# Standard 2: Solve multi-step one-variable equations and inequalities.

General Information
Number: MA.8.AR.2
Title: Solve multi-step one-variable equations and inequalities.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Strand: Algebraic Reasoning

## Related Benchmarks

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Access Points

MA.8.AR.2.AP.1a
Identify the steps to solve a given multi-step equation in one variable, with integers coefficients. Include equations with variables on both sides.
MA.8.AR.2.AP.1b
Solve multi-step equations in one variable, with integers coefficients. Include equations with variables on both sides.
MA.8.AR.2.AP.2
Select a two-step inequality from a list that represents a real-world situation and use substitution to solve.
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 topic.

## Formative Assessments

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

Type: Formative Assessment

Recycled Inequalities:

Students are asked to solve a real-world problem by writing and solving an inequality.

Type: Formative Assessment

Write, Solve and Graph an Inequality:

Students are asked to write, solve, and graph a two-step inequality.

Type: Formative Assessment

Students are asked to solve a two-step inequality.

Type: Formative Assessment

Linear Equations - 2:

Students are asked to solve a linear equation in one variable with rational coefficients.

Type: Formative Assessment

Linear Equations - 1:

Students are asked to solve a linear equation in one variable with rational coefficients.

Type: Formative Assessment

Equation Prototypes:

Students are asked to write examples of equations with one solution, no solutions, and infinitely many solutions.

Type: Formative Assessment

Counting Solutions:

Students are asked to identify and explain whether given equations have one solution, no solutions, or infinitely many solutions.

Type: Formative Assessment

Linear Equations - 3:

Students are asked to solve a linear equation in one variable with rational coefficients and variables on both sides of the equation.

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

Multi-Step Equations: Part 5 How Many Solutions?:

Learn how equations can have 1 solution, no solution or infinitely many solutions in this interactive tutorial.

This is part five of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• [CURRENT TUTORIAL] Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-Step Equations: Part 4 Putting it All Together:

Learn alternative methods of solving multi-step equations in this interactive tutorial.

This is part five of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• [CURRENT TUTORIAL] Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-step Equations: Part 3 Variables on Both Sides:

Learn how to solve multi-step equations that contain variables on both sides of the equation in this interactive tutorial.

This is part five of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• [CURRENT TUTORIAL] Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-Step Equations: Part 2 Distributive Property:

Explore how to solve multi-step equations using the distributive property in this interactive tutorial.

This is part two of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• [CURRENT TUTORIAL] Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-Step Equations: Part 1 Combining Like Terms:

Learn how to solve multi-step equations that contain like terms in this interactive tutorial.

This is part one of five in a series on solving multi-step equations.

• [CURRENT TUTORIAL] Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Justifiable Steps:

Learn how to explain the steps used to solve multi-step linear equations and provide reasons to support those steps with this interactive tutorial.

Type: Original Student Tutorial

## Tutorial

Solve a Consecutive Integer Problem Algebraically:

This video will show how to solve a consecutive integer problem.

Type: Tutorial

## Student Resources

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

## 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

Multi-Step Equations: Part 5 How Many Solutions?:

Learn how equations can have 1 solution, no solution or infinitely many solutions in this interactive tutorial.

This is part five of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• [CURRENT TUTORIAL] Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-Step Equations: Part 4 Putting it All Together:

Learn alternative methods of solving multi-step equations in this interactive tutorial.

This is part five of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• [CURRENT TUTORIAL] Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-step Equations: Part 3 Variables on Both Sides:

Learn how to solve multi-step equations that contain variables on both sides of the equation in this interactive tutorial.

This is part five of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• [CURRENT TUTORIAL] Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-Step Equations: Part 2 Distributive Property:

Explore how to solve multi-step equations using the distributive property in this interactive tutorial.

This is part two of five in a series on solving multi-step equations.

• Click HERE to open Part 1: Combining Like Terms
• [CURRENT TUTORIAL] Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Multi-Step Equations: Part 1 Combining Like Terms:

Learn how to solve multi-step equations that contain like terms in this interactive tutorial.

This is part one of five in a series on solving multi-step equations.

• [CURRENT TUTORIAL] Part 1: Combining Like Terms
• Click HERE to open Part 2: The Distributive Property
• Click HERE to open Part 3: Variables on Both Sides
• Click HERE to open Part 4: Putting It All Together
• Click HERE to open Part 5: How Many Solutions?

Type: Original Student Tutorial

Justifiable Steps:

Learn how to explain the steps used to solve multi-step linear equations and provide reasons to support those steps with this interactive tutorial.

Type: Original Student Tutorial

## Tutorial

Solve a Consecutive Integer Problem Algebraically:

This video will show how to solve a consecutive integer problem.

Type: Tutorial

## Parent Resources

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