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Updated CLEP Algebra Test questions and answers with solutions 2024.
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Updated CLEP Algebra Test questions and answers with solutions 2024. Updated CLEP Algebra Test questions and answers with solutions 2024. Updated CLEP Algebra Test questions and answers with solutions 2024. Updated CLEP Algebra Test questions and answers with solutions 2024. Updated CLEP Algebr...

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  • August 27, 2024
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  • 2024/2025
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Updated CLEP Algebra Test questions

and answers with solutions
2024



What do you need to do to add / subtract fractions? - correct Answers ✔✔
-Get a common denominator

How do you multiply fractions? - correct Answers ✔✔ -Multiply numerators
and multiply denominators

How do you divide by a fraction / what do you do if you have a fraction in
the denominator? - correct Answers ✔✔ -Multiply the entire term by the
reciprocal fraction

Compute.
(1/3) + (7/5) - correct Answers ✔✔ -(1/3) + (7/5)
(5+21)/15
= 26/15

Compute.
[(3x-1) / (x^2-2)] + [1/(x-1)] - correct Answers ✔✔ -[(3x-1) / (x^2-2)] +
[1/(x-1)]
[(3x-1)(x+1) + (x^2-2)] / [(x^2-2)(x-1)
(3x^2 - 3x - x + 1 + x^2 - 2) / (x^3 - x^2 - 2x + 2)
= (3x^2 - 4x + 2) / x^3 - x^2 - 2x + 2)

What is another way to write √x ? - correct Answers ✔✔ -x^(1/2)

(√x)^2 = ? - correct Answers ✔✔ -x

,T or F
Roots and powers undo each other. - correct Answers ✔✔ -True

Properties of Exponents
How do you multiply 2 terms with the same base but different exponents?
- correct Answers ✔✔ -Add the exponents

Properties of Exponents
How do you multiply 2 terms with different bases but the same
exponents? - correct Answers ✔✔ -1) Multiply the bases
2) Raise this to the exponent

Properties of Exponents
How do you solve a term with an exponent, and that whole term is raised
to another exponent? - correct Answers ✔✔ -Multiply the exponents

Properties of Exponents
How do you divide terms with exponents? - correct Answers ✔✔ -Subtract
the exponents

Simplify.
[(4√9)^8] / [(4^2)-(3√8)] - correct Answers ✔✔ -[(4√9)^8] / [(4^2)-(3√8)]
[(9^(1/4))^8] / (16-2)
[9^((1/4)(8))] / 14
(9^2) / 14
=

Simplify.
[(-2)/((x^2)-1)] + [1/(x+1)] - [1/(x-1)] - correct Answers ✔✔ -[(-2)/((x^2)-
1)] + [1/(x+1)] - [1/(x-1)]
(-2+x-1-x-1) / [(x^2)-1]
= -4 / [(x^2)-1]

Simplify.
[(a^4)(b^3)] / [(a^3)(b^3)] - correct Answers ✔✔ -[(a^4)(b^3)] / [(a^3)
(b^3)]
=a

Simplify.
(a^b)^c - correct Answers ✔✔ -(a^b)^c
a^(bc)

,Degree of Polynomial - correct Answers ✔✔ -The highest exponent of x in
the polynomial

Constants are degree ___ polynomials. - correct Answers ✔✔ -0

What is the format for first degree polynomials? - correct Answers ✔✔ -y =
ax + b

What does the graph of a first degree polynomial look like? - correct
Answers ✔✔ -

What is the more common name for a second degree polynomial? -
correct Answers ✔✔ -Quadratic

What is the format for second degree polynomials? - correct Answers ✔✔ -
ax^2 + bx + c = 0

What does the graph of a second degree polynomial look like? - correct
Answers ✔✔ -

What are the steps to graphing polynomials? - correct Answers ✔✔ -1)
Plug in ± values for x (start with 0 and go outward from there) and solve
for y
2) Plot these points on the graph

What is another way of saying, "Find the zeroes of the polynomial"? -
correct Answers ✔✔ -Find the roots of the polynomaial

What are the ways you can find the roots of quadratics / second degree
polynomials? - correct Answers ✔✔ --Factoring
-Quadratic Formula

When factoring, the numbers must __________ to form the middle term and
__________ to form the last term of a quadratic. - correct Answers ✔✔ --add
-multiply

Write the quadratic formula. - correct Answers ✔✔ -

Factor.
x^2 - 6x + 9 - correct Answers ✔✔ -x^2 - 6x + 9
(x-3)(x-3)
= (x-3)^2

, On the CLEP exam, if asked to factor a problem, what is a short cut I can
do? - correct Answers ✔✔ -Expand the multiple choice answers until I get
the polynomial in the question

Factor.
x^2 + 6x + 8 - correct Answers ✔✔ -x^2 + 6x + 8
= (x+4)(x+2)

Find the roots of the following equation:
x^2 + 7x + 9 - correct Answers ✔✔ -x^2 + 7x + 9
x = [(-7) ± √((7^2)-(4⋅1⋅9)] / (2⋅1)
x = [(-7) ± √(49-36)] / 2
x = [(-7) ± √13] / 2

Factor.
x^2 - 4 - correct Answers ✔✔ -x^2 - 4
= (x+2)(x-2)

What are the steps to factor higher order polynomials? - correct Answers
✔✔ -1) Factor out any common factors
2) Guess and check until you factor the problem correctly

Factor.
x^3 - x - correct Answers ✔✔ -x^3 - x
x(x^2 - 1)
= x(x+1)(x-1)

How do you expand polynomials? - correct Answers ✔✔ -FOIL

Expand.
(x-7)(2x+3) - correct Answers ✔✔ -(x-7)(2x+3)
2x^2 + 3x -14x - 21
= 2x^2 -11x - 21

Expand.
(x^2 - 7x +1)(x^2 + 2x + 2) - correct Answers ✔✔ -(x^2 - 7x +1)(x^2 +
2x + 2)
x^4 + 2x^3 + 2x^2 - 7x^3 - 14x^2 - 14x + x^2 + 2x + 2
= x^4 - 5x^3 - 11x^2 - 12x + 2

Find the roots / zeroes of:
x^3 - 9x - correct Answers ✔✔ -x^3 - 9x
x(x^2 - 9)

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