Algebra with Exponents - Binomial and Monomial

Level 2

This math topic focuses on algebra with exponents, specifically involving binomial and monomial expressions. It's a part of a broader unit on exponents that includes negative, fractional, and power laws. The problems require students to simplify and solve exponential equations for variables, with multiple-choice answers available for each question. This helps students develop skills in manipulating exponential expressions and solving equations using exponent rules.

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
Simplify and solve for q
A LaTex expression showing {{6}} to the power of {(2q + 5) } = 216 to the power of q
a A LaTex expression showing q = 5
b A LaTex expression showing q = 7
c A LaTex expression showing q = 6
d A LaTex expression showing q = 4
2
Simplify and solve for w
A LaTex expression showing {{3}} to the power of {(5w - 6) } = 9 to the power of w
a A LaTex expression showing w = 4
b A LaTex expression showing w = 3
c A LaTex expression showing w = 1
d A LaTex expression showing w = 2
3
Simplify and solve for w
A LaTex expression showing {{4}} to the power of {(9w - 6) } = 64 to the power of w
a A LaTex expression showing w = 0
b A LaTex expression showing w = 3
c A LaTex expression showing w = 2
d A LaTex expression showing w = 1
4
Simplify and solve for x
A LaTex expression showing {{9}} to the power of {(8x + 6) } = 81 to the power of x
a A LaTex expression showing x = 0
b A LaTex expression showing x = 1
c A LaTex expression showing x = -1
d A LaTex expression showing x = -2
5
Simplify and solve for r
A LaTex expression showing {{3}} to the power of {(5r - 8) } = 81 to the power of r
a A LaTex expression showing r = 8
b A LaTex expression showing r = 9
c A LaTex expression showing r = 10
d A LaTex expression showing r = 7
6
Simplify and solve for t
A LaTex expression showing {{2}} to the power of {(4t + 9) } = 32 to the power of t
a A LaTex expression showing t = 9
b A LaTex expression showing t = 8
c A LaTex expression showing t = 10
d A LaTex expression showing t = 11
7
Simplify and solve for q
A LaTex expression showing {{3}} to the power of {(6q - 8) } = 81 to the power of q
a A LaTex expression showing q = 3
b A LaTex expression showing q = 6
c A LaTex expression showing q = 4
d A LaTex expression showing q = 5
8
Simplify and solve for n
A LaTex expression showing {{2}} to the power of {(8n - 9) } = 32 to the power of n
a A LaTex expression showing n = 2
b A LaTex expression showing n = 3
c A LaTex expression showing n = 4
d A LaTex expression showing n = 5