

Algebra 2 Full Crash course(SHORT). (PAUSING IS ALLOWED)
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Milan P
FREE Resource
0 Slides • 88 Questions
1
Multiple Choice
1. a(x)=[[x]] b(x) resulted from a(x) but shifted horizontaly 143.78 units left, vertical strech by 1,024, shifted verticly 67.8 units down what is the equation of b(x).
b(x)=1,024[[x-100]]+70
b(x)=1,024[[x+100]]-70
b(x)=1,024[[x+143.78]]-67.8
b(x)=1,024[[x-143.78]]-67.8
2
Multiple Choice
2. a(x)=[x] b(x) resulted from a(x) but shifted horizontaly 143.78 units left, vertical strech by 1,024, shifted verticly 67.8 units down what is the equation of b(x).
b(x)=1,024[x+143.78]-67.8
b(x)=1,024[x+100]-70
b(x)=1,024[[x+143.78]]-67.8
b(x)=1,024[x-143.78]-67.8
3
Multiple Choice
3. f(x)=242√(x) g(x) from f(x) has been transilated horizontally 241,078 units right, vertical shrunken by 5,678, and transilated verticaly 6,748,320 units up, whats the equation of g(x).
g(x)=242√(x-241,078)/5,678+6,748,320
g(x)=242√(x+241,078)/5,678+6,748,320
g(x)=2√(x-241,078)/5,678+6,748,320
g(x)=2√(x+241,078)/5,678+6,748,320
4
Multiple Choice
4. u(x)=1/x323 ,v(x) resulted from u(x) transilated horizontaly 5 units right, vertical streatch by 2 , vertical shift 5 units up, whts the equation of b(x).
v(x)=1/(2(x+5)323)+5
v(x)=1/(2(x-5)323)+5
v(x)=2/(x+5)323+5
v(x)=2/(x-5)323+5
5
Multiple Choice
5. combine 7a5+6a4+7a5+6a4b+2a4+13a5+70a4b
27a5+71a4b+8a4
27a5+76a4b
27a5+84a4
27a5+76a4b+8a4
6
Multiple Choice
6. combine u5v+6u4v3+7u5v+16u4v3+81u5v
86u5v+24u4v3
81u5v+20u4v3
89u5v+22u4v3
104u5v+36u4v3
7
Multiple Choice
7. combine 73g6h+14g4h7+87g6h+91gh7+28g4h7+65gh7+82g4h7+79g4h7
160g6h+201g4h7
+150gh7
160g6h+203g4h7
+156gh7
160g6h+203g4h7
+143gh7
160g6h+201g4h7
+152gh7
8
Multiple Choice
8. simplify
51o8c3+38o8c3+75o5c5+92o6c2+109o5c5+64o8c3+31o5c5+26o8c3
179o8c3+92o6c2
+215o5c5
185o8c3+99o6c2
+223o5c5
179o8c3+87o6c2
+216o5c5
185o8c3+97o6c2
+210o5c5
9
Multiple Choice
9. Expand 100x394(5x500+2x200+2.5x100+2.5x50+2x20+2.5x10+2.5x5+2x2+2.5x+23.5)
500x394+200x200
+250x100+250x50
+200x20+250x10
+250x5+200x2
+250x+2,350
5x394+2x94
+2.5/x6+2.5/x56
+2/x86+2.5/x96
+2.5/x101+2/x104
+2.5/x105
+23.5/x106
500x394+200x94
+250/x4+250/x54
+200/x84+250/x94
+250/x104+200/x114
+250/x134
+2,350/x106
500x894+200x594
+250x494+250x444
+200x414+250x404
+250x399+200x396
+250x395
+2,350x394
5x894+2x594
+2.5x494+2.5x444
+2x414+2.5x404
+2.5x399+2x396
+2.5x395+23.5x394
10
Multiple Choice
10. Expand 50x342(51x2,312+43x2,004+57x1,691+55x1,409+225x667+67x534+555x84+395x23+875x)
5,100x2,654+4,300x2,346+5,700x2,033
+5,500x1,751
+22,500x1,009+6,700x876+55,500x426
+39,500x365
+87,500x343
5,100x2,654+4,300x2,346+5,700x2,033
+5,500x1,751+2,200x342
1,275x2,654+1,075x2,346+1,425x2,033
+1,375x1,751+5,625x1,009+1,675x876
+13,875x426+9,875x365+21,875x343
