Download Create a model for the following linear expression: =x =y =1 x + y

Unit 2 Expressions
and Equations
Combine like terms
Standards:
MCC7.EE.1 Apply properties of
operations as strategies to add, subtract,
factor, and expand linear expressions
with rational coefficients.
MCC7.EE.2 Understand that rewriting an
expression in different forms in a problem
context can shed light on the problem and
how the quantities in it are related.
Essential Questions
•How can we represent values using variables?
•What is the difference in an expression and an
equation?
•How do I simplify expressions?
X
Vocabulary
Variable: A symbol, usually a
letter, which is used to represent
one or more numbers.
a³
Like Terms: terms
Y
Coefficient: The
number part of a term
that includes a
variable. For example,
3 is the coefficient of
the term 3x.
Constant: A quantity having a fixed value
that does not change or vary, such as a
number. For example, 5 is the constant of
x + 5.
that have the same
variable raised to
the same power.
Only the
coefficients of like
terms can be
different.
Vocabulary
Numerical expression:
An expression consisting
of numbers and
Term: A number, a variable, or a product
and a number and variable.
6
n
7s
operations.
p
3+8
12 – 4
Inequality: A mathematical sentence formed by
placing inequality symbol between two expressions.
< > ≤ ≥
less than
Equation: A mathematical
sentence formed by setting
two expressions equal.
3 + 8 = 1 + 10
Algebraic expression: An
expression consisting of at
least one variable and also
consist of numbers and
operations.
N+8
3x - 5
Distributive Property: The
sum of two addends multiplied
by a number is the sum of the
product of each addend and the
number.
Create a model for the following
linear expression: =x
=y
=1
x + 2
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + 2
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + x + 2
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + x + 2
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + 2x + 5
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + 2x + 5
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + y
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + y
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
2x + y + 3x
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
2x + y + 3x
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + 2 + x + y + 1
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
x + 2 + x + y + 1
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
2x + 3 + x + 3y + 4
Which terms can you combine?
Create a model for the following
linear expression: =x
=y
=1
2x + 3 + x + 3y + 4
Which terms can you combine?
Use the following symbols (
) to
represent and simplify the following
expression:
Algebraically
2x + 3 + x - 1
Pictorially
Property
Use the following symbols (
) to
represent and simplify the following
expression:
Now you try:
Algebraically
Pictorially
Property
2 + 3x + x + 4
Use the following symbols (
) to
represent and simplify the following
expression:
Now you try:
Algebraically
Pictorially
Property
4 - 3x - x + 4
1.)Write an expression to find the perimeter
and area. Simplify your answer.
N+3
4
2.)Now evaluate your expressions if N=5.
Write an expression to find the
perimeter and area.
n+7
8
Find the perimeter and area.
n+5
9
12
n