Lesson Topic: Literal Equations & Inequalities
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Transcript of Lesson Topic: Literal Equations & Inequalities
Ms. Valencia’s Algebra ClassGrade: 8th 10/19/2010
Lesson Topic: Literal Equations & Inequalities
Moving Forward To New & Better Equations
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Prior Knowledge: You should know that….
You should know how to…..Literal Equations
Solve numerical equationsSolve for the given variableSimplify equations
InequalitiesKnow the difference between <, >, ≤, ≥Graph equationsFind absolute value
What are Literal Equations?
Literal equations consist primarily of letters .
FORMULAS. Each variable in an equation “literally”
represents an important part expressed by the equation.
For example: Perimeter of a rectangle P=2L+2W
What are Inequalities?
An Inequality is an equation with three differences.It is solved just like an equation, except it
has NO exact answer. It will have many answers that satisfy that
inequality.We will now use the >, <, ≥, ≤ signs.
For example: 4+x>1-x; solve for x
In this lesson, you will learn that…..
Literal EquationsEquations without constants are solved the same
way as equations with numbers onlyInequalities
Are solved just like ordinary equationsThe <, >, ≥, ≤ signs have meanings & play a role
when graphing its solution setThe solution set determines direction on the number
lineEquations with absolute value will result in two
answers
In this lesson, you will learn how to….
Literal EquationsSolve literal equations with variables only as well
as literal equations with numbersInequalities
Solve single, compound, & absolute value inequalities
Distinguish the meanings between <, >, ≤, ≥ signsGraph inequality sets based on its direction
How to Solve Literal Equations?
EXAMPLE 1F= ab – ap; solve for a
F= a(b – p)
F = a(b – p)b – p b – p
F = a(b – p)b – p b – p
F = ab – p
EXAMPLE 2C= Kh + j; solve for K h
h*(C= Kh + j)*h h
Ch= Kh + j-j -j
Ch – j= Kh
Ch – j= Kh h h
Ch-j= K h
How to Solve Inequalities?Single Inequality6x – 3 < 7 + 4x
6x – 3 < 7 + 4x +3 +3
6x < 10 + 4x
6x< 10 + 4x-4x -4x
2x< 10
2x< 1022
x< 2
Meaning of < ??? Open circle
How to Solve Inequalities?Compound Inequality-3 ≤ x – 2 < 4
-3 ≤ x – 2 x – 2 < 4
-3 ≤ x – 2 x – 2 < 4+2 +2 +2 +2
-1 ≤ x x < 6
-1 ≤ x < 6
Meaning of ≤ and < ??Closed and open circle
How to Solve Inequalities?Absolute Value Inequality10 – 2k ≥ 6
10 – 2k ≥ 6 10 – 2k ≤ -6
10 – 2k ≥ 6 10 –2k ≤ -6 -10 -10 -10 -10
-2k ≥ -4 -2k ≤ -16
-2k ≥ -4 -2k ≤ -16-2 -2 -2 -2
k ≤ 2 k ≥ 8
k ≤ 2 or k ≥ 8
k
Worksheet Time Activity 1: This worksheet will provide extra
practice on Literal Equations. It is time for your first activity get prepared to further your learning….YEAH!!!! Let me know if you need help!!!
Click icon to see worksheet!!
panther.moundsparkacademy.org/.../eqtn-11.gif
Who Is My Partner? Activity 3: We are going to play a game that will
help you review <, >, ≤, ≥ signs. The mathematical sign in inequalities plays a crucial role when it comes to graphing. The game will go like so. I will divide the class into two
big groups. One group will have flash cards that will contain different integers (positive, negative, and absolute value integers). The other group will have flash cards that contain the different mathematical signs (<, >, ≤, ≥). Due to the fact that there are only four signs, the groups will take turns.
-31___-27 Who is
my Partner?
> ≤
≥<
Student will say Student
with correct sign will say “ I am.’
NO Sol.
Who Wants To Be A Millionaire
Activity 2: Students to further your knowledge on Inequalities we are going to play a FUN game of Who Wants To Be A Millionaire. The game will consist of various inequality problems. At this point, please break into your groups of four. Quietly, Thanks.
Are you prepared to WIN A $1,000,000? Let’s Start..Click on the number line
algebralab.org
Internet Resources Available Extra Help on Literal
Equations
Extra Help on Inequalities
VIDEO TUTORIALSClick Here
WEB PAGE Click Me
MINI INEQUALITY GAMEThis webpage also
contains useful videos. Take a LOOK.
Click Me
http://www.youtube.com/watch?v=SKHQFPIOqNk&p=C042AB30BD21BC80&index=1&feature=BF, http://www.regentsprep.org/regents/math/algebra/AE4/litless.htm , http://www.math-play.com/Inequality-Game.html , sacbee.com
More Practice ProblemsClick Here
End Of Lesson
This is the end of our lesson. Now you are experts when it comes to Solving Literal Equations & Inequalities! NOTE: Please let me know if you need extra
help…I am here.
Resources Algebra 1 Online. (2002-2010). Class work: Solving Inequalities
Worksheet. In Module- Solving Inequalities. Retrieved October 18, 2010, from http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module4-1.html
Schultzhie, L. (1998-2010). Literal Equations. In Algebra Lesson Page. Retrieved October 18, 2010, from http://www.regentsprep.org/regents/math/algebra/AE4/litless.htm
Ttor68. (2007). A16.15 Inequlity Example. In YouTube. Retrieved October 18, 2010, from http://www.youtube.com/watch?v=SKHQFPIOqNk&p=C042AB30BD21BC80&index=1&feature=BF
Popovici, D. (2007). Inequality Game. In Middle School Games. Retrieved October 18, 2010, from http://www.math-play.com/Inequality-Game.html
Valencia, J. How Wants To Be A Millionaire Brown, R., Dolciani, M., Sorgenfrey, R., Cole, W. (2004).
Inequalities CH 10. In Algebra: Structure and Method- Book 1
Resources Cont..Images
Sacbee.comAlgebralab.orgpanther.moundsparkacademy.org/.../eqtn-11.gifteacherspayteachers.com qwickstep.com, green-planet-solar-energy.com www.mathsteacher.com.au/.../Image1404.gif prep.math.lsa.umich.edu/pmc/images/8.1.e.5.gifevanborkowski.com