1. Objective - To add and subtract polynomials.
Lesson 4.6 Simplifying Monomial Expressions
4:6 Adding and Subtracting Polynomials
Objective - To add and subtract polynomials.
Monomial -
A single term. A group of
numbers and/or variables tied
together by multiplication or
division but separated by
addition or subtraction.
single
Examples:
Coefficient - The number preceding a variable in a variable term.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

2. Lesson 4.6 Simplifying Monomial Expressions
Like Monomial Terms
Like Terms - Monomial terms that differ
only in their coefficients.
Terms:
Coefficients:
Like terms can be combined! + = =
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

3. Lesson 4.6 Simplifying Monomial Expressions
Like Terms
Unlike Terms
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

4. Lesson 4.6 Simplifying Monomial Expressions
Polynomial -
A variable expression
consisting of many terms
that can’t be combined.
many
Examples:
Binomials:
(two-term polynomials)
Trinomials:
(three-term polynomials)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

5. Lesson 4.6 Simplifying Monomial Expressions
Add the following polynomials. 1) 2) 3)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

6. Lesson 4.6 Simplifying Monomial Expressions
Add the following polynomials. 4) 5) 6)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

7. Lesson 4.6 Simplifying Monomial Expressions
Subtract the following polynomials. 1) 2) 3)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

8. Lesson 4.6 Simplifying Monomial Expressions
Subtract the following polynomials. 4) 5)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

9. Lesson 4.6 Simplifying Monomial ExpressionsB C
Find the length of in terms of x. 1) + = 2) =
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

10. Lesson 4.6 Simplifying Monomial ExpressionsB C
Find the length of in terms of x. 1) = 2) =
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

11. Lesson 4.6 Simplifying Monomial Expressions
Find the area of quadrilateral ABCD in
terms of x. A B + C D
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

12. Lesson 4.6 Simplifying Monomial Expressions
Find the area of if the area of
rectangle LMNO is L M P O N
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint