CLEP COLLEGE ALGEBRA (ACTUAL 2025/2026) QUESTIONS
AND VERIFIED CORRECT ANSWERS WITH SOLUTIONS
find the additive inverse of (expression) ----Answers----solve
the equation for y: y + (expression) = 0
it is the negative of the expression
raise expression to a negative number ----Answers----1/
(expression)^n
raise to a fractional power ----Answers----expression^1/n =
n rt (expression)
to determine whether a graph is a function ----Answers----
vertical line test
determine whether a graph matches that of an algebraic
function ----Answers----plug x-values into the function to
find the value of y, and determine if those points are on the
graph
given y=f(x) find the domain ----Answers----domain will be
infinity, infinity with 3 exceptions
1. any value of x that makes the denominator 0
2. any value of x that makes an even root of a negative number
, 3. any value of x that makes a term into the log of zero or the
log of a negative number
graph a line y=mx+b ----Answers----chose two values for x
and find the values of y draw a line between both points
determine whether a graph is odd, even, or neither ----
Answers----even- if the graph is symmetrical with respect to
y-axis
odd- if the graph is symmetrical with respect to the origin (I
and III and II and IV are mirror images)
given f(x) describe transformations ----Answers----f(x) + a is
a units up
f(x) - a is a units down
f(x-a) is a units to the right
f(x+a) is a units to the left
-f(x) reflects across x-axis
given a graph, determine how many roots ----Answers----
how many times the graph touches/crosses the x-axis
given a polynomial of degree n find the max and min # of roots
----Answers----max number of real roots is n
if n is even, the min is 0
if n is odd the min is 1
AND VERIFIED CORRECT ANSWERS WITH SOLUTIONS
find the additive inverse of (expression) ----Answers----solve
the equation for y: y + (expression) = 0
it is the negative of the expression
raise expression to a negative number ----Answers----1/
(expression)^n
raise to a fractional power ----Answers----expression^1/n =
n rt (expression)
to determine whether a graph is a function ----Answers----
vertical line test
determine whether a graph matches that of an algebraic
function ----Answers----plug x-values into the function to
find the value of y, and determine if those points are on the
graph
given y=f(x) find the domain ----Answers----domain will be
infinity, infinity with 3 exceptions
1. any value of x that makes the denominator 0
2. any value of x that makes an even root of a negative number
, 3. any value of x that makes a term into the log of zero or the
log of a negative number
graph a line y=mx+b ----Answers----chose two values for x
and find the values of y draw a line between both points
determine whether a graph is odd, even, or neither ----
Answers----even- if the graph is symmetrical with respect to
y-axis
odd- if the graph is symmetrical with respect to the origin (I
and III and II and IV are mirror images)
given f(x) describe transformations ----Answers----f(x) + a is
a units up
f(x) - a is a units down
f(x-a) is a units to the right
f(x+a) is a units to the left
-f(x) reflects across x-axis
given a graph, determine how many roots ----Answers----
how many times the graph touches/crosses the x-axis
given a polynomial of degree n find the max and min # of roots
----Answers----max number of real roots is n
if n is even, the min is 0
if n is odd the min is 1
