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?

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

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?

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

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

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?

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

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?

-44

-30

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

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?

-55

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

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