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# Standard #: MA.8.AR.2.3

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Given an equation in the form of x²=p and x³=q, where p is a whole number and q is an integer, determine the real solutions.

### Clarifications

Clarification 1: Instruction focuses on understanding that when solving x²=p, there is both a positive and negative solution.

Clarification 2: Within this benchmark, the expectation is to calculate 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: Algebraic Reasoning
Status: State Board Approved

#### Related Courses

 Course Number1111 Course Title222 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.AR.2.AP.3 Given an equation in the form of x²=p and x³=q, use tools to determine real solutions where p is a perfect square up to 144 and q is a perfect cube from -125 to 125.

#### Formative Assessment

 Name Description Roots and Radicals Students are asked to solve simple quadratic and cubic equations and represent solutions using square root and cube root symbols.

#### Original Student Tutorials

 Name Description Square Root Part 3: Simplifying Radicals Learn how to simplify radicals in this interactive tutorial. Square Root Part 2: Non-Perfect Squares Learn what non-perfect squares are and find the decimal approximation of their square roots in this interactive tutorial. Square Root Part 1: Perfect Squares Learn what perfect squares are and find their square roots in this interactive tutorial.

#### Original Student Tutorials

 Name Description Square Root Part 3: Simplifying Radicals: Learn how to simplify radicals in this interactive tutorial. Square Root Part 2: Non-Perfect Squares: Learn what non-perfect squares are and find the decimal approximation of their square roots in this interactive tutorial. Square Root Part 1: Perfect Squares: Learn what perfect squares are and find their square roots in this interactive tutorial.

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