Algebra I: Reasoning with
Equations and Inequalities
Mr. Tamayo
http://mathwithmrtamayo.weebly.com/
AZ Standards & ISTE Standard
 AZ Standard HS.A-REI.B.3. Solve linear equations and inequalities in
one variable, including equations with coefficients represented by
letters.
 HS.MP.2. Reason abstractly and quantitatively
 HS.MP.7. Look for and make use of structure.
 HS.MP.8. Look for and express regularity in repeated reasoning.
( http://www.azed.gov/azccrs/files/2014/04/azccrs_hs_math_finalstd_rev_04_2014.pdf
 ISTE Standards Students 5b: Exhibit a positive attitude toward using
technology that supports collaboration, learning, and productivity.
http://www.iste.org/docs/pdfs/20-14_ISTE_Standards-T_PDF.pdf
Today’s Lesson
• Solving inequalities in one variable with positive and negative
numbers.
• Focus: multiplicative and divisive inequalities
Introduction to Solving Inequalities
Ex:
1<2
Solving Inequalities in one variable
12x > 144
12x > 144
12 12
 x > 12
Rewrite the inequality
Isolate the variable
Final Answer
Negatives in the Inequalities
 -9x > 63
 -9x > 63
-9
-9
 x < -7
Solve the Inequality
Isolate the variable
Sign is flipped due to the
multiplicative inverse
 x < -7
Final Answer
Fractions in the Inequalities
 1x > 4
Solve the Inequality
2
 2 1x > 4 Multiply by its reciprocal
1 2
x>4 2
1
x>8
Final Answer
Still don’t get it? Check this video
out
https://www.youtube.com/watch?v=srJn2ZUYB4M
Jeopardy Time!
https://www.superteachertools.net/jeopardyx/jeopardy-review-gamefromcom.php?gamefile=http://www.superteachertools.com/jeopardy/userg
Homework Assignment
 MyMathLab
Section 2.1
Problems #1-20 odd
Due: 10/23/14
 Hard copies of home work available at request.
 Check out the classroom website for additional
announcements and
resources.http://mathwithmrtamayo.weebly.com/
Resources
 https://www.youtube.com/watch?v=srJn2ZUYB4M
 http://www.iste.org/docs/pdfs/20-14_ISTE_StandardsT_PDF.pdf
 http://www.azed.gov/azccrs/files/2014/04/azccrs_hs_math_fi
nalstd_rev_04_2014.pdf
 http://www.polleverywhere.com/
 http://www.polleverywhere.com/