2,550x2,654+2,150x2,346+2,850x2,033
+2,750x1,751+11,250x1,009+3,350x876
+27,750x426+19,750x365+43,750x343
2,550x2,654+2,150x2,346
+2,850x2,033+2,750x1,751
+1,100x342
11
Multiple Choice
11. which expression is equivilant to 855x27+750x23+600x18+575x17+345x15+660x13+900x12
+765x10 (that is most simplified)
5x10(171x17+150x13+120x8+115x7+69x5+132x3+180x2+153)
15x17(57x10+50x9+40x8+39x7+23x6+44x5
+60x4+51x3)
15x10(57x17+50x13+40x8+39x7+23x5+44x3
+60x2+51)
30x17(57x10+50x8+40x6+39x4+23x3+44x2
+60x+51)
12
Multiple Choice
12. Expand 64x150(40x278+56x207+36x149)
+21x86(79x101+82x19+16x3+3)
2,560x428+3,584x357+2,304x299+1,659x187
+1,716x105+233x89+63x86
2,560x428+3,584x357+2,304x299+1,622x187
+1,699x105+578x89+63x86
2,560x428+3,584x357+2,304x299+1,659x187
+1,722x105+336x89+63x86
2,560x428+3,584x357+2,304x299+1,622x187
+1,699x105+578x89+63x86
13
Multiple Choice
13. Expand (47x6+37x4)(300x5+26x3+325x)
14,100x11+13,322x9+17,578x7+11,925x5
14,100x11+13,322x9+17,775x7+12,025x5
14,100x11+13,314x9+15,568x7+11,925x5
14,100x11+13,322x9+16,237x7+12,025x5
14
Multiple Choice
14. which expression is equivilant to
925w7+370w5+1,320w4+1,240w3+1,528w2+496w+400
(380w7+350w5+310w2+200)(6w2+7w+2)
(185w5+264w2
+248w+200)(5w2+2)
(200w5+324w2
+206w+100)(2w2+4)
(64w7+222w5
+194w2+100)(10w2+5w+4)
15
Multiple Choice
15. which expression is equivilant to
1,500x13+1,200x12+900x11+600x10
+300x9+180x8+120x7+60x6
60x6(25x7+20x6+15x5+10x4+5x3+3x2+2x+1)
30x6(25x7+20x6+15x5+10x4+5x3+3x2+2x+1)
100x6(15x7+12x6+9x5+6x4+3x3+3x2+2x+60)
15x6(25x7+20x6+15x5+10x4+5x3+3x2+2x+1)
16
Multiple Choice
16. which. expression is equivilant to 6a4+17a3b+18a2b2+9ab3+2b4
(6a2+5ab+2b2)(a+b)2
(√(6)a+√(2)b)2(a+b)2
(3a2+6ab+2b2)(2a+2b)2
(3a+2b)2(9a+2b)2
17
Multiple Choice
17. divide (5f4+10f3+15f2+20f+25)/(f+1)
5f3+5f2+10f+10
5f3+10f2+10f+8
5f3+10f2+10f+8
+10/(f+1)
5f3+5f2+10f+10
+15/(f+1)
18
Multiple Choice
18. divide (6f6+5f5+4f4+3f3+2f2+f+0.25)/(f4+3f3+7f2+21f+100)
6f2-13f+1
-(34f3+31f2-2,468f
+9,126)/(f4+3f3+7f2+21f+100)
6f2-13f+1
-(35f3+332f2-280f
+99.75)/(f4+3f3+7f2+21f+100)
6f2-13f+1
6f2+5f+4
19
Multiple Choice
19. divide (x10+x9+x8+x7+x6+x5+x4+x3+x2+x+1)/(x7+x6+x5+x4+x3+x2+x+1)
x3+(x2+x+1)/(x7+x6
+x5+x4+x3+x2+x+1)
x3+x2+x+1
+(x2+x+1)/(x7+x6
+x5+x4+x3+x2+x+1)
x3+x2+x+1
+(x2)/(x7+x6+x5+x4
+x3+x2+x+1)
x3
+(x2)/(x7+x6+x5+x4
+x3+x2+x+1)
20
Multiple Choice
20. divide (6x5+12x4+18x3+24x2+30x+36)/(3x2+6x+9)
2x3+8-(6x+12)/(x2+2x+3)
2x3+4x2+6x+8-(2x+4)/(x2+2x+3)
2x3+8
2x3+4x2+6x+8
21
Multiple Choice
21. (x5+15x4+102x3+452x2+cx+525)/(x4+8x3+46x2+130x+75) for it to be divisible , solve for c
344
453
985
1,584
22
Multiple Choice
22. (7x4+dx3+287x2+427x+f)/(7x2+21x+14)= for it to be divisible solve for d, and f,
d,f
77,210
d,f
285,943
f,d
77,210
f,d
285,943
23
Multiple Choice
23. j(x)=(x4+ox3+590x2+3800x+9,004) for j(-7)=0, and j(-1)=0, solve for o=?
