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04/18/23 copyright 2006 www.brainybetty.com; All Rights Reserved. 4
Better to light a candle for one lost animalthan to curse the darkness of man's indifference.
Saving just one animal won't change the worldbut it surely will change the world for that one animal.
Better to light a candle for one lost animal
than to curse the darkness of man's indifference.Saving just one animal won't change the world
but it surely will change the world for that one animal. 5
Schedule for remaining classes
11/5 Quiz #4 and Test #3 corrections
11/12 Quiz #5
11/19 Quiz #6 (last quiz), Give Take-homeTest #4
11/26 Work in class on Take-home Test
12/3 Take-home Test #4 due
12/10 Review for Final Exam
12/17 Final Exam
04/18/23 copyright 2006 www.brainybetty.com; All Rights Reserved. 12
1. Warmup2. Test Corrections3. Go over HW # 9: Extra Practice Booklet “Topic 2
Combining similar terms”, Ch. 2 # 2-8, 2-9, 2-10, 2-20, 2-43, 2-45, 2-46
4. Practice adding & subtracting polynomials5. Graphing 6. The Distributive Property7. Quiz #4
Agenda 11/14/13
Test Corrections
14
When you finish your test corrections you can start working on the worksheets (pages 61 & 62)
More practice adding and subtracting polynomials
04/18/23 copyright 2006 www.brainybetty.com; All Rights
Reserved.
16
Vocabulary to knowA term is an algebraic expression that is a
single number, a single variable, or the product of numerals and variables.
Examples of terms:
125 (a single number)
x (a single variable)
125xy (the product of numerals and variables)
04/18/23 copyright 2006 www.brainybetty.com; All Rights Reserved. 17
Vocabulary to knowThe number of terms in an expression can help you
name the expression. Terms are connected with + or – signs.
Monomial – has one term, example: 125xy
Binomial – has two terms, ex: 125xy + 4
Trinomial – has three terms, ex: 125x - 4y + 3
Polynomial – has two or more terms,
Examples: 2x + 3 and 5x + 7y + 9z – 4
04/18/23 copyright 2006 www.brainybetty.com; All Rights Reserved. 18
Practice worksheets – pages 61 & 62
04/18/23 copyright 2006 www.brainybetty.com; All Rights Reserved. 19
Eucalyptus Grove
– A. (2,2), (3,2), (3,3), (-4,3), (9, -3), and – (-6,-5)– B. Check trees for proper placement.– C. (0,0)– D. (9,6), (12, 8)– E. It is blocked by trees at (3,-1) and (6,-2).– F. (-8, 1), (-8, 3), (-7, 2), (-9, 2)– G. (1, 2), (2, 1), (2, 3), (3, 1), (3, 4), (4, 2), (4, 3) – H. 103
Objective- To use the distributive property to
simplify variable expressions.
Distributive Property
a(b + c) = ab + acor
a(b - c) = ab - ac
Order of Operations Distributive Property
6(3 + 5) 6(3 + 5)6(8)
48
6(3) + 6(5)
18 + 30
48
Why distribute when order of operations is faster ?
Use the distributive property to simplify.
1) 3(x + 7)
2) 2(a - 4)
3) -7(8 - m)
4) 3(4 - a)
5) (3 - k)5
6) x(a + m)
7) -4(3 - r)
8) 2(x - 8)
9) -(2m - 3)
10) (6 - 2y)3
3x + 21
2a - 8
-56 + 7m
12 - 3a
15 - 5k
ax + mx
-12 + 4r
2x - 16
-2m + 3
18 - 6y
Use the distributive property to simplify.1) 4(y - 7)
2) 3(b + 4)
3) -5(9 - m)
4) 5a(4 - a)
5) (7 - k)6
6) a(c + d)
7) - (-3 - r)
8) 4x(x - 8)
9) -5m(2m + 3)
10) (6 - 2y)-3y
4y - 28
3b + 12
-45 + 5m
20a - 5a 2
42 - 6k
ac + ad
3 + r
4x - 32x2
-10m - 15m2
6 - 5y
Geometric Model for Distributive Property3 7
4
Two ways to find the total area.
Width by total length Sum of smaller rectangles
4(3 + 7) 4(3) + 4(7)
4(3) 4(7)
=
Geometric Model for Distributive Property4 x
9
Two ways to find the total area.
Width by total length Sum of smaller rectangles
9(4 + x) 9(4) + 9(x)=
Subtracting a Quantity
1) -(x + 6)
2) -(2x - 8)
3) 10- (4m + 3)
4) 2(x - 5) - (x - 3)
5) -(3a + 1)
6) -(-3x + 2x -7)
7) -12 - (3y - 8)
8) 4(3k - 5) - (2k + 9)
-x - 6
-2x + 8
10 - 4m - 3 - 4m + 7
2x - 10 - x + 3 x - 7
-3a - 1
+3x - 2x + 7
-12 - 3y + 8 - 3y - 4
12k - 20 - 2k - 9 10k - 29
2
2