Scribd
Upload
205 views5 pages

Midterm - Pre-Calculus

The document is a midterm exam for a pre-calculus class testing students on topics including coordinate geometry, lines, functions, and parabolas. It contains a multiple choice section with 15 questions and a mathematical computation section with problems involving finding midpoints and distances between points, writing equations of lines, graphing circles and parabolas, and determining domains and ranges of functions. An answer key is provided to check the students' work.

Uploaded by

Jay Luisaga Novenario
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
205 views5 pages

Midterm - Pre-Calculus

The document is a midterm exam for a pre-calculus class testing students on topics including coordinate geometry, lines, functions, and parabolas. It contains a multiple choice section with 15 questions and a mathematical computation section with problems involving finding midpoints and distances between points, writing equations of lines, graphing circles and parabolas, and determining domains and ranges of functions. An answer key is provided to check the students' work.

Uploaded by

Jay Luisaga Novenario
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 5

EDUCATIONAL SYSTEMS TECHNOLOGICAL INSTITUTE

Murallon, Boac, Marinduque


MIDTERM EXAMINATION
PRE - CALCULUS
S.Y. 2022-2023

Name: _______________________________________ Score: _____________


Grade & Strand: ___________________________ Date: _______________

I. In circle the letter that corresponds to the correct answer.


1. Which of the following does not lie in any of the quadrants?
A. (2,3) B. (-3,-2) C. (0,2) D. (3,-2)
2. The y-intercept of the line 5x + 3y + 15 = 0 is
A. 15 B. -3 C. 5 D. -5
3. The x-intercept of the line 5x - 4y = 20 is
A. 4 B. 20 C. -4 D. -5
4. The coordinates of the midpoint of point A(4,8), B(-4,2) is
A. (5,0) B. (0,5) C. (4,5) D. (-4,5)
5. The distance between A(2,5), B(6,2) is
A. 4 B. 6 C. 5 D. √ 5
6. The slope of line 5x + y = 20 is
A. 20 B. 5 C. 4 D. -5
7. What is the equation of the line whose slope is -5 and b=7 is
A. y = 5x + 7 B. 7x – 5 C. x + y = 5 D. y – 5x = 7
8. What is the equation of the line a=2, b=1
A. x+ y = 2 B. x + 2y = 2 C. 2x + 4y = 1 D. -x + 2y = 2
9. Find the shortest distance from (1,-2) to 3x -4y + 4 = 0 is
A. 5 B. 4 C. 3 D. 2
10. What is the equation of the circle whose center and radius are C(0,0), r=√ 10 is
A. x 2 + y 2=10 B. x 2 + y 2=100 C. x 2 + y 2= √ 10 D. x 2 + y 2=1
3x
11. What values of x are excluded from the domain of the function 2
x −25
A. (1,0) B. (-2,2) C. (-3,3) D. (-5,5)
2 x+3
12. Which of the following cannot be an element of the domain of the function f ( x )=
x−2
A. 0 B. 2 C. 3 D. -3
13. Is defined as a locus of points that are equidistant from a given fixed point in the plane.
A. circle B. parabola C. line D. curved
14. Is chord that passes through the center of a circle.
A. radius B. diameter C. tangent line D. secant line
2
15. y =−6 x is a parabola that open ___________
A. downward B. upward C. open to the left D. open to the right

II. Mathematical Computation


A. Find the coordinates of the midpoint of each pair of points.
1. (-2, -5), (10, 3)
2. (9, -7), (-7, 5)
3. (3, -1), (4, 4)
B. Find the distance between each pair of points.
1. A(2, 5), B(6, 2)
2. C(-3, 9), D(3, 9)
C. Write the equation of the line in slope intercept form, standard form, and general form.
1. m = -3 and b = 7
2. A (2, 5), m = 4
D. Find the distance between the given points and lines.
1. (1, 2), 3x + 4y – 1 = 0
2. (-4, 1), x – y = 3
E. Determine the vertex directrix, focus, latus rectum of the parabola with the given equation. Sketch
the graph.
1. y 2=36 x
2. x 2−4 x−4 y+16=0
F. Show the graph of
1. (x−2)2+( y +1)2=9
2. x 2+ y 2−4 x +2 y−20=0
G. Find the domain and range of the following.
1. x 2−3 y +6=0
x −3
2. y=
2 x+1
3. y= √1+2 x

“Mathematics give us hope that every problem has a solution.” – Unknown

Prepared by:
EDITO GARNIEL
High School Teacher

Checked by:
EMILIANA N. ACOSTA
Principal

Approved by:
DR. CITA J. LARGA
President
Answer Key: (Pre-Calculus)
I.
1. C 6. D 11. D
2. D 7. A 12. 2
3. A 8. B 13.A
4. B 9. C 14. B
5. C 10. A 15. C
II.
A. B. C. D.
1. (4, -1) 1. 5 1. y = -3x + 7 2. y = 4x – 3 1. 2
2. (1, -1) 2. 6 3x + y = 7 4x – y = 3 2.4 √ 2
7 3
3. ( , ¿ 3x + y – 7 =0 4x – y – 3 =0
2 2
E.

You might also like