Algebra 2 unit 1 equations and inequalities answer key

Equations and Inequalities (Algebra 2 Curriculum Unit 1) | All Things Algebra®

DISTANCE LEARNING UPDATE: This unit now contains a Google document with:

(1) Links to instructional videos. Videos are created by fellow teachers for their students using the guided notes from the unit.  Please watch through first before sharing with your students. They might not always be perfect but we are trying our best to help out where we can in a very limited time.

(2) A link to a Google Slides version of the unit. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  We are unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

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This bundle includes notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:

• The Real Number System

• Properties Review (Commutative, Associative, Identify, Inverse, Distributive, Closure)

• Order of Operations (Includes absolute value and square roots)

• Evaluating Expressions (Includes absolute value and square roots)

• Solving Multi-Step Equations

• Literal Equations

• Word Problems

• Multi-Step Inequalities

• Compound Inequalities

• Absolute Value Inequalities

NEW: Assessments are now EDITABLE! Now you can easily make multiple versions or customize to fit your needs! PowerPoint and Equation Editor (usually built in to PowerPoint) are required to edit these files. There is a folder titled "Editable Assessments" when you download. This is where you will find editable versions of each quiz and the unit test.

This resource is included in the following bundle(s):

Algebra 2 Curriculum

More Algebra 2 Units:

Unit 2 – Linear Functions and Systems

Unit 3 – Parent Functions and Transformations

Unit 4 – Quadratic Equations and Complex Numbers

Unit 5 – Polynomial Functions

Unit 6 – Radical Functions

Unit 7 – Exponential and Logarithmic Functions

Unit 8 – Rational Functions

Unit 9 – Conic Sections

Unit 10 – Sequences and Series

Unit 11 – Probability and Statistics

Unit 12 – Trigonometry

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at .

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Expression, Equations, and Inequalities Unit for Algebra 2 or Algebra 2 Honors Common Core

Learning Scale is included with every lesson!

You can cut or add sections if needed. Everything is editable.

Topics included are:

Patterns and Expressions

Properties of Real Numbers

Algebraic Expressions

Solving Equations

Solving Inequalities

Absolute Value Equations

This unit includes PowerPoint presentations, coordinated guided notes with answers, two mid-unit quizzes, and a unit test covering Expressions, Equations and Inequalities. The PowerPoint includes learning scales, warm ups (do-now or bell ringer), key concepts, and examples for students to follow.

The lessons are 30 - 45 minutes each.

Unit Essential Questions:

How do variables help you model real-world situations?

How can you use properties of real numbers to simplify algebraic expressions?

How do you solve an equation or inequality?

An inequality is a statement how the relative size or order of two objects, or about whether they are the same or not.

$$a<b$$a is less than b.


$$a>b$$a is greater than b.


$$a=b$$a is equal to b.


If we add or subtract the same number to each side of an inequality then we don not change the truth of the inequality.


Example

Solve the inequality for a

$$a+b>c$$

We subtract b from both sides:

$$a+b-b>c-b$$

$$a>c-b$$

If we multiply or divide by a negative number than we must reverse the order of the inequality

If c is positive (and not zero) and a < b, then ac < bc and a/c < b/c

If c is negative (and not zero) and a < b, then ac > bc and a/c > b/c


Video lesson

Solve the inequality -4(x+3)>24