Algebro

MA.912.NSO.1.4 · Expressions, Functions, and Data Analysis

Adding, Subtracting, Multiplying, and Dividing Radicals: Sample Algebra 1 EOC Questions

Students carry their arithmetic with rational numbers into radical expressions: combining like radicals, multiplying two square roots, and rationalizing a quotient. Simplifying so the radicand carries no perfect square or perfect cube factor is usually part of the job.

How the Algebra 1 EOC tests this benchmark

EOC items apply a single operation to two square roots or two cube roots, never a long chain. The answer is expected in simplest radical form, which is where most points are lost. Equation editor items ask for the simplified radical directly; multiple choice items pair the correct value with unsimplified and mis-simplified distractors.

Skills students need

  • Add and subtract like radicals
  • Multiply two square roots or two cube roots
  • Divide radicals and rationalize the result
  • Simplify a radicand with a perfect square or cube factor

Try 6 real MA.912.NSO.1.4 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
Multiply and simplify completely. 4323\sqrt[3]{4} \cdot \sqrt[3]{2}

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

Master MA.912.NSO.1.4 with personalized practice

These 6 questions are the free showcase. Algebro runs 37,000+ total questions, with practice for every one of the 43 Algebra 1 benchmarks and a full-length 45-item adaptive EOC practice test with the on-screen scientific calculator. Take it, get a study plan that targets your gaps, and practice with an AI tutor that explains every step.

Start the Free Trial
MA.912.NSO.1.4: Operations with Radicals Practice | Algebro