Algebra with Exponents - Binomial and Monomial

Level 1

This topic focuses on practicing algebra involving exponents, specifically with problems that involve binomials and monomials. It is part of a broader unit on handling negative, fractional, and power laws of exponents. The problems require simplifying algebraic expressions with exponents and solving for variables. The worksheet provides multiple-choice answers for each question, and each problem features expressions with powers to be equated and solved. The exercises challenge students to apply exponent laws critically to derive the values of variables within the equations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebra with Exponents - Binomial and Monomial Worksheet

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Algebra with Exponents - Binomial and Monomial
1
A LaTex expression showing {{5}} to the power of {(t + 3) } = 25 to the power of t
Simplify and solve for t
a A LaTex expression showing t = 3
b A LaTex expression showing t = 5
2
A LaTex expression showing {{6}} to the power of {(t + 4) } = 216 to the power of t
Simplify and solve for t
a A LaTex expression showing t = 2
b A LaTex expression showing t = 4
3
A LaTex expression showing {{9}} to the power of {(x - 3) } = 81 to the power of x
Simplify and solve for x
a A LaTex expression showing x = -4
b A LaTex expression showing x = -3
4
A LaTex expression showing {{2}} to the power of {(p - 6) } = 16 to the power of p
Simplify and solve for p
a A LaTex expression showing p = -2
b A LaTex expression showing p = -3
5
A LaTex expression showing {{9}} to the power of {(q + 8) } = 81 to the power of q
Simplify and solve for q
a A LaTex expression showing q = 10
b A LaTex expression showing q = 8
6
A LaTex expression showing {{5}} to the power of {(q - 8) } = 25 to the power of q
Simplify and solve for q
a A LaTex expression showing q = -9
b A LaTex expression showing q = -8
7
A LaTex expression showing {{4}} to the power of {(x + 3) } = 16 to the power of x
Simplify and solve for x
a A LaTex expression showing x = 3
b A LaTex expression showing x = 4
8
A LaTex expression showing {{5}} to the power of {(p - 6) } = 25 to the power of p
Simplify and solve for p
a A LaTex expression showing p = -5
b A LaTex expression showing p = -6