Warm up Combining and Simplifying Algebraic Terms Essential

Warm up

Combining and Simplifying Algebraic Terms

Essential Question: How do you simplify algebraic expressions?

Georgia Standards of Excellence • MGSE 7. 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. • MGSE 7. NS. 1 d Apply properties of operations as strategies to add and subtract rational numbers.

Parts of an expression 7 x + 4 • Coefficient – a number in front of a variable. This number is multiplied by the variable. constant Variable Terms- separated by + or -

The invisible Guy

Understood 1 Exponents: 3 = 31 x = x 1 Coefficients: x = 1 x a = 1 a -b = -1 b

Board Practice Coefficient or Exponents C or E

2

9

4

1

0. 5

-1

Challenge Which number is the constant? Hint

Identifying Like terms Back to the notes

Video You will be taking notes during the video. Pay close attention!

x y x² a r b² • Variables are like species of animals. • Different species of animals can’t mate and produce (fertile) off spring. A dog and cat can’t mate and produce a dat.

All CONSTANTS are LIKE TERMS!!!

Copy into Notes Unlike Like Terms 3 a 2 -n 4 x 0. 14

The number in front doesn’t matter!!!!!!

The number in front doesn’t matter!!!!!!

Put each term in the correct “like term” box

number in front doesn’t matter!!!!

a

b

2 b

4 a 2

-x 4

a 5

0. 14 n

3 a

7 2

12 n

4 2

Application workbook pg 103

Complete handout, Glue it into notebook.

Combining Intro Video

Minus and Negatives are the SAME THING!!

Combining like terms is like grouping similar objects. x x 4 x + + x x 5 x x = = x x x x x 9 x To combine like terms that have variables, add or subtract the coefficients.

Minus and Negatives are the SAME THING!!

Steps • Add or subtract the coefficients. 1. Get rid of all subtractions (add a line, change the sign) 2. Place any needed understood 1’s. 3. Identify the like terms using shapes/colors. 4. Use communative property to get like terms together. 5. Use associative property to group like terms. 6. Add like terms. 7. Check to see if you have any more like terms.

Application: Workbook pg 103 Same variable + Same exponent

HW: Combining Like Terms Puzzle Video