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.



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.



Related Resources

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.

Student Resources

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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