# MA.8.AR.2.3

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
Date Adopted or Revised: 08/20
Status: State Board Approved

## Related Courses

This benchmark is part of these courses.
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

Alternate version of this benchmark for students with significant cognitive disabilities.
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

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Formative Assessment

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

Type: Formative Assessment

## Original Student Tutorials

Square Root Part 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.

Type: Original Student 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.

Type: Original Student Tutorial

Square Root Part 1: Perfect Squares:

Learn what perfect squares are and find their square roots in this interactive tutorial.

Type: Original Student Tutorial

## MFAS Formative Assessments

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

## Original Student Tutorials Mathematics - Grades 6-8

Square Root Part 1: Perfect Squares:

Learn what perfect squares are and find their square roots 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 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorials

Square Root Part 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.

Type: Original Student 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.

Type: Original Student Tutorial

Square Root Part 1: Perfect Squares:

Learn what perfect squares are and find their square roots in this interactive tutorial.

Type: Original Student Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.