4
8
16
32
24
Multiple Choice
24. (105x8+9,905x7+214,715x6+1,309,315x5+px4+9,566,340x3+9,877,280x2+4,803,488x
+806,400)/(15x4+1,250x3+10,880x2+15,200x+3,840)=7x4+77x3+287x2+427x+210, solve for p
1,325,741
9,877,980
6,528,760
4,856,740
25
Multiple Choice
25. simplify i501
1
i
-1
-i
26
Multiple Choice
26. simplify i53
1
i
-1
-i
27
Multiple Choice
27. simplify i154
1
i
-1
-i
28
Multiple Choice
28. simplify i8,352
1
i
-1
-i
29
Multiple Choice
29. simplify 1.5√(√(i(x3+3x2+3x+1)))
x+1
(x+1)√(i)
1.5√(i)(x+1)
3√(i)(x+1)
30
Multiple Choice
30. expand √(√(5x2i+2))12
60x2i+8+50x4+125x6i
40x2i+4+24x4+125x6i
40x2i+4-24x4-125x6i
60x2i+8-50x4-125x6i
31
Multiple Choice
31. iii√(16)(3√(-8b3i-36cb2i-54c2bi-27c3i))
-3√(i)(3c+2b)
-i(3c+2b)
i(3c+2b)
3√(i)(3c+2b)
32
Multiple Choice
32. simplify ii√(4,096j4-3,072j3k+2,304j2k2
-1,728jk3+1,296k4)
1/(8j-6k)2
1/(8j-6k)4
-(8j-6k)4
-(8j-6k)2
33
Multiple Choice
33. for 3x3+2x2+x=0 solve for x in x1,x2,x3 form
x1
(3√(19+√(486))
+3√(19-√(486))
-2)/9
x2
i(3√(19-√(486))
+3√(19+√(486))-2)/9
x3
-i(3√(19+√(486))
+3√(19-√(486))-2)/9
x1
(3√(41)
+3√(-3)
-2)/9
x2
(3√(3)((i√(3)+1)/2)
+3√(41)(i√(3)-1)/2)-2)/9
x3
(-3√(41)((i√(3)-1)/2)
+((i√(3)-1)/2)3√(-3)-2))/9
x1
(3√(41)+3√(-3)-2)/9
x2
(3√(3)((1-i√(3))/2)
+3√(41)((i√(3)-1)/2)-2)/9
x3
((1-i√(3))/2)3√(3)
-(((i√(3)+1)/2)(3√(41)+2)/9
x1
(3√(19+√(486))
+3√(19-√(486))
-2)/9
x2
(((i√(3)-1)/2)3√(19-√(486))
-((i√(3)+1)/2)3√(19+√(486))-2)/9
x3
(((i√(3)-1)/2)3√(19-√(486))
-((i√(3)+1)/2)3√(19+√(486))
-2)/9
34
Multiple Choice
34. for 10x3+50x2+250x+1,250=0 solve for x in x1,x2,x3 form
x1
5(3√(20)+3√(20)-1)/3
x2
5i(3√(20)+
3√(20)-1)/3
x3
-5i(3√(20)+
3√(20)-1)/3
x1
5(3√(10+√(108))+3√(10-√(108))-1)/3
x2
5i(3√(10+√(108))+
3√(10-√(108))-1)/3
x3
-5i(3√(10-√(108))+
3√(10+√(108))-1)/3
x1
5(3√(20)+3√(20)-1)/3
x2
5(3√(20)((i√(3)-1)/2)
-3√(20)((i√(3)+1)/2)-1)/3
x3
5(3√(20)((i√(3)-1)/2)
-53√(20)((i√(3)+1)/2)
-1)/3
x1
5(3√(10+√(108))+3√(10-√(108))-1)/3
x2
5(3√(10+√(108))((i√(3)-1)/2)
-3√(10-√(108))((i√(3)+1)/2)-1)/3
x3
5(3√(10-√(108))((i√(3)-1)/2)
-3√(10+√(108))((i√(3)+1)/2)
-1)/3
35
Multiple Choice
35. for 9x3+8x2+42x+504=0 solve for x in x1,x2,x3 form
x1
-(3√(537,216
-√(289,968,661,656))+3√(537,216
+√(289,968,661,656))-8)/27
x2
-(3√(537,216
+√(289,968,661,656))((i√(6)-1)/2)+3√(537,216
-√(289,968,661,656))((i√(6)+1)/2)-8)/27
x3
-(3√(537,216
-√(289,968,661,656))((i√(6)-1)/2)-3√(537,216
+√(289,968,661,656))((i√(6)+1)/2)-8)/27
x1
(3√(537,216-√(289,968,661,656))-3√(537,216
+√(289,968,661,656))+8)/27
x2
(3√(537,216-√(289,968,661,656))((i√(3)+1)/2)-3√(537,216
+√(289,968,661,656))((i√(3)-1)/2)+8)/27
x3
(3√(537,216
+√(289,968,661,656))((i√(3)+1)/2)-3√(537,216
-√(289,968,661,656))((i√(3)-1)/2)+8)/27
x1
-(3√(448,572
+√(224,523,624,344))+3√(448,572
-√(224,523,624,344))+8)/27
x2
(3√(448,572
+√(224,523,624,344))((1
-i√(3))/2)+3√(537,216-√(224,523,624,344))((i√(3)+1)/2)-8)/27
x3
(((i√(3)-1)/2)(3√(448,572
-√(224,523,624,344)))+((i√(3)+1)/2)(3√(448,572
+√(224,523,624,344)))-8)/27
x1
-(3√(448,572
+√(224,523,624,344))+3√(448,572
-√(224,523,624,344))+8)/27
x2
(3√(448,572
+√(224,523,624,344))((1
-i√(3))/2))+3√(537,216-√(224,523,624,344))((i√(3)+1)/2)-8)/27
x3
(3√(448,572
-√(224,523,624,344))((1
-i√(3))/2)-3√(448,572
+√(224,523,624,344))(((i√(3)+1)/2))-8)/27
36
Multiple Choice
36. for 3x3--9x2+18x+18=0 whats the value of x in x1,x2,x3 form
x1
3√(2)
-3√(4)+1
x2
((i√(3)-1)/2)(3√(2))
((1+i√(3))/2)(3√(4))+1
