Mathematics Quiz

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Comprehensive Mathematics Quiz

Test your mathematical knowledge with our comprehensive quiz featuring 24 diverse questions covering various topics including geometry, algebra, and systems of equations!

Prepare to challenge yourself with the following:

  • Multiple choice questions
  • Problem-solving scenarios
  • Assessment of geometric concepts
24 Questions6 MinutesCreated by SolvingStar101
1) The corner points of a feasible region based upon certain constraints are (0, 0), (25, 0), (16, 16), and (0, 24) for the objective function Z = 4x + 3y. What is the maximum value of the objective function?
72
112
172
100
2) Find the center (h, k) and radius r of the circle with the given equation, x^2 + y^2 + 6x + 8y + 9 = 0
(h, k) = (3, 4); r = 4
(h, k) = (3,4); r = 4
(h, k) = (-3, -4); r = 4
(h, k) = (-3, 4); r = 4
1
2
3
0
4)Solve the System of linear equations x+2y-z=1 ; x+y+2z=9 ; 2x+y-z=2
2,2,3
2,1,3
-1,4,0
Infinite solution
5)The corner points of a feasible region based upon certain constraints are (0, 8), (1, 5), (2, 4), and (10, 0) for the objective function Z = 3x + 5y. What is the minimum value of the objective function?
22
26
40
28
6)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 + 6x + 5 = 0
(h,k)=(0,3);r=4
(h,k)=(3,0); r=2
(h, k) = (-3, 0); r = 2
(h, k) = (-3, 0); r =4
1
2
3
0
8)Solve the System of linear equations 2x+y+z=4 ; x-y+3z=3 ; 4x-y-z=2
-1,1,1
)-1-,1,-1
1,1,1
Infinite solution
9)The corner points of a feasible region based upon certain constraints are (0, 0), (30, 0), (18, 12), and (0, 24) for the objective function Z = 5x + 6y. What is the maximum value of the objective function?
144
150
162
168
10)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 + 8x + 10y - 8= 0
(h,k)=(4,-5); r=7
(h,k)=(4,5); r=7
(h, k) =(-4, -5); r = 7
(h, k) = (-4, 5); r = 7
1
2
3
0
12)Solve the System of linear equations x+y+z=3 ; x+2y+3z=4 ; x+4y+9z=6
1,2,0
2,1,0
1,0,2
Infinite solution
13)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 -2x -4y - 11 = 0
(h,k) = (-1, -2); r = 4
(h,k)=(1,2,); r = 4
(h,k) = (2, 1); r = 2
(h,k) = (-2, -1); r = 2
14)The corner points of a feasible region based upon certain constraints are (3, 2), (0,5), (3,5), and (0, 2) for the objective function Z = 11x + 7y. What is the maximum value of the objective function?
68
47
37
35
15)Solve the System of linear equations x+2y-z=1 ; x+y+2z=9 ; 2x+y-z=2
2,0,-1
1,1,1
2,1,3
Infinite solution
1
2
3
0
17)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 + 8x + 8 = 0
(h,k) = (0, 4); r=2√2
(h,k)=(4,0); r= 4√2
(h,k) = (-4,0);r=4√2
(h,k) =(-4,0); r=2√2
18)The corner points of a feasible region based upon certain constraints are (-2,4), (0,6), (7,9), and (6, 0) for the objective function Z = 12x - 5y. What is the maximum value of the objective function?
72
-44
-30
39
19)Solve the System of linear equations x+2y+3z=14 ; 3x+y+2z=11 ; 2x+3y+z=11
1,2,3
1,6,1
1,2,2
Infinite solution
1
2
3
0
21)Find the center (h, k) and radius r of the circle with the given equation x^2 + y^2 -4x - 6y +13= 4
(h,k) = (2, 3); r = 2
(h,k) = (2, 3); r = 4
)(h,k) = (2, -3); r = 2
(h,k) = (-2, -3); r = 4
22)The corner points of a feasible region based upon certain constraints are (-3, 2), (0,-5), (3,5), and (2, 0) for the objective function Z = 5x + 13y. What is the maximum value of the objective function?
18
11
-55
80
23)Solve the System of linear equations x+y+z=3 ; x+2y+3z=4 ; x+4y+9z=6
1,2,0
2,1,0
1,0,2
Infinite solution
1
2
3
0
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