Mathematics IV (Advanced Algebra,Trigonometry And Statistics)

25 Questions | By Judilyn28143 | Updated: Mar 21, 2022 | Attempts: 345

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Mathematics is a broad subject and it includes trigonometry, statistic and algebra. The test below covers all this three sections and is designed to help you improve your skills. Give it a try and see if you should enroll into the mathematics competition this year. All the best and work hard!

Questions and Answers

1.

What constant term must be added to a-14a+___= 0 to make it a perfect square trinomial?
- A.
  
  -49
- B.
  
  7
- C.
  
  49
- D.
  
  -7
2.

Where is the vertex of the parabola f(x)=3(x-1)^2 +4?
- A.
  
  (3,4)
- B.
  
  (1,4)
- C.
  
  (-1,4)
- D.
  
  (-3,1)
3.

Which parabola does not have its axis of symmetry on the y-axis?
- A.
  
  Y=-x^2
- B.
  
  Y=x^2+2
- C.
  
  Y=2x^2
- D.
  
  Y=(x-2)^2
4.

What quadratic function has a maximum point?
- A.
  
  F(x)=-x^2+3
- B.
  
  F(x)=(x-4)^2+6
- C.
  
  F(x)=2x^2+3
- D.
  
  F(x)=(x)^2
5.

Which of the following is NOT a perfect square trinomial?
- A.
  
  A^2+10a+25
- B.
  
  Y^2+8y+7
- C.
  
  A^2-18a+81
- D.
  
  H^2-13h+169/4
6.

Find the product of (6x-3) and (x+5).
- A.
  
  6x^2-15
- B.
  
  6x^2+30x-15
- C.
  
  6x^2-27x-15
- D.
  
  6x^2+27x-15
7.

Which of the following equations of a parabola has the widest graph?
- A.
  
  Y=4x^2
- B.
  
  Y=x^2
- C.
  
  Y=2x^2
- D.
  
  Y=1/4x^2
8.

Factor x^2-64.
- A.
  
  (x-8)(x-8)
- B.
  
  (x-4)(x+16)
- C.
  
  (x+8)(x-8)
- D.
  
  (x+4)(x-16)
9.

What is the axis of symmetry of f(x)=(x+1)^2+1?
- A.
  
  X=1
- B.
  
  X=2
- C.
  
  X=-1
- D.
  
  X=-2
10.

Which of the following is equal to (x+2)(x+2) or (x+2)^2?
- A.
  
  X^2+2x+4
- B.
  
  X^2+4x+4
- C.
  
  X^2+4x+2
- D.
  
  X^2+4x-4
11.

Which of the following quadratic functions has the narrowest graph?
- A.
  
  F(x)=x^2
- B.
  
  F(x)=1/2x^2
- C.
  
  F(x)=4x^2
- D.
  
  F(x)=1/4x^2
12.

What is the turning point of the parabola?
- A.
  
  Vertex
- B.
  
  Origin
- C.
  
  Line of symmetry
- D.
  
  Axis
13.

Which of the following trinomials is a perfect square trinomial?
- A.
  
  X^2+8x+7
- B.
  
  X^2-8x+16
- C.
  
  X^2+8x+15
- D.
  
  X^2+12x+27
14.

Which of the following quadratic functions has the vertex at the origin?
- A.
  
  F(x)=4x^2
- B.
  
  F(x)=-3+14x^2
- C.
  
  F(x)=(x-0)^2+2
- D.
  
  F(x)=2(x-4)^2+5
15.

What is the quadratic function with zeros 2 and -3?
- A.
  
  F(x)=x^2+x-6
- B.
  
  F(x)=x^2+5x-6
- C.
  
  F(x)=x^2-x-6
- D.
  
  F(x)=x^2-x+6
16.

Which function is not quadratic?
- A.
  
  F(x)=2x^2
- B.
  
  F(x)=x-2
- C.
  
  F(x)=x^2+4x-12
- D.
  
  F(x)=5(x+3)^2
17.

What are the roots of x^2-5x-6=0?
- A.
  
  6 and -1
- B.
  
  -6 and 1
- C.
  
  -2 and -3
- D.
  
  2 and 3
18.

Find the solution set of the equation x^2+6x-7.
- A.
  
  -1,-5
- B.
  
  1,-7
- C.
  
  -1,7
- D.
  
  13,-19
19.

The nature of roots of 3x^2+5x+1=0
- A.
  
  Imaginary conjugates
- B.
  
  Real,unequal,rational
- C.
  
  Real,equal,rational
- D.
  
  Real,unequal,irrational
20.

What is the equation of the quadratic function whose graph is congruent to the graph of f(x)=x^2 with vertex at (0,3)?
- A.
  
  F(x)=x^2+3
- B.
  
  F(x)=-x^2+3
- C.
  
  F(x)=x^2-3
- D.
  
  F(x)=-x^2-3
21.

The vertex is the minimum point when the parabola opens downward.
- A.
  
  True
- B.
  
  False
22.

The polynomial of degree 2 is called square root function.
- A.
  
  True
- B.
  
  False
23.

The vertex is the maximum point when the parabola opens upward.
- A.
  
  True
- B.
  
  False
24.

The line of symmetry acts as a mirror which divides the parabola into two symmetrical parts.
- A.
  
  True
- B.
  
  False
25.

The vertex of the quadratic function f(x)=ax^2 is at the origin.
- A.
  
  True
- B.
  
  False