**Instructions: Circle the correct answer. (15 questions x 1 point each = 15 points)**

1. The equation \( ax^2 + bx + c = 0 \) will be quadratic if:
   - (A) \( b \neq 0 \)
   - (B) \( c \neq 0 \)
   - (C) \( a \neq 0 \)
   - (D) \( a = 0 \)

2. The standard form of \( (x + 7)^2 - 7' \) is:
   - (A) \( x^2 - 4x + 14 = 0 \)
   - (B) \( x^2 - 2x - 7 = 0 \)
   - (C) \( 4x = 7 \)
   - (D) \( 7 = 4x \)

3. Partial fractions for \( \frac{1}{(x^2 + 4)} \) are:
   - (A) \( \frac{A}{x+2} + \frac{B}{x-2} \)
   - (B) \( \frac{Ax + B}{(x^2+4)} \)
   - (C) \( \frac{B}{x^2 + 4} \)
   - (D) \( \frac{A + B + C}{x^2 + 4} \)

4. If \( E \cup O = ? \)
   - (A) N
   - (B) O
   - (C) E
   - (D) All

5. The intersection of \( A \) and \( B \) is:
   - (A) \( A \cap (B \cup C) \)
   - (B) \( A \cup B \)
   - (C) \( (A \cap B) \)
   - (D) \( A + B \)

6. If set \( A \) has 5 elements and \( B \) has 4, then \( A \times B \) has:
   - (A) 20
   - (B) 15
   - (C) 12
   - (D) 8

7. The Range of \( R \) is, if \( R = \{(1,3), (2,2), (3,1), (4,4)\} \):
   - (A) \( \{1, 3, 4\} \)
   - (B) \( \{2, 3, 4\} \)
   - (C) \( \{1, 2, 3, 4\} \)
   - (D) \( \{1, 2, 4\} \)

8. \( 1^{\circ} = \):
   - (A) \( \frac{\pi}{180} \)
   - (B) \( \frac{180}{\pi} \)
   - (C) \( \frac{2\pi}{360} \)
   - (D) \( 1 \text{ radian} \)

9. What is \( 1 \text{ radian} = ? \)
   - (A) \( \frac{180}{\pi} \)
   - (B) \( 60^{\circ} \)
   - (C) \( \frac{\pi}{180} \)
   - (D) \( 180^{\circ} \)

10. \( 20^{\circ} = \):
    - (A) \( \frac{20 \times 360}{180} \)
    - (B) \( 3600^{\circ} \)
    - (C) \( 1200^{\circ} \)
    - (D) \( 630^{\circ} \)

11. A complete circle is divided into:
    - (A) 90 degrees
    - (B) 180 degrees
    - (C) 270 degrees
    - (D) 360 degrees

12. Any two angles in a segment of a circle are:
    - (A) Different
    - (B) Equal
    - (C) Complementary
    - (D) Supplementary

13. The line passing through the vertices of a triangle is known as:
    - (A) None of the above
    - (B) Circumscribe
    - (C) Incircle
    - (D) Escribe

14. The length of two transverse tangents to a pair of circles are:
    - (A) Zero
    - (B) Unequal
    - (C) Overlapping
    - (D) Equal

Instructions Circle Correct Answer Questions Point

Created on February 28, 2025

Prompt

Instructions: Circle the correct answer. (15 questions x 1 point each = 15 points)

  1. The equation ( ax^2 + bx + c = 0 ) will be quadratic if:

    • (A) ( b \neq 0 )
    • (B) ( c \neq 0 )
    • (C) ( a \neq 0 )
    • (D) ( a = 0 )
  2. The standard form of ( (x + 7)^2 - 7' ) is:

    • (A) ( x^2 - 4x + 14 = 0 )
    • (B) ( x^2 - 2x - 7 = 0 )
    • (C) ( 4x = 7 )
    • (D) ( 7 = 4x )
  3. Partial fractions for ( \frac{1}{(x^2 + 4)} ) are:

    • (A) ( \frac{A}{x+2} + \frac{B}{x-2} )
    • (B) ( \frac{Ax + B}{(x^2+4)} )
    • (C) ( \frac{B}{x^2 + 4} )
    • (D) ( \frac{A + B + C}{x^2 + 4} )
  4. If ( E \cup O = ? )

    • (A) N
    • (B) O
    • (C) E
    • (D) All
  5. The intersection of ( A ) and ( B ) is:

    • (A) ( A \cap (B \cup C) )
    • (B) ( A \cup B )
    • (C) ( (A \cap B) )
    • (D) ( A + B )
  6. If set ( A ) has 5 elements and ( B ) has 4, then ( A \times B ) has:

    • (A) 20
    • (B) 15
    • (C) 12
    • (D) 8
  7. The Range of ( R ) is, if ( R = {(1,3), (2,2), (3,1), (4,4)} ):

    • (A) ( {1, 3, 4} )
    • (B) ( {2, 3, 4} )
    • (C) ( {1, 2, 3, 4} )
    • (D) ( {1, 2, 4} )
  8. ( 1^{\circ} = ):

    • (A) ( \frac{\pi}{180} )
    • (B) ( \frac{180}{\pi} )
    • (C) ( \frac{2\pi}{360} )
    • (D) ( 1 \text{ radian} )
  9. What is ( 1 \text{ radian} = ? )

    • (A) ( \frac{180}{\pi} )
    • (B) ( 60^{\circ} )
    • (C) ( \frac{\pi}{180} )
    • (D) ( 180^{\circ} )
  10. ( 20^{\circ} = ):

    • (A) ( \frac{20 \times 360}{180} )
    • (B) ( 3600^{\circ} )
    • (C) ( 1200^{\circ} )
    • (D) ( 630^{\circ} )
  11. A complete circle is divided into:

    • (A) 90 degrees
    • (B) 180 degrees
    • (C) 270 degrees
    • (D) 360 degrees
  12. Any two angles in a segment of a circle are:

    • (A) Different
    • (B) Equal
    • (C) Complementary
    • (D) Supplementary
  13. The line passing through the vertices of a triangle is known as:

    • (A) None of the above
    • (B) Circumscribe
    • (C) Incircle
    • (D) Escribe
  14. The length of two transverse tangents to a pair of circles are:

    • (A) Zero
    • (B) Unequal
    • (C) Overlapping
    • (D) Equal