Standard #: MA.8.NSO.1.7


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Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.


Examples


The expression begin mathsize 12px style open parentheses negative 1 half close parentheses squared plus square root of open parentheses 2 cubed plus 8 close parentheses end root end style is equivalent to begin mathsize 12px style 1 fourth plus square root of 16 end style which is equivalent tobegin mathsize 12px style 1 fourth plus 4 end stylewhich is equivalent to begin mathsize 12px style 17 over 4 end style.

Clarifications


Clarification 1: Multi-step expressions are limited to 6 or fewer steps.

Clarification 2: Within this benchmark, the expectation is to simplify radicals by factoring square roots of perfect squares up to 225 and cube roots of perfect cubes from -125 to 125.



Related Courses

Course Number1111 Course Title222
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812030: Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))


Related Access Points

Access Point Number Access Point Title
MA.8.NSO.1.AP.7 Use tools to solve multi-step mathematical problems, with four or fewer steps, involving the order of operations with rational numbers including exponents and perfect squares and/or square roots.


Related Resources

Formative Assessment

Name Description
Dimensions Needed

Students are asked to solve problems involving square roots and cube roots.

Original Student Tutorial

Name Description
Square Root Part 3: Simplifying Radicals

Learn how to simplify radicals in this interactive tutorial.

Student Resources

Original Student Tutorial

Name Description
Square Root Part 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.



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