# Course 2 Lesson 1

```Lesson 1-6 Pages 30-33
Algebra:
Properties
Lesson Check 1-5
What you will learn!
multiplication properties to
solve problems.
Equivalent Expressions
Properties
Commutative Property
The order in which two
multiplied does not
Commutative Property
3+7=7+3
3x7=7x3
Associative Property
The way in which three
numbers are grouped
multiplied does not
Associative Property
(2 + 5) + 8 = 2 + (5 + 8)
(2 x 5) x 8 = 2 x (5 x 8)
Identity Property
The product of a factor
and one is the factor.
Identity Property
4+0=4
9x1=9
Distributive Property
To multiply a sum (or
difference) by a number,
the number outside the
parentheses.
Distributive Property
3(4 + 8) = (3 x 4) + (3 x 8)
What you really need to know!
The Big Question!
Did the numbers
move, or did the
group change?
Commutative Property of
2+3=3+2
Commutative Property of
Multiplication
2x3=3x2
Associative Property of
(5 + 8) + 2 = 5 + (8 + 2)
Associative Property of
Multiplication
(4 x 6) x 3 = 4 x (6 x 3)
Identity Property of Addition 5 + 0 = 5
0+9=9
Identity Property of
Multiplication
7x1=7
1 x 6 =6
Distributive Property
3(4 + 6) = 3•4 + 3•6
Word Bank: Lesson 1-6
Commutative
Associative
Identity
Distributive
Example 1
Commutative +
Name the property shown
by each statement.
24 + 5 = 5 + 24
Example 2
Associative x
Name the property shown
by each statement.
(11 x 4) x 8 = 11 x (4 x 8)
Example 3
8•5 + 8•7 ; 96
Use the distributive property to write
each expression as an equivalent
expression