WorksheetsMath 9 - Elimination Round
Total questions: 20
Worksheet time: 10mins
If the volume of a cube is 64 cubic units, what is the length of one side?
4 units
8 units
16 units
2 units
Which of the following equations represents direct variation?
y = kx
y = k/x
y = kx^2
y = k + x
In a combined variation problem, if y varies directly with x and inversely with z, which of the following represents this relationship?
y = kxz
y = kx/z
y = k/zx
y = kx + z
Which of the following equations represents indirect variation?
y = k/x
y = kx
y = k + x
y = kx^2
If y varies directly with x and z, and y = 12 when x = 3 and z = 2, what is the value of k?
2
4
6
8
In a direct variation, if y = 20 when x = 5, what is the value of k?
4
5
10
15
What is the area of a parallelogram with a base of 10 units and a height of 5 units?
50 square units
25 square units
15 square units
30 square units
In a triangle, if one angle measures 60 degrees and another measures 90 degrees, what is the measure of the third angle?
30 degrees
60 degrees
90 degrees
120 degrees
Which of the following statements is true about the diagonals of a parallelogram?
They are always equal in length.
They bisect each other.
They are perpendicular to each other.
They do not intersect.
What is the perimeter of a rectangle with a length of 12 units and a width of 5 units?
34 units
30 units
24 units
60 units
If y varies inversely with x, and y = 8 when x = 2, what is the value of k?
4
16
2
10
In a right triangle, if the lengths of the two legs are 6 units and 8 units, what is the length of the hypotenuse?
10 units
12 units
14 units
8 units
Which of the following represents the solution set for the quadratic inequality x^2 - 5x + 6 < 0?
x < 2
2 < x < 3
x > 3
x = 2 or x = 3
What are the roots of the quadratic equation x^2 - 4x + 3 = 0?
x = 1 and x = 3
x = -1 and x = -3
x = 0 and x = 4
x = 2 and x = 2
Which of the following represents the vertex form of a quadratic function?
y = a(x - h)^2 + k
y = ax^2 + bx + c
y = a(x + h)^2 - k
y = a(x^2 + bx + c)
What is the axis of symmetry for the quadratic function y = 2x^2 - 8x + 6?
x = 2
x = 4
x = -2
x = -4
What is the vertex of the quadratic function represented by the inequality y = -2x^2 + 8x - 5?
(2, 3)
(4, 3)
(2, -1)
(-2, 5)
For the quadratic inequality 2x^2 - 8x + 6 < 0, what is the range of values for x?
x < 1
1 < x < 3
x > 3
x = 1 or x = 3
In a joint variation problem, if y varies directly with x and z, and y = 30 when x = 5 and z = 3, what is the value of k?
2
3
5
6
What is the angle of elevation from a point on the ground to the top of a 15-meter tall building if the point is 20 meters away from the base of the building?
36.87 degrees
45 degrees
53.13 degrees
60 degrees
