Module 2

Unit 3

Lesson 2 and Part of 3- Combining Like Terms Notes and Properties

1. Take a look at the following expression:

A. Using a pen or pencil, divide the expression above into smaller units. We’ll call these smaller units “terms” of an expression or equation

B. Describe the meaning of a “term”

C. Check with your group to see if everyone divided the expression the same way. Be sure to explain how you determined your division marks.

2. For each expression below, simply by combining like terms

3. Fill in the blank so that the expressions on the left side of the table are equivalent to the expressions on the right side

of the table. The first one has been done for you.

A.

B.

C.

D.

A term is a smaller unit of an expression or equation. It is separated by either "+" addition sign or "-" subtraction sign.

We keep + or - sign with each term while dividing them into terms.Have same variable+ with same exponent

Properties Review

Commutative Property

4) 5)

6) 7)

**________________________________________________________________

Associative Property

8) 9)

10) 11)

**________________________________________________________________

Distributive Property

Simplify.

12) 13) 14)

15) 16) 17)

***18) Simplify

****19) 3(4x 2y 3 + 2x 2) + 4(2x 2 + 3x 2y 3)

 

Lesson 2 and Lesson 3 HW

Simplify

1. 8x + 2 + x - 11x 2. -10x 2 – 3x – 7 + 6x 2 3. -x +5 -3x – 7

4. 5x + 3y + 5x – 6y 5. -8x – 3y + 10 + 7x – 1 6. 8 – 4x + 6y + 8x – y

7. y – 3x – 10 – 4x + 9x 8. 3x – 7y –10 x + 11 – y

Match the property with the correct example.

Fill-in

12) Write an equivalent expression using the associative property.

13) Write an equivalent expression using the distributive property.

14) Write an equivalent expression using the commutative property.

Simplify by distributing and collecting like terms. Show your work. The 1st one is done for you.

15. 3(4x + 6) + 7x = 16. 6m + 3(2m + 5) + 7 17. 7(2 + 3x) + 8

12 x + 18 + 7x = 19x + 18

18. 5( m + 9) - 4 + 8m 19. 9 + 5(4x + 4) 20. 3m + 2(5 + m) + 5m

21. 12 + 3( x + 8) 22. 23. 3(7x + 2) + 8x

24. 25. - 4(2x2 - 5x2 y 3) + 5( x2 y 3 + 4x2) 26.

Simplify the expression first! Then evaluate the resulting expression for the given value of the variable. The 1st one is

done for you.

27. 3x + 5(2x + 6) = _____ if x = 4 28. 9(2m + 1) + 2(5m + 3) = _____ if m = 2

3x + 10x + 30 =

13x + 30 =

13(4) + 30 = 82

29. 4 + 6(2x + 7) = _____ if x = 3 30. 7(7 + 5m) + 4( m + 6) = _____ if m = 1

31. 8 + 5(9 + 4x) = _____ if x = 2 32. 2(4m + 5) + 8(3m + 1) = _____ if m = 3