Transcript Do Now - MrNappiMHS

Combining Like Terms
You can only combine terms that have EXACTLY
the same variable parts.
Ex:
1)
2x + 3x = 5x
2)
10n + 3n2 + 9n2
3)
10x – 4(x2 – 2x)
Which of the following is the simplified
form of
5x - 4 - 7x + 14 ?
1.
2.
3.
4.
-12x + 10
-2x + 10
2x - 18
12x – 18
Which of the following is the
simplified form of
a + 3a - 4(9 - a) ?
1.
2.
3.
4.
-36
3a - 36
8a - 36
8a + 36
Distributive Property
If you have a number outside of a set of ( ),
you can distribute it to all terms inside the
( ) using multiplication.
5(7n – 2)
5 • 7n – 5• 2
35n – 10
Commutative Property
To commute means to travel or move.
This property says you can move or
change the order of numbers in a problem
without changing the result.
Ex:
5+2=2+5
3●4=4●3
NOTE: Only works for addition and multiplication.
Associative Property
To associate means to group. In math, we group
numbers together using parentheses.
This property says the way we group numbers together
in a problem does not change the result.
Ex:
(3 + 5) + 2 = 3 + (5 + 2)
(2 ● 4) ● 6 = 2 ● (4 ● 6)
NOTE: Only works for addition and multiplication.
Which property would justify the
following statement?
8 • (2 • 6) = (8 • 2) • 6
1. Associative property of
multiplication
2. Distributive property
3. Commutative property of
multiplication
4. Commutative property of
addition
Which property would justify the following
equation?
3(2x + 5y) = 6x + 15y
1. Associative property of
multiplication
2. Distributive property
3. Commutative property
of multiplication
4. Commutative property
of multiplication
Which property would justify the
following statement?
8x + 4 = 4 + 8x
1. Associative property of
multiplication
2. Distributive property
3. Commutative property
of multiplication
4. Commutative property
of addition
Additive Identity
Identity means oneself.
The identity for addition always gives you the
same number back when added to a number.
ZERO is called the ADDITIVE IDENTITY.
Ex:
7+0=7
-8+0=-8
Additive Inverses
Additive Inverses are two numbers that
add up to the additive identity (zero).
Ex:
7 + (-7) = 0
So 7 and -7 are additive inverses.
Opposites are additive inverses
Multiplicative Identity
The identity for multiplication always
gives you the same number back when a
number is multiplied by it.
ONE is the MULTIPLICATIVE IDENTITY.
Ex:
5●1=5
-3 ● 1 = -3
Multiplicative Inverses
Multiplicative Inverses are two numbers
that multiply to the multiplicative identity (1).
Ex:
3●⅓=1
So 3 and ⅓ are multiplicative
inverses.
Reciprocals are multiplicative inverses
Multiplicative Property of Zero
The product of any number and zero is
zero.
Ex:
.653 ● 0 = 0
25765 ● 0 = 0
Why isn’t zero the identity for multiplication?
Name the Property
1. 0  12 = 0
Multiplicative Prop. Of Zero
2. 6 + (-6) = 0
Additive Inverse
3. 1  m = m
Multiplicative Identity
4. x + 0 = x
Additive Identity
5.
1
11
 1
11
Multiplicative Inverse
Homework
Packet pgs. 5 – 8