Simplifying Expression
Running
Head
: SIMPLIFYING ALGEBRAIC EXPRESSIONS
2
Simplifying
Expressions
Be sure to have a centered title on page 1 of your papers
.
[
The introductory paragraph must be written by each individual student a nd the content will vary depending on what the student decides to focus on in the general information of the topic.
YOUR INTRODUCTION SHOULD CONNECT MATH CONCEPTS AND REAL
-
WORLD
APPLICATIONS.
DO NOT INCLUDE THE DIRECTIONS IN THE INTRO!
The following paragr aph is not an introduction to the paper but rather the discussion called for in part 2 of the instructions. ]
The properties of algebra are important to know and understand how they work because in simplifying and solving methods one must be able to prope rly move terms around and put expressions and equations into the simplest form possible. The distributive property
,
sometimes called distribution , is used to apply multiplication across two or more terms inside of parentheses and results in the removal of the parentheses
.
The commutative property allows move ment of terms to different locations within expressio ns and the operation symbol in front of the term will move as well. T he associative property is used to group like terms together so they can all be combined. Like terms must have the same variable raised to the same power, or with the same exponent.
While simplifying the following expressions, the properties of real numbers will be used and identified.
The math work will be aligned on the left while the discussion of properties is on the right side of each line.
[
Notice that these expressions are not the same as in the assignment, although they are similar enough to demonstrate everything needed in the actual assignment.
]
A) 3a(a
–
7) + 6(a
–
7)
The
given expression
3a
2
–
21a + 6a
–
42
The
distributive property removes the parentheses
.
3a
2
–
15a
–
42
Like ter ms are combined by adding coefficients .
Head
: SIMPLIFYING ALGEBRAIC EXPRESSIONS
2
Simplifying
Expressions
Be sure to have a centered title on page 1 of your papers
.
[
The introductory paragraph must be written by each individual student a nd the content will vary depending on what the student decides to focus on in the general information of the topic.
YOUR INTRODUCTION SHOULD CONNECT MATH CONCEPTS AND REAL
-
WORLD
APPLICATIONS.
DO NOT INCLUDE THE DIRECTIONS IN THE INTRO!
The following paragr aph is not an introduction to the paper but rather the discussion called for in part 2 of the instructions. ]
The properties of algebra are important to know and understand how they work because in simplifying and solving methods one must be able to prope rly move terms around and put expressions and equations into the simplest form possible. The distributive property
,
sometimes called distribution , is used to apply multiplication across two or more terms inside of parentheses and results in the removal of the parentheses
.
The commutative property allows move ment of terms to different locations within expressio ns and the operation symbol in front of the term will move as well. T he associative property is used to group like terms together so they can all be combined. Like terms must have the same variable raised to the same power, or with the same exponent.
While simplifying the following expressions, the properties of real numbers will be used and identified.
The math work will be aligned on the left while the discussion of properties is on the right side of each line.
[
Notice that these expressions are not the same as in the assignment, although they are similar enough to demonstrate everything needed in the actual assignment.
]
A) 3a(a
–
7) + 6(a
–
7)
The
given expression
3a
2
–
21a + 6a
–
42
The
distributive property removes the parentheses
.
3a
2
–
15a
–
42
Like ter ms are combined by adding coefficients .