unit 3 review game. eliminationsubstitutioncramer’s rule determinat es graphing & linear...
TRANSCRIPT
Unit 3 Review Game
Elimination Substitution
Cramer’s Rule
Determinates
Graphing & Linear
Programming
10 10 10 10 10
20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
Elimination-Question 1
8x-6y=-20-16x+7y=30
(-1,2)(-1,2)
Elimination-Question 2
-8x-10y=246x+5y=2
(7,-8)(7,-8)
Elimination - Question 3
6x-12y=24-x-6y=4
(2,-1)(2,-1)
Elimination- Question 4
-9+5y=-4x-11x=-20+9y
(1,1)(1,1)
Elimination-Question 5
-x-5y-5z=24x-5y+4z=19x+5y-z=-20
(2,-3,3)(2,-3,3)
y=4x-9y=x-3
Substitution-Question 1
(2,-1)(2,-1)
y=-55x+4y=-20
Substitution-Question 2
(0,-5)(0,-5)
4x+2y=10x-y=13
Substitution-Question 3
(6,-7)(6,-7)
x+7y=02x-8y=22
Substitution-Question 4
(7,-1)(7,-1)
Substitution-Question 5
-x-y-3z=-9z=-3x-1x=5y-z+23
(-.9474, -4.421, 1.842)
(-.9474, -4.421, 1.842)
Cramer’s Rule-Question 1
22
25
yx
yx
(-2,0)(-2,0)
Cramer’s Rule-Question 2
442
2555
yx
yx
(-8/3, 7/3)(-8/3, 7/3)
Cramer’s Rule-Question 3
265
26
yx
yx
(-10/31, -2/31)
(-10/31, -2/31)
Cramer’s Rule-Question 4
1724244
64
76
zyx
z
zyx
(1.736, -1.9189, -
1.5)
(1.736, -1.9189, -
1.5)
Cramer’s Rule-Question 5
3
26364
3066
zyx
zyx
zy
(2, -1, -4)(2, -1, -4)
Determinates- Question 1
66
06
3636
Determinates- Question 2
05
81
-40-40
Determinates- Question 3
910
68
1212
Determinates- Question 4
334
253
166
-103-103
Determinates- Question 5
958
398
555
-800-800
Graphing- Question 1
y=x+2x=-3
(-3,-1)(-3,-1)
Graphing- Question 2
x-y=37x-y=-3
(-1,-4)(-1,-4)
Graphing- Question 3
4x+y=2x-y=3
(-5/3, -14/3)
(-5/3, -14/3)
Linear Programming- Question 4
A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5000 for every acre he plants with wheat and $3000 for every acre he plants with barley. His use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre.
x≥0y≥0x+y≤82x+y≤10
P=5000x+3000y
(2,6)(2,6)
Linear Programming- Question 5
A painter has exactly 32 units of yellow dye and 54 units of green dye. He plans to mix as many gallons as possible of color A and color B. Each gallon of color A requires 4 units of yellow dye and 1 unit of green dye. Each gallon of color B requires 1 unit of yellow dye and 6 units of green dye. Find the maximum number of gallons he can mix.
(6,8)(6,8)546
324
0
0
yx
yx
y
x 0,88,6
9,0
0,0
808
1486
090
000
yxPpoints