CLEP COLLEGE ALGEBRA EXAM(ACTUAL
EXAM) WITH CORRECT ACTUAL
QUESTIONS AND CORRECTLY WELL
DEFINED ANSWERS LATEST ALREADY
GRADED A+ 2026
if there is NO radical and NO denominator -- then there are
NO restrictions and thus the domain is (-infiniti, +infiniti)
Undefined function - ANSWERS-when the denominator
equals ZERO
Y-Intercept - ANSWERS-the value of the function when X = 0
plug in 0 for any x values and solve for Y
Reciprocals - ANSWERS-Reciprocals of Integers: 1/a
i.e. 6 --> 1/6
,Reciprocals of Fractions: flip the fraction
i.e. 3/4 --> 4/3
*the product of a number and its reciprocal = 1 always*
i.e. 6 --> 6/1 * 1/6 = 1
i.e. 3/4 --? 3/4 * 4/3 = 1
a c a d ad
---- / --- = --- x --- --> ----
b d b c bc - ANSWERS-these are the SAME
Multiplying with Exponents - ANSWERS-bases must be the
SAME -- exponents do not have to be the SAME
base stays the same, ADD the exponents
x^a * x^b = x^a+b
,EX: 2^4 * 2^9 = 2^13
EX: 3^2 * 2^2 * 3^3 * 2^4 = 3^2+4 * 2^4
Inverse of a function - ANSWERS-switch x and y then solve
for the new y
EX: y = 3/2x - 8
Inverse: x = 3/2y - 8
Graphs - ANSWERS-f(x) + a shift a units UP
f(x) - a shift a units DOWN
f (x - a) shift a units RIGHT
f (x + a) shift a units LEFT
-f(x) reflect across x-axis
Degree - ANSWERS-SUM of the exponents
***Associative*** - ANSWERS-a(bc) = (ab)c
***Commutative*** - ANSWERS-a+b = b+a and ab=ba
, ***Distributive*** - ANSWERS-a(b+c) = ab + ac
Find the inverse f^-1 of a given function y = f(x) - ANSWERS-
interchange x and y and solve for y
Real Solutions?? - ANSWERS-
Find the nth term in a sequence - ANSWERS-An = a1 + (n - 1)
d
A1 = first term
d = common difference
n = value for n
Absolute Value - ANSWERS-the distance of a number from
zero on a number line; NEVER negative
Base - ANSWERS-a^b
a is the base
EXAM) WITH CORRECT ACTUAL
QUESTIONS AND CORRECTLY WELL
DEFINED ANSWERS LATEST ALREADY
GRADED A+ 2026
if there is NO radical and NO denominator -- then there are
NO restrictions and thus the domain is (-infiniti, +infiniti)
Undefined function - ANSWERS-when the denominator
equals ZERO
Y-Intercept - ANSWERS-the value of the function when X = 0
plug in 0 for any x values and solve for Y
Reciprocals - ANSWERS-Reciprocals of Integers: 1/a
i.e. 6 --> 1/6
,Reciprocals of Fractions: flip the fraction
i.e. 3/4 --> 4/3
*the product of a number and its reciprocal = 1 always*
i.e. 6 --> 6/1 * 1/6 = 1
i.e. 3/4 --? 3/4 * 4/3 = 1
a c a d ad
---- / --- = --- x --- --> ----
b d b c bc - ANSWERS-these are the SAME
Multiplying with Exponents - ANSWERS-bases must be the
SAME -- exponents do not have to be the SAME
base stays the same, ADD the exponents
x^a * x^b = x^a+b
,EX: 2^4 * 2^9 = 2^13
EX: 3^2 * 2^2 * 3^3 * 2^4 = 3^2+4 * 2^4
Inverse of a function - ANSWERS-switch x and y then solve
for the new y
EX: y = 3/2x - 8
Inverse: x = 3/2y - 8
Graphs - ANSWERS-f(x) + a shift a units UP
f(x) - a shift a units DOWN
f (x - a) shift a units RIGHT
f (x + a) shift a units LEFT
-f(x) reflect across x-axis
Degree - ANSWERS-SUM of the exponents
***Associative*** - ANSWERS-a(bc) = (ab)c
***Commutative*** - ANSWERS-a+b = b+a and ab=ba
, ***Distributive*** - ANSWERS-a(b+c) = ab + ac
Find the inverse f^-1 of a given function y = f(x) - ANSWERS-
interchange x and y and solve for y
Real Solutions?? - ANSWERS-
Find the nth term in a sequence - ANSWERS-An = a1 + (n - 1)
d
A1 = first term
d = common difference
n = value for n
Absolute Value - ANSWERS-the distance of a number from
zero on a number line; NEVER negative
Base - ANSWERS-a^b
a is the base
