Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 22, 2014
Check Your Homework - p.125
Bellringer
1. Get a calculator
2. Write down tonight's HW. 3. Take out last night's HW ­ Unit packet p. 125
4. Write a variable expression that represents each phrase. a) Eleven more than a number y.
b) Nine less than a number c.
c) The quotient of a number b and twenty.
d) The product of 5 and a number z minus 10.
Jul 26­12:38 PM
Jun 6­7:28 PM
Unit 2
Chapter 2 Section 2
Simplifying Expressions
Answers to #s 12­44 (even) on p. 59 and 60
12. s + 4
14. t + 11
16. 7h
18. 4/n
Objective: To simplify algebraic expressions using properties of operations
Like Terms: terms that have the same variable factors
(the same base and same exponents)
20. a number h subtracted from 6.5
h less than (fewer than) 6.5
Coefficient:
Examples:
a numerical factor of a term with a variable
2a and 5a
5x2 and 12x2
22. 1.3 times a number p
6ab2 and 7ab2
24. 3.5 times a number v
Unlike Terms: terms with different variable parts
26. ­24.4
28. 3
30. 15
32. n+5
8a and 8b
Examples:
6x2 and 7x
15a2b and 45ab2
34. 60n or 1200
Combining like terms: the process of adding or subtracting like terms
36. Sample answer: Candles cost $10 each. How much you pay for 10 candles? Distributive Property: allows you to multiply each term inside a set of
parentheses by a factor outside the parentheses
40. D
42. 11.9
44. 50
terms
3(n + 2)
= 3n + 6
factor
Oct 16­9:02 AM
Unit 2
Chapter 2 Section 2
Simplifying Expressions
Objective: To simplify algebraic expressions using properties of operations
Jun 6­8:17 PM
Combining Like Terms
Steps:
• Identify which parts of the expression are like terms
• Group them together
• Simplify the coefficient
Examples:
Like Terms: terms that have the __________ variable factors
(the same base and same exponents)
Coefficient:
a _______________ factor of a term with a __________
Distributive Property
Steps:
• Distribute factor on the outside of parentheses to terms inside the parentheses
• Combine like terms
Examples:
Examples:
2a and 5a
5x2 and 12x2
6ab2 and 7ab2
Unlike Terms: terms with __________ variable parts
Factoring Expressions
Steps:
• Use the distributive property to rewrite an addition expression as a product of two factors
• Use the greatest common factor (GCF) so the expression is factored completely
Examples:
Examples:
8a and 8b
2
6x and 7x
15a2b and 45ab2
Combining like terms
: the process of adding or subtracting
________
terms
Distributive Property: allows you to ______________ each term inside a
set of parentheses by a factor __________ the parentheses
terms
3(n + 2)
= 3n + 6
factor
Pd 7 Notes
Pd notes with examples
1
Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 22, 2014
Examples:
Combining Like Terms
• Identify which parts of the expression are like terms
• Group them together
• Simplify the coefficient
1) 5x + 9 + 2x ­ 4
2) 10r ­ 5 + 3 + r
3) 9c + 3d ­ 7c ­ 8d
4) 4n2 ­ n2 5) 6 + 7.2y ­ 4.2y + 1
6) 15ab + 2bc ­ 4ab ­ 10bc
Oct 17­1:25 PM
Distributive Property
• Distribute factor on the outside of parentheses to terms inside the parentheses
• Combine like terms
7) 5(2x ­ 4)
8) ­2(y ­ 8)
9) 6(2x + 3) ­ 4
1
10) (2 ­ 8v) + 5 11) 9 ­ 4(3z + 2)
2
12) (12y + 9) + 4
2
3
Jun 10­10:28 AM
Factoring Expressions
• Use the distributive property to rewrite an addition expressionas a product of two factors
• Use the greatest common factor (GCF) so the expression is factored completely
13) 4x + 14
14) 12y ­ 6
15) 9x + 15
16) 36 + 24t
17) 8c ­ 20
18) 12x ­ 28
Oct 14­9:04 AM
Oct 14­9:05 AM
Bellringer:
1. Write down tonight's HW. 2. Take out last night's HW ­ Unit packet p. 128
3. Application:
Bellringer:
1. Get a calculator
2. Write down tonight's HW. Find the perimeter of a rectangle with a length of 4x + 5 and a width of x ­ 3. (Hint: Draw a diagram)
3. Take out last night's HW ­ Unit packet p. 127
4. Simplify: a) 10q ­ 3 + 2q + 5
Oct 7­12:34 PM
b) ­3(5y ­ 2)
Bellringer ­ Pd 7
2
Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
Guided Problem Solving - p. 128
Jun 10­11:04 AM
October 22, 2014
Homework - p. 127
Oct 14­9:14 AM
EXIT TICKET
CAN'T WAIT TO EVALUATE!
1) When an algebraic expression contains like terms, how can you simplify the expression?
1. Place all your cards in a deck face down
2. Each player draws one card
3. Roll the die ­ take turns rolling the die
2) Simplify the following expressions.
a) k ­ 2 + 7 ­ 9k
b) 8 ­ 2(6n + 1)
4. Evaluate your expression using the number from your die
c) 4(3x ­ 6) + 40
5. The player with the highest value gets all the cards
6. Continue until there are no cards left. Player with the most cards wins the game
3) Factor each expression completely.
a) 36n ­ 72
4) Challenge: b) 18 ­ 24m
5(3a + 5b ­ 2c) + 2(3a ­ 2b)
127
6(2a + 1) + 3(2 ­ 3a)
Oct 20­9:46 AM
7. If time permits, play again ­ this time, use negative integers instead of positive, for example, if you roll 6, use ­6 to evaluate your expression
2x ­5 2x
x­1
Oct 16­12:36 PM
Check Your Understanding:
Pg 64, #'s 1­10
Jun 10­11:04 AM
3
Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 22, 2014
Homework - p. 127 - circle the numbers you did
not get correct.
Classwork (Partners)
Textbook Pages 64 & 65, #'s 12 - 54 even
Jun 10­11:05 AM
Jun 10­11:25 AM
Bellringer:
1. Do NOT take out your HW
I have, Who has
2. Open your notes and write the following:
"simplify" ­ there is no equal sign!
To simplify expressions: Or a) use distributive property first
b) combine like terms by adding or subtracting all the coefficients
Letter Dice Activity
Jun 19­8:46 AM
Oct 20­9:06 AM
Challenge
Simplify and combine like terms.
1) 7y ­ (4 + 9y)
2) 6(2a + 1) + 3(2 ­ 3a)
3) 3(6 + b) ­ 5(b + 1)
4) 5(3a + 5b ­ 2c) + 2(3a ­ 2b)
Jul 26­12:40 PM
Oct 20­9:51 AM
4
Unit 2 Chapter 2 Section 2 Simplifying Expressions.notebook
October 22, 2014
Oct 20­10:00 AM
5