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# 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 is equivalent to which is equivalent towhich is equivalent to .

### 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.

### General Information

Subject Area: Mathematics (B.E.S.T.)
Strand: Number Sense and Operations
Status: State Board Approved

#### 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.

#### 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.

#### Original Student Tutorial

 Name Description Square Root Part 3: Simplifying Radicals: Learn how to simplify radicals in this interactive tutorial.

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