x3
((1-i√(3))/2)(3√(4))
-((1+i√(3))/2)(3√(2))+1
x1
3√(2)
-3√(4)-3
x2
((i√(3)-1)/2)(3√(2))
+((1+i√(3))/2)(3√(4))-3
x3
((1-i√(3))/2)(3√(4))
-((1+i√(3))/2)(3√(2))-3
x1
3√(1+√(2))
-3√(√(2)-1)-3
x2
((i√(3)-1)/2)3√(1+√(2))
+((1+i√(3))/2)3√(√(2)-1)-3
x3
((1-i√(3))/2)(3√(√(2)-1))
-((1+i√(3))/2)(3√(1+√(2)))-3
x1
3√(√(2)-1)
-3√(1+√(2))-3
x2
3√(√(2)-1)((i√(3)-1)/2)
-3√(√(2)+1)((i√(3)-1)/2)-3
x3
3√(-1-√(2))((i√(3)-1)/2)
-3√(1+√(2))((i√(3)+1)/2)-3
37
Multiple Choice
37. for 4x4+3x3+2x2+x=0 solve for x in x1,x2,x3,x4 form
x1
-(√((3√(85+5√(75)))/(8(3√(4))
-27/52 - 5/(3√(85+5√(75))))+√(5/(3√(85+5√(75)))+3
- (3√(85+5√(75)))/(8(3√(4)))))/4
- 5/32
x2
-(√((3√(85+5√(75)))/(8(3√(4))
-27/52 - 5/(3√(85+5√(75))))-√(5/(3√(85+5√(75)))+3
- (3√(85+5√(75)))/(8(3√(4)))))/4
- 5/32
x3
-(√((3√(85+5√(75)))/(8(3√(4))
-27/52 - 5/(3√(85+5√(75))))-√(5/(3√(85+5√(75)))-55
- (3√(85+5√(75)))/(8(3√(4)))))/4
- 5/32
x4
(√((3√(85+5√(75)))/(8(3√(4))
-27/52 - 5/(3√(85+5√(75))))+√(5/(3√(85+5√(75)))-55
- (3√(85+5√(75)))/(8(3√(4)))))/4
- 5/32
x1
-(√(3/(4(3√(4))
-395/6)+√(23/6
- (3√(85+5√(75)))/(8(3√(4)))))/4
x2
-(√(3/(4(3√(4))
-395/6)+√(23/6
- (3√(85+5√(75)))/(8(3√(4)))))/4
x3
-(√(3/(4(3√(4))
-395/6)-√(24/7
- (3√(85+5√(75)))/(8(3√(4)))))/4
x4
(√(3/(4(3√(4))
-395/6)+√(24/7
- (3√(85+5√(75)))/(8(3√(4)))))/4
x1
-(√(2/3√(2)-37/48
-5/(3√(35+5√(54))))+√(5/(3√(35+5√(54)))+9/2 - 2/3√(2)))/4
x2
-(√(2/3√(2)-37/48
-5/(3√(35+5√(54))))
-√(5/(3√(35+5√(54)))+9/2 - 2/3√(2)))/4
x3
-(√(2/3√(2)-37/48
-5/(3√(35+5√(54))))
-√(5/(3√(35+5√(54)))-5 - 2/3√(2)))/4
x4
(√(2/3√(2)-37/48
-5/(3√(35+5√(54))))+√(5/(3√(35+5√(54)))
-5 - 2/3√(2)))/4
x1
-(√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12))
+√(9/32+5/(3√(35+5√(54))12)
-3√(35+5√(54))/
(8√(2))+59/(256√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12))))
-3/16
x2
-(√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12))
-√(9/32+5/(3√(35+5√(54))12)
-3√(35+5√(54))/
(8√(2))+59/(256√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12))))
-3/16
x3
√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12))
-√(9/32+5/(3√(35+5√(54))12)
-3√(35+5√(54))/
(8√(2))-59/(256√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12)))
-3/16
x4
√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54))12))
+√(9/32+5/(3√(35+5√(54))12)
-3√(35+5√(54))/
(8√(2))-59/(256√(9/64 + 3√(35+5√(54))/
(8√(2))-5/(3√(35+5√(54
38
Multiple Choice
38. for x4+4x3+6x2+4x+1=0 solve for x in x1,x2,x3,x4 form
x1
-6
x2
-4
x3
-3
x4
-2
x1
-1
x2
-1
x3
-1
x4
-1
x1
1
x2
1
x3
1
x4
1
x1
6
x2
4
x3
3
x4
2
39
Multiple Choice
39. for x4+x3+x2+x=0 solve for x in x1,x2,x3,x4
x1
1
x2
0
x3
1
x4
0
x1
-(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)+√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
+5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x2
-(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)-√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
+5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x3
(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)-√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
-5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x4
(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)+√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
-5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x1
-(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)+√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
