09­15­16 Ch.1 Sec 5 Simp. Algabra Expressions
September 17, 2016
Come in and take your seat
1. Homework out and ready on your desk
2. Begin the warm­up
(If you finish the warm­up look over the rest of the slides)
Warm­up
Identify like terms in the list.
1. 3n2 5n 2n3 8n 2. a5 2a2 a3 3a 4a2 Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary.
3. 4a + 3b + 2a
5n, 8n
2a2, 4a2
6a + 3b
4. x2 + 2y + 8x2
9x2 + 2y
5. Write an expression for the perimeter of the given figure.
2x + 3y
x + y
x + y
2x + 3y
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09­15­16 Ch.1 Sec 5 Simp. Algabra Expressions
September 17, 2016
Homework questions
Homework
12. 12b + 10
14. 2x + 4y + 4
16. 18 + 2d3 + 4d
18. 9x
20. 4c2 + 7c
31. 3x + 23x2 + 6y2 +2x + y2 ­ 23x2
22. 6f2 + 2f
24. 17p + 17q + 21
26. 6a2 + 5b + 2c
28. no, distribution
30. 8h + 8(2h)
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09­15­16 Ch.1 Sec 5 Simp. Algabra Expressions
September 17, 2016
Movement activity
­Expectations
­Talking
­Answers
­Choosing
Lesson Quiz for Student Response Systems
1. Identify the like terms in the list. 6a, 5a2, 2a, 6a3, 7a
A. 6a and 2a
B. 6a, 5a2, and 6a3
C. 6a, 2a, and 7a D. 5a2 and 6a3
2. Identify the like terms in the list. 16y6, 2y5, 4y2, 10y, 16y2
A. 16y6 and 16y2
B. 4y2 and 16y2
C. 16y6 and 2y2 D. 2y5 and 10y
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09­15­16 Ch.1 Sec 5 Simp. Algabra Expressions
September 17, 2016
Lesson Quiz for Student Response Systems
3. Simplify 5x + 2y + 7x. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary. A. 5x + 2y + 7x = 5x + 7x + 2y
= (5x + 7x) + 2y = 12x + 2y Associative Property
Commutative Property
Add the coefficients.
B. 5x + 2y + 7x = 5x + 7x + 2y
= (5x + 7x) + 2y = 12x + 2y
Commutative Property
Associative Property
Add the coefficients.
4. Simplify 5x2 + 3x + 8x2. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary. A. 5x2 + 3x + 8x2 = 5x2 + 8x2 + 3x = (5x2 + 8x2) + 3x = 13x2 + 3x
Commutative Property
Associative Property
Add the coefficients.
B. 5x2 + 3x + 8x2 = 3x + 5x2 + 8x2 = (3x + 5x2) + 8x2 = 8x + 8x2
Associative Property
Commutative Property
Add the coefficients.
Check It Out: Example 1
Identify like terms in the list.
Look for like variables with like powers.
2x 4y3 8x 5z 5y3 8z
Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary.
A. 5y + 3y
B. 2(x2 – 13x) + 6
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09­15­16 Ch.1 Sec 5 Simp. Algabra Expressions
September 17, 2016
Check It Out: Example 2
Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary.
C. 4x2 + 4y + 3x2 – 4y + 2x2 + 5
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