MA.912.NSO.1.1 · Expressions, Functions, and Data Analysis

Rational Exponents and the Laws of Exponents: Sample Algebra 1 EOC Questions

Algebra 1 extends the exponent rules students learned in 8th grade to fractional exponents, where a power like 27 to the two-thirds means a cube root raised to the second power. Students evaluate these numerical expressions and rewrite them in equivalent radical or exponential form.

How the Algebra 1 EOC tests this benchmark

Every EOC item for this benchmark must involve at least one fractional exponent, and the work is numerical rather than symbolic. Expect multiple choice items matching an expression to its equivalent form, equation editor items asking for the value, and drop-down items completing a chain of exponent rules. The scientific calculator is available, so the difficulty is knowing which rule applies, not the arithmetic.

Skills students need

Rewrite a rational exponent as a radical and back again
Evaluate numerical expressions with fractional exponents
Apply the product, quotient, and power rules to rational exponents
Generate an equivalent numerical expression

Try 6 real MA.912.NSO.1.1 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Choice

Which expression is equivalent to

\sqrt[4]{5^3}

Showcase extra: the real practice and quiz players do not have this button.

Question 4MediumMatching

Match each radical expression to its value. Not every value will be used.

Pick one match in each row, then check.

	A. $16$	B. $64$	C. $81$	D. $243$
$\sqrt[4]{256^3}$
$\sqrt[5]{32^4}$
$\sqrt[6]{729^5}$

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More Algebra 1 expressions, functions, and data benchmarks

MA.912.NSO.1.2

Equivalent Algebraic Expressions Using Properties of Exponents

MA.912.NSO.1.4

Adding, Subtracting, Multiplying, and Dividing Radicals

MA.912.AR.1.1

Interpreting the Parts of an Expression or Equation