+5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x2
-(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)-√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
+5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x3
(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)-√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
-5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 -1/4
x4
(√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2)+√(1/2
-1/(3√(10+2√(23))3)
-3√(5+√(23))/2
-5/(4√(1/4
+1/(3√(10+2√(23))3)
+3√(5+√(23))/2))/2 +1/4
x1
1
x2
1
x3
0
x4
0
40
Multiple Choice
40. for 12x4-22x3-38x2+88x-40=0 solve for x in x1,x2,x3,x4 form
x1
3/4
x2
-7/2
x3
-3
x4
-4
x1
3
x2
1
x3
-2
x4
-8
x1
-(√(425/144+(373√(2))/(9(3√(√3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2)+√(425/72
-(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
-3√(√(234,468,572,856)-479,930))/2
+6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2))))-11/12)/2
x2
(√(425/72-(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
-3√(√(234,468,572,856)-479,930))/2
+6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2))))-√(425/144
+(373√(2))/(9(3√(√3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2)+11/12)/2
x3
(√(425/144+(373√(2))/(9(3√(√3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2)-√(425/72
-(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
-3√(√(234,468,572,856)-479,930))/2
-6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2))))+11/12)/2
x4
(√(425/144+(373√(2))/(9(3√(√3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2)+√(425/72
-(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
-3√(√(234,468,572,856)-479,930))/2
-6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,161,423,531,612)-1,921,964)))
+3√(√(234,468,572,856)-479,930))/2))))+11/12)/2
x1
-(√(425/144+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2))+√(425/72
-(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
-3√(√(230,051,470,868)-479,930)/2
+6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2)))-11/12)/2
x2
(√(425/72-(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
-3√(√(230,051,470,868)-479,930)/2
+6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2)))-√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2))+11/12)/2
x3
(√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2))-√(425/72-(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))-3√(√(230,051,470,868)-479,930)/2
-6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2)))+11/12)/2
x4
(√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2))+√(425/72
-(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
-3√(√(230,051,470,868)-479,930)/2
-6,325/(48√(425/144
+(373√(2))/(9(3√(√(3,680,823,533,888)-1,917,720)))
+3√(√(230,051,470,868)-479,930)/2)))-11/12)
/20
41
Multiple Choice
41. solve (2i+4)(i-7)/(i+7)
(3i+4)/5
(4i+22)/5
-(i+3)/5
-(2i+4)/5
42
Multiple Choice
42. solve (i+1)/(i+3)-(i+5)/(i+7)
(4i+18)/85
(2i+9)/85
(4-2i)/25
(8-4i)/(25)
43
Multiple Choice
43. solve 2(i+5)(i+4)/7(i+2)(i+1)+8i(i-1)/(i-3)10(i-4)
(96,552-82,320i)/425
(12,861,480i-2,393,360)/365
(1,286,148i-239,336)/365
(24,138-20,580i)/2,125
44
Multiple Choice
44. solve (4i+3)(6i+2)/(2i+11)+(67i-34)/(4i+38)
(34,372i+32,415)
/18,250
(343,720i+324,150)
/18,250
(219,720+641,210i)
/18,250
(21,972+64,121i)
/18,250
45
Multiple Choice
45. if 3x=729, x=log3(729) whats the value of x?
