Introduction to pre calculus problems exam:
Pre calculus is the advanced form of school algebra and its exam. Actually, pre algebra gives us a brief introduction to algebra while Pre Calculus exam explores some of the important topic about calculus. Pre calculus includes sets, real numbers, complex numbers solving inequalities and equations, properties of functions, composite functions, polynomial functions, rational functions, etc.
Sample Pre Calculus Problems Exam:
Pre calculus problem 1:
Find the perpendicular bisector equation of the line which passes through (4, -2) and (6, 6).
Solution;
The perpendicular bisector is given by
P = (x1 + x2) / 2, (y1 + y2) / 2
P = ((4 + 6) / 2, (-2 + 6) / 2).
= (5, 2)
The slope of the line segment (m1) is given by
m1 = (- 2 - 6) / (4 - 6)
= 4
So the slope of the perpendicular bisector m2 will be
m2 = -1 / m1
= - 1/4.
Therefore, the equation for perpendicular bisector is,
y – 2 = - 1 / 4(x - 5)
y = (- 1 / 4) x + (5 / 4) + 2
y = (-1 / 4) x + 13 / 2
Pre calculus problem 2:
Find an equation of the line which passes through (2, 6) and is parallel to the line 4x - 3y = 24
Solution:
4x - 3y= 24,
Solve the above last equation for y
we get, y = (4/3) x - 8
So this line has the slope m = 4/ 3.
The parallel in has its slope is also 4 / 3,
So the equation becomes
y- (-6) = (4/3) (x - (-2))
y+6 = (4/3) (x+2)
y = (4/3) x + 8/3 - 6
y = (4/3) x - 10/3
Understanding math problem solver for free is always challenging for me but thanks to all math help websites to help me out.
Pre Calculus Problems Exam-test Problems:
Exam problem 1:
Find the perpendicular bisector equation of the line which passing through the points (6, -3) and (2, 5).
Answer: y = 1 / 2x -1
Exam problem 2:
Find an equation of the line which passes through (4, -3) and is perpendicular to the line 2x – 5x = 20.
Answer: y = - 5 / 2x +7
Exam problem 3:
Find an equation of the circle with center C (7, -5) which is tangent to the x-axis.
Answer: (x-7)2 + (y +5)2 = 25
Pre calculus is the advanced form of school algebra and its exam. Actually, pre algebra gives us a brief introduction to algebra while Pre Calculus exam explores some of the important topic about calculus. Pre calculus includes sets, real numbers, complex numbers solving inequalities and equations, properties of functions, composite functions, polynomial functions, rational functions, etc.
Sample Pre Calculus Problems Exam:
Pre calculus problem 1:
Find the perpendicular bisector equation of the line which passes through (4, -2) and (6, 6).
Solution;
The perpendicular bisector is given by
P = (x1 + x2) / 2, (y1 + y2) / 2
P = ((4 + 6) / 2, (-2 + 6) / 2).
= (5, 2)
The slope of the line segment (m1) is given by
m1 = (- 2 - 6) / (4 - 6)
= 4
So the slope of the perpendicular bisector m2 will be
m2 = -1 / m1
= - 1/4.
Therefore, the equation for perpendicular bisector is,
y – 2 = - 1 / 4(x - 5)
y = (- 1 / 4) x + (5 / 4) + 2
y = (-1 / 4) x + 13 / 2
Pre calculus problem 2:
Find an equation of the line which passes through (2, 6) and is parallel to the line 4x - 3y = 24
Solution:
4x - 3y= 24,
Solve the above last equation for y
we get, y = (4/3) x - 8
So this line has the slope m = 4/ 3.
The parallel in has its slope is also 4 / 3,
So the equation becomes
y- (-6) = (4/3) (x - (-2))
y+6 = (4/3) (x+2)
y = (4/3) x + 8/3 - 6
y = (4/3) x - 10/3
Understanding math problem solver for free is always challenging for me but thanks to all math help websites to help me out.
Pre Calculus Problems Exam-test Problems:
Exam problem 1:
Find the perpendicular bisector equation of the line which passing through the points (6, -3) and (2, 5).
Answer: y = 1 / 2x -1
Exam problem 2:
Find an equation of the line which passes through (4, -3) and is perpendicular to the line 2x – 5x = 20.
Answer: y = - 5 / 2x +7
Exam problem 3:
Find an equation of the circle with center C (7, -5) which is tangent to the x-axis.
Answer: (x-7)2 + (y +5)2 = 25
