Question 148903
12. 6x³ +5x² +7x 


prime 
(3x +1)(2x +1) 
(2x +7)(3x +1) 
x(6x² +5x + 7)


Answer: x(6x² +5x + 7)
*take out the common term, x
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13. 4x² +14x -30 


2(2x -3)(x +5) 
2(2x -5)(x +3) 
(4x -6)((x +5) 
(2x -3)(2x +10) 


Answer: 2(2x-3)(x+5)
*Take out a two first, then factor
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14. 4x -8/(6x² -12x) 


(2x -2)/(3x² -3x) 
2/3 
4/(6x) 
 2/(3x) 


Answer: 2/3x
*Factor everything using common terms/factors, then cancel, then reduce
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15. (3x -9)/(4x +20) . (x² +3x -10)/(6x² -12x) 


3/4 
(x -5)/(4(x +5)) 
(x -3)/(8x) 
-3/8 


Answer: x-3/8x
*Factor using common terms/factors, then cancel, then multiply, then reduce
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16. (x² -4x -5)/(x² +2x +1) ÷ (x -5)/(x +4) 


(x -5)²/((x +1)(x +4)) 
5 
 (x +1)(x +4)/(x² +1) 
(x +4)/(x +1) 

Answer: x+4/x+1
*Same concept as number 15
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17. Find the slope of a line passing through (-4, 6) and (-2, 5) 


-1/2 
-2 
1/2 
1/6 

Answer: -1/2
*Difference of the y's over the difference of the x's
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18. Find the equation of the line passing through (2, 4) and (-3, 8) 


4x +5y = 28 
4x -5y = -12 
5x +4y = 26 
5x -4y = -6 


Answer: 4x+5y=28
*Difference of the y's over the difference of the x's to obtain slope
*plug that and two coordinates in y=mx+b to solve for b
*manipulate the equation so that x and y are both on one side
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19. 
x +y = 2
3x -2y = 6

 
(1, 1) 
(2,0) 
Inconsistent 
Dependent 


Answer: (2,0)
*Plug and check
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20. 
2x –y = 8
x + 2y = 14


(6, 4) 
(2, -4) 
(0, 7) 
(8, 3) 


Answer:(6,4)
*Same concept as 19
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21. 
x -2y = 12
x +3y = 2


(10, -1) 
(0, -6) 
(1, 1/3) 
(8, -2)


Answer:(8,-2)
*Same concept as 19 and 20
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24. 
The hypotenuse of a right triangle is 10. One side is 2 less than the other.  Find the length of each leg.


3, 5 
5, 7 
 8, 6 
4, 6 


Answer: 8,6
*a^2+b^2=c^2
*a+b more than c
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25. x² +7x +10 = 0 


5, 2 
-5, 2 
-5, -2 
-2, 5


Answer: -5, -2
*Factor
*Set each expression equal to zero and solve