College Algebra Final exams with
solved questions and answers
Find the slope of the line through P(5, -1) and Q(0, 4).
a) m = 0
b) m = 1
c) m = -1
d) m = -3/5
e) undefined; no slope - answersc) m = -1
Write the equation of the line that passes through the point P (3, 4) and is perpendicular
to the line y = -5x + 8.
a)y=1/5x +8
b)y=1/5x +4.6
c)y=1/5x +3.4
d)x=3.4y +1/5
e)y=x +3/4 - answersc) y=1/5x +3.4
If f(x) and g(x) are inverse functions, describe the position of the graphs that evidences
their inverse relationship. - answersThe graphs reflect about the line y = x.
Find the y-intercept of the line determined by the equation.
-7x + 5y = 3
a) (-7/5, 0)
b) (0, -3/5)
c) (0, 7/5)
d) (0, -7/5)
e) (0, 3/5) - answerse) (0, 3/5)
Indicate whether the equation determines y to be a function of x. Match each equation
with the corresponding answer.
y-2x=0 - answersyes
Indicate whether the equation determines y to be a function of x.
y=square root of x - answersyes
Make up an even function with two or more terms and describe the process
algebraically that proves it is even. - answersy=2x^2+3. If you get the same number
, when you insert a negative number as when you insert a positive number then the
equation is even.
Find the value(s) of x for which f (x) = g (x)
f(x) = x^2 + 7x + 33
g(x) = -6x - 9
a)6, 7
b)-40, -3/2
c)33, 7, -3/2
d)-6,-7
e)33, 26, -3/2 - answersd)-6, -7
Find the domain of the function
f(x) = |x-5|
a)all real numbers
b)all real numbers except 5
c)x=5
d)all real numbers except 5 and 0 - answersa)all real numbers
Find the domain of the function
q(s) = square root of 64 -s^2
a)all real numbers
b)-8 less than or equal to s 8 greater than or equal to s
c)s less than or equal to -8 or s greater than or equal to 8
d)s greater than or equal to 0
e)s less than or equal to 8 - answersb)
Describe the sequence of transformations from f(x) to g(x).
f(x) = x2
g(x ) = (x + 4)^2
a. horizontal shift 4 units left
b. vertical shift 4 units up
c. vertical stretch by a factor of 4
d. vertical shift 4 units down
e. horizontal shift 4 units right - answersa.
Describe the sequence of transformations from f(x) to g(x).
f(x) = square root of x
g(x) = - square root of x + 6
a. reflection in the x-axis; then vertical shift 6 units up
b. reflection in the x-axis; then vertical shift 6 units down
solved questions and answers
Find the slope of the line through P(5, -1) and Q(0, 4).
a) m = 0
b) m = 1
c) m = -1
d) m = -3/5
e) undefined; no slope - answersc) m = -1
Write the equation of the line that passes through the point P (3, 4) and is perpendicular
to the line y = -5x + 8.
a)y=1/5x +8
b)y=1/5x +4.6
c)y=1/5x +3.4
d)x=3.4y +1/5
e)y=x +3/4 - answersc) y=1/5x +3.4
If f(x) and g(x) are inverse functions, describe the position of the graphs that evidences
their inverse relationship. - answersThe graphs reflect about the line y = x.
Find the y-intercept of the line determined by the equation.
-7x + 5y = 3
a) (-7/5, 0)
b) (0, -3/5)
c) (0, 7/5)
d) (0, -7/5)
e) (0, 3/5) - answerse) (0, 3/5)
Indicate whether the equation determines y to be a function of x. Match each equation
with the corresponding answer.
y-2x=0 - answersyes
Indicate whether the equation determines y to be a function of x.
y=square root of x - answersyes
Make up an even function with two or more terms and describe the process
algebraically that proves it is even. - answersy=2x^2+3. If you get the same number
, when you insert a negative number as when you insert a positive number then the
equation is even.
Find the value(s) of x for which f (x) = g (x)
f(x) = x^2 + 7x + 33
g(x) = -6x - 9
a)6, 7
b)-40, -3/2
c)33, 7, -3/2
d)-6,-7
e)33, 26, -3/2 - answersd)-6, -7
Find the domain of the function
f(x) = |x-5|
a)all real numbers
b)all real numbers except 5
c)x=5
d)all real numbers except 5 and 0 - answersa)all real numbers
Find the domain of the function
q(s) = square root of 64 -s^2
a)all real numbers
b)-8 less than or equal to s 8 greater than or equal to s
c)s less than or equal to -8 or s greater than or equal to 8
d)s greater than or equal to 0
e)s less than or equal to 8 - answersb)
Describe the sequence of transformations from f(x) to g(x).
f(x) = x2
g(x ) = (x + 4)^2
a. horizontal shift 4 units left
b. vertical shift 4 units up
c. vertical stretch by a factor of 4
d. vertical shift 4 units down
e. horizontal shift 4 units right - answersa.
Describe the sequence of transformations from f(x) to g(x).
f(x) = square root of x
g(x) = - square root of x + 6
a. reflection in the x-axis; then vertical shift 6 units up
b. reflection in the x-axis; then vertical shift 6 units down
