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Copy of Expressions, Equations, and Inequalities

CCM6/CCM6+ Unit 7
by

Angela King

on 6 December 2014

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Transcript of Copy of Expressions, Equations, and Inequalities

Expressions
Expressions, Equations, and Inequalities
is about...
understanding their similarities and differences
by
by
through
by
with
including
identifying expressions, equations,
and inequalities
translating expressions and equations
modeling equations
solving equations
solving and graphing inequalities
solving two-step equations
study extra hard!!
UNIT QUESTIONS:
You should be able to answer these by the time we complete this unit!!
1. When solving an equation or inequality, why is it important to perform identical operations on each side of the equal sign?
2. How can algebraic expressions and equations be written or translated?
3. How is solving an inequality similar to solving an equation, and how is different?
4. What is the difference between solving a one step equation and a two step equation?
Expressions, Equations, and Inequalities
COMPARE
unit words
CONTRAST
AND
previous unit
Properties &
Algebraic
Expressions
next unit
Ratios
&
Rates
Examples:
Numerical Expression
3(-4)
Algebraic Expression
( 3 + e ) - (-7)
Definition:
a name for a number
Numerical Expression:
includes at least ONE operation
Algebraic Expression
has a VARIABLE
Recognizing...
Equations
Examples:
3 + a = 6
4 + n = -5
2 + n = 7
Definition:
a math sentence that can include
NUMBERS
,
VARIABLES
(algebraic equation) and
AT LEAST ONE OPERATION
and
AN EQUAL SIGN
an equation means that two expressions are equal
Inequalities
Examples:
3 + 2 > 1 + 1
3 + x < 4
Definition:
a math sentence that includes
NUMBERS
,
VARIABLES
, and
AT LEAST ONE OPERATION
and states that
ONE EXPRESSION
is
GREATER THAN OR LESS THAN
the other expression
WHAT ON EARTH DOES THAT MEAN?
is
of
more than
less than
less
decreased by
MEANING...
subtract
multiply
subtract
subtract
add
equals
PRACTICING...
Inequalities
2x + 4 > 5
Don't forget to graph it!!
2x + 4 + (-4) > 5 + (-4)
(-2) + 2x > 1 + (-2)
x > -1
2(5) + 4 > 5
10 + 4 > 5
14 > 5
-1
0
1
2
Don't forget to check it!!
PRACTICING...
Equations
x + 2 = 8
x + 2 + (-2) = 8 + (-2)
x = 6
6 + 2 = 8
8 = 8
Don't forget to model it!!
Don't forget to check it!!
x
=
PRACTICING...
Expressions
4 + 2[3 x 5 + (8(3))]
4 + 2[3 x 5 + 24]
4 + 2[15 + 24]
4 + 2[39]
4 + 78
82
THE END!!
use this as a study tool!!
Watch as many times as you need,
AND
unit organizer
Full transcript