a test I need the awnser key to review with.

after x if it has a 2 its squared and in the bonus after r it is square. Basicaly if its a 2 after a letter its sqared

Answer 1

Since you say you want an answer key, I'll give you the answers with no explanation.

1. (x+7)(x-2)
2. (x+4)(x+3)
3. (3x-4)(x-2)
4. (2x+5)^2
5. (3x-2)(x+3)
6. (5m-2)(5m+2)
7. (7x+5)(x+2)

8. x = -1 or -13
9. x = -3 or -7
10. x = 4 or 11
11. x = 5/2 or -3/2.

12. I assume you mean a volume of 32 ft^3, in which case the length is 8ft and the width 4ft. If you really want a volume of 32 in^3 then the width is approx. 0.0046 ft ≈ 1/18 in and the length is 4.0046 ft. (Also, is it a box or an aquarium?)
13. Length 12 in, width 2.5 in.

Bonus: r = -1/4 or 3.

Answer 2

1. x2 + 5x – 14 = (x - 2)(x + 7)
2. x2 + 7x + 12 = (x+3)(x+4)
3. 3x2 – 10x + 8 = (x-2)(3x-4)
4. 4x2 +20x + 25=(2x+ 5)(2x+5)
5. 3x2 + 7x – 6=(x+3)(3x-2)
6. 25x2 - 4=(5x+2)(5x-2)
7. 7x2 + 19x + 10=(x+2)(7x+5)

8. (x + 13)(x + 1) = 0
x = -1 or x = -13

9. x2 + 10x = - 21
x = -3 or x = -7

10. x2 + 44 = 15x
x = 0.338 or x = -44.3

11. 4x2 – 4x –15 = 0
x = 2.5 or x = -1.5

I can't do the word problems cos i am singaporean and i don't learn inches and feet. so sry. hope the stuff up there helps