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STAAR EOC Algebra I Roots and Radicals — practice questions

Explore 23 free Roots and Radicals questions in STAAR EOC Algebra I Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Roots and Radicals questions and exercises with answers

Showing questions 1–23 of 23.

The radical sign is described as denoting which square root?Read the answer and worked solution →The positive square root is also given which name?Read the answer and worked solution →The number written under the radical sign is called the:Read the answer and worked solution →A square root is considered simplified if its radicand contains no:Read the answer and worked solution →The Product Property of Square Roots is stated for a and b that are:Read the answer and worked solution →The Product Property of Square Roots is used to remove which factors from a radical?Read the answer and worked solution →The first step when simplifying a square root is to determine whether the radicand is a:Read the answer and worked solution →Each variable in a square-root expression is assumed to represent a:Read the answer and worked solution →Square roots that do not appear to have like radicals may reveal them after:Read the answer and worked solution →Adding or subtracting square roots requires the radicals to be:Read the answer and worked solution →The process developed for removing a radical from a denominator is called:Read the answer and worked solution →Which property is named alongside the Product Property for simplifying square roots?Read the answer and worked solution →A calculation of how long a stone takes to fall is given as needing which operation?Read the answer and worked solution →The square root of 72 simplifies because 72 contains which perfect square factor?Read the answer and worked solution →The radical sign alone never returns a negative value because it denotes the:Read the answer and worked solution →Two radicals that look unlike but simplify to the same radicand can then be:Read the answer and worked solution →Assuming every variable is non-negative allows which notation to be omitted next to radicals?Read the answer and worked solution →Checking whether the radicand is a perfect square first can save work because it may make the root:Read the answer and worked solution →Pull the rope to perfect square or notRead the answer and worked solution →Sort the parts of a radicalRead the answer and worked solution →Stack the radical rulesRead the answer and worked solution →Work the square rootsRead the answer and worked solution →Complete the radical rulesRead the answer and worked solution →

Worked practice questions

The radical sign is described as denoting which square root?

  1. The positive one
  2. The negative one
  3. Both roots at once
  4. Neither of the roots
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Correct answer: A. The positive one

1. A number has two square roots, but the symbol picks one. 2. Every positive number has a positive and a negative square root. 3. The radical sign denotes the positive square root. 4. The negative root is written with a minus sign in front. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 9 'Roots and Radicals', sections 9.1-9.8_

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The positive square root is also given which name?

  1. The rational root
  2. The principal root
  3. The secondary root
  4. The imaginary root
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Correct answer: B. The principal root

1. The positive root has a formal name. 2. The radical sign denotes the positive square root. 3. The positive square root is also called the principal square root. 4. That is the value a calculator returns. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 9 'Roots and Radicals', sections 9.1-9.8_

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The number written under the radical sign is called the:

  1. The radicand
  2. The radical
  3. The exponent
  4. Coefficient
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Correct answer: A. The radicand

1. Each part of a radical expression has a name. 2. The radical sign denotes the positive square root. 3. A square root is simplified when its radicand has no perfect square factors. 4. So the number under the sign is the radicand. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 9 'Roots and Radicals', sections 9.1-9.8_

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