2
9
3
6
46
Multiple Choice
46. 6b=36, b=log6(36) whats the value of b
1
5
2
4
47
Multiple Choice
47. log8(32,768)
10
15
5
34
48
Multiple Choice
48. log9(6,561)
6
8
3
4
49
Multiple Choice
49. log(10,000)
2
3
4
5
50
Multiple Choice
50 ln(e7)
2
7
5
1
51
Multiple Choice
51. log(100)
1
2
4
3
52
Multiple Choice
52. log(1,000,000,000,000)
3
9
6
12
53
Multiple Choice
53. log7(14)+log7(21)
log7(6)
2+log7(300)
log7(300)
2+log7(6)
54
Multiple Choice
54. ln(5e7)-log(10,000)
10e28
5e3
28+ln(10)
3+ln(5)
55
Multiple Choice
55. (3ln(e)3log(100))log(b)
27log(b)
27b
27log(b)
27
56
Multiple Choice
56. (9log(e))5(3ln(e))3
1,594,323log(e)
3(59,049log(e))
167,147log(e)
27(59,049)log(e)
57
Multiple Choice
57. 5log(2)
log(10)
log(32)
log(64)
log(500)
58
Multiple Choice
58. 4ln(e7)+5ln(300)
140+20ln(
3.486784401(10)49)
28+ln(1,500)
28+ln(2,430,000,000,000)
7+ln(6,000)
59
Multiple Choice
59. 6log(10)+4log(102)
1014
14
10
1010
60
Multiple Choice
60. 5log7(343)+log7(14)/2
7+log(√(14))
15.5+log(√(2))
2+log(√(2))
343+log(√(14))
61
Multiple Choice
61. log8(e)
e
e-1
logx(8)/logx(e)
logx(e)/logx(8)
62
Multiple Choice
62. logn(n5+n2)-logn(n3+3n2)
logn(n2+3n-9
-26n-1/(n+3)-n3-3n2)/logx(n)
logx(n2-3n+9
-26/(n+3))/logx(n)
logx(n5-n3
-2n2)/logx(n)
logn(n5+n2)
63
Multiple Choice
63. jplog(m)=kn find n.
log(j)logk(mp)
log(j)logk(jp)
plog(j)logk(m)
plog(m)logk(j)
64
Multiple Choice
64. 5n((loga(b))-n+logb(a))5n
logb(a5n+5nn)
logb(a1+n)
(logb(a1+n))5n
(logb(a5n+5nn))5n
65
Multiple Choice
65. when b(x)=2x4-3x7 whats the value of b(x) when x->-∞
3
∞
-∞
-3
66
Multiple Choice
66. when r(x)=8x5-3x4 whats the value of r(x) when x->-∞
5
8
∞
-∞
67
Multiple Choice
67. m(c)=7c10-25cn+50c15 let n=22, find m(c), when
c->-∞
-∞
-25
∞
25
68
Multiple Choice
68. c(r)=3rh+6reπ+21100πr4e,let h=40 and, h is factorable by 2, find c(r), when r->-∞
3
∞
-3
-∞
N/A
69
Multiple Choice
69. when g(x)=(5xn+3x4+6x3+25x2+50x+1)/(125x27+65x4+51x3+122x2+250x+355), where n>50 and its nonfactorable by 2, whats value g(x) approches to when x -> -∞
-1
∞
1
-∞
N/A
70
Multiple Choice
70. when r(x)=(8x3-6xn+450x+5,000)/(2xn+55x+450) let n>5, and its factorable by 2, find r(x) when x->∞.
∞
-∞
3
-3
N/A
71
Multiple Choice
71. u(x)=(5x4+3x3-2xn+100nx+1)/(5xn+15x4+60x3+180x2+360x+360) where n=2, find u(x) when x->-∞,
-1
-1/3
1
1/3
N/A
72
Multiple Choice
72. when d(x)=(5x+4)/(2x+3) find d(x) when x->-∞
-5/2
∞
-∞
5/2
N/A
73
Multiple Choice
73. a(s)=ln(s)/logπ(s) find a(s), when s->-∞
∞
-∞
e
π
N/A
74
Multiple Choice
74. f(t)=log(25t)/logπ(500t) find f(t) when t->--∞
log(25t)/logπ(20)logπ(25t)
0
∞
-∞
logπ(10)
N/A
75
Multiple Choice
75. when h(l)=logπ(e5l)/ln(e5l), find h(l), as l->∞
0
ln(π)
-∞
∞
N/A
76
Multiple Choice
76. when m(c)=log1.0058(c)/log.00001eπ(c) find m(c), when m->∞
-∞
-log(.00001eπ)-1(1.0058)
∞
0
N/A
77
Multiple Choice
77. what are the factors for 5x3+65x2+320x+450
(x+5-3√(332/27 - √(122,391/729))
-3√(332/27 + √(122,391/729)))(x+5
-(-i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))
-(i√(3)/2 - 1/2)3√(332/27
+√(122,391/729)))(x+5
-(i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))-(-i√(3)/2
-1/2)3√(332/27 + √(122,391/729)))
(x+5+3√(332/27 - √(122,391/729))
-3√(332/27 - √(122,391/729)))(x+5
+(-i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))
+(i√(3)/2 - 1/2)3√(332/27
+√(122,391/729)))(x+5
+(i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))+(-i√(3)/2
-1/2)3√(332/27 + √(122,391/729)))
5(x+5+3√(332/27 - √(122,391/729))
-3√(332/27 - √(122,391/729)))(x+5
+(-i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))
+(i√(3)/2 - 1/2)3√(332/27
+√(122,391/729)))(x+5
+(i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))+(-i√(3)/2
-1/2)3√(332/27 + √(122,391/729)))
5(x+5-3√(332/27 - √(122,391/729))
-3√(332/27 + √(122,391/729)))(x+5
-(-i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))
-(i√(3)/2 - 1/2)3√(332/27
+√(122,391/729)))(x+5
-(i√(3)/2 - 1/2)3√(332/27
-√(122,391/729))-(-i√(3)/2
-1/2)3√(332/27 + √(122,391/729)))
78
Multiple Choice
74. what are the factors for 5x2+6x+9
5(x-(3+√(3))/5)(-+(3-√(3))/5)
5(x-(3+i√(3))/5)5(x-(3-i√(3))/5)
(x-(3+6i)/10)(x-(3-6i)/10)
(x-(3+6i)/5)(x-(3-6i)/5)
79
Multiple Choice
79. what are the factors for 6x4+5x3+7x2+4x+8
6(x+(((√(587/(3√(8,387+√(131,920,234))18)-3√(8,387+√(131,920,234))/(3√(2)12)-29/48)+√(3√(√(131,920,234)-8,387)/(3√(2)12)-587/(3√(√(131,920,234)+8,387)18)-29/24
-715/(144√(587/(3√(8,387+√(131,920,234))18)-3√(8,387+√(131,920,234))/(3√(2)12)-29/48))))/2+
5/24))(x+(((√(587/(3√(8,387+√(131,920,234))18)-3√(8,387+√(131,920,234))/
(3√(2)12)-29/48)-√(3√(√(131,920,234)-8,387)/(3√(2)12)-587/(3√(√(131,920,234)+8,387)
18)-29/24
-715/(144√(587/(3√(8,387+√(131,920,234))18)-3√(8,387
+√(131,920,234))/(3√(2)12)-29/48))))/2
+5/24))(x
+(((√(3√(√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(√(131,920,234)+8,387)18)-29/24
+715/(144√(587/(3√(8,387+√(131,920,234))18)-3√(8,387
+√(131,920,234))/(3√(2)12)-29/48))
-√(587/(3√(8,387+√(131,920,234))18)
-3√(8,387+√(131,920,234))/(3√(2)12)-29/48))/2
+5/24))(x-(((√(587/(3√(8,387+√(131,920,234))18)-3√(8,387
+√(131,920,234))/(3√(2)12)-29/48)+√(3√(√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(√(131,920,234)+8,387)18)-29/24
+715/(144√(587/(3√(8,387+√(131,920,234))18)
-3√(8,387+√(131,920,234))/(3√(2)12)-29/48))))/2
+5/24))
6(x+(((√(3√(i√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(i√(131,920,234)-8,387)18)-29/48)+√(587
/(3√(i√(131,920,234)-8,387)18)-3√(i√(131,920,234)-8,387)
/(3√(2)12)-29/24
-715/(144√(3√(i√(131,920,234)
-8,387)
/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)-29/48))))/2
+5/24))
(x
+(((√(3√(i√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(i√(131,920,234)-8,387)18)-29/48)
-√(587/(3√(i√(131,920,234)-8,387)18)-3√(i√(131,920,234)
-8,387)/(3√(2)12)-29/24
-715/(144√(3√(i√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)-29/48))))/2+
5/24))(x+(((√(587/(3√(i√(131,920,234)-8,387)18)-3√(i√(131,920,234)-8,387)/(3√(2)12)-29/24
+715/(144√(3√(i√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)-29/48))-√(3√(i√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(i√(131,920,234)-8,387)18)-29/48))/2+5/24))
(x
-(((√(3√(i√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(i√(131,920,234)-8,387)18)-29/48)+√(587/(3√(i√(131,920,234)-8,387)18)-3√(i√(131,920,234)-8,387)/(3√(2)12)-29/24
+715/(144√(3√(i√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)-29/48))))/2
+5/24))
6(x+(((√(3√(√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(√(131,920,234)-8,387)18)-29/48)+√(587/(3√(√(131,920,234)-8,387)18)
-3√(√(131,920,234)-8,387)/(3√(2)12)-29/24
-715/(144√(3√(√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)
-29/48))))/2+5/24))(x
+(((√(3√(√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(√(131,920,234)-8,387)18)-29/48)
-√(587/(3√(√(131,920,234)-8,387)18)-3√(√(131,920,234)-8,387)/(3√(2)12)-29/24
-715/(144√(3√(√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)-29/48))))/2
+5/24))(x
+(((√(587/(3√(√(131,920,234)-8,387)18)-3√(√(131,920,234)
-8,387)/(3√(2)12)-29/24
+715/(144√(3√(√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(√(131,920,234)-8,387)18)-29/48))
-√(3√(√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(√(131,920,234)-8,387)18)-29/48))/2+5/24))(x
-(((√(3√(√(131,920,234)-8,387)/(3√(2)12)-587
/(3√(√(131,920,234)-8,387)18)-29/48)+√(587
/(3√(i√(131,920,234)-8,387)18)
-3√(√(131,920,234)-8,387)/(3√(2)12)-29/24
+715/(144√(3√(√(131,920,234)
-8,387)/(3√(2)12)-587/(3√(i√(131,920,234)-8,387)18)-29/48))))/2
+5/24))
6(x+4)(x+2)2(x+1)
80
Multiple Choice
80. factor 4x3+12x2+24x-24
(x+(3√(5+√(26))((i√(3)-1)/2)-3√(5
-√(26))((-i√(3)-1)/2)))(x+(3√(5
+√(26))((-i√(3)-1)/2)-3√(5
-√(26))((i√(3)-1)/2)))(x
+(3√(5+√(26))+3√(5-√(26))))
4(x+1)3
(x+1)3
4(x+(3√(5+√(26))((i√(3)-1)/2)
-3√(5-√(26))((-i√(3)-1)/2)))(x+(3√(5+√(26))((-i√(3)-1)/2)-3√(5
-√(26))((i√(3)-1)/2)))(x
+(3√(5+√(26))+3√(5-√(26))))
81
Multiple Choice
81. h(n)=6nn+4n, j(n)=5n+2, and k(n)=6n+1, find j(k(h(2)))
10
1,207
1,200
400
82
Multiple Choice
82. f(x)=2, g(x)=5x+6x, when 7g(f(x))n=49(f(g(∞))+5)(n+3) whats the solution, find n
39/21
21/39
46/21
21/46
83
Multiple Choice
79. if f(x)=6x+4.g=2x2+5x+4 n=j(x) , j(x)=log4x(xx) find f2(g4(6xn)) when x=4
∞
-∞
768,146,728,594,978,920
590,049,406,506,130,551,023,413,792,333
,664
84
Multiple Choice
84. if f(x)=5x+2, g(x)=2x+5, find f(g(n2+5n+1)+6n)
∞
-∞
10n2+50n+37
10n2+80n+37
85
Multiple Choice
85. h(n)=6n2+78n+103, find h-1(n)
n=√(y/6+251/12)
n=√(y/6+251/12)-13/2
n=√(h/6+251/12)-13/2
n=√(h/6+251/12)
86
Multiple Choice
86. if o(d)=7d2+14d+14, find o-1(d)
d=√(o/7-1)-1
y=√(o/7-1)-1
d=√(o-7)-1
y=(o-7)-1
87
Multiple Choice
87. y=2x/65,536
x=2y-16
x=16+log2(y)
x=4+log2(y)
x=log2(∞)
88
Multiple Choice
88. g(x)=log(5+log2(e+ln(x))), find g-1(x)
x= e10^(2^(y)-5)-e
x= 22^(10^(y)-5)-e
x= e2^(10^(y)-5)-e
ee(2(y)-5)-e
1. a(x)=[[x]] b(x) resulted from a(x) but shifted horizontaly 143.78 units left, vertical strech by 1,024, shifted verticly 67.8 units down what is the equation of b(x).
b(x)=1,024[[x-100]]+70
b(x)=1,024[[x+100]]-70
b(x)=1,024[[x+143.78]]-67.8
b(x)=1,024[[x-143.78]]-67.8
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