Transcript Expressions and Equations

More on the
Distributive
Property
(Feed the babies)
Essential Question:
What properties do I need to know
in order to simplify and evaluate algebraic
expressions.
Lesson Objective:
To simplify and evaluate algebraic
expressions.
M71Ab
(Feed the babies)
Distributive Property
“Feed the Babies”
You might recall that the Distributive Property
helps us to break numbers up into simpler
units so that we can solve multiplication
problems with greater ease.
4 ( 47 )
4 ( 40 + 7 )
4 ( 40 ) + 4 ( 7 )
160 + 28
178
15 ( 125 )
15 ( 100 + 20 + 5 )
15 ( 100 ) + 15 ( 20 ) + 15 ( 5 )
1500 + 300 + 75
1875
See if you can use the Distributive Property
to rewrite and solve the problems below.
8 ( 71 )
4 ( 13.5 )
12 ( 25 )
11 (27)
Distributive Property
“Feed the Babies”
You might recall that the Distributive
Property also helps us to simplify algebraic
expressions too.
An expression is simplified when…
 There are no ( ) or other grouping
symbols.
 When there are NO like terms left to
be combined.
Distributive Property
“Feed the Babies”
You might recall that the Distributive
Property also helps us to simplify algebraic
Expressions too.
4(a–7)
4 (a ) – 4 ( 7 )
4a + 28
5(x+4)
5(x)+5(4)
5x + 20
An expression is simplified when…
 There are no ( ) or other grouping symbols.
 When there are NO like terms left to be combined.
WE try …
Yes you write these on
the right side OF PAGE 12
Simplify each
expression (hungry little babies).
1. 2(a +8)
2. 5(6+v)
3. 6(y + 1)
4. 2(x – 3)
5. 3(r + s)
An expression is
simplified when…
 There are no ( ) or
other grouping
symbols.
 When there are NO
like terms left to be
combined.
USING THE DISTIBUTIVE
PROPERTY
Work INDIVIDUALLY to simplify each
of these expressions (hungry little babies).
1. 6(h +2)
2. 3(x+5)
3. 7(3ab + 7)
4. 5(b – 6)
5. 2(f + e + d + 3)
6. 8(k – 6 )
An expression is
simplified when…
 There are no ( ) or
other grouping
symbols.
 When there are NO
like terms left to be
combined.
HW REVIEW
25)2M + 10
33) 8A – 48
26)7X – 28
34) 3N + 12
27)9N + 18
35) 30M + 10
28)35Z – 10
36) 56P – 21
29)54 – 9C
37) 54-6W
30)4 + 1Y
38) 16-14C
31)18 – 24X
39) 27 + 45N
32)20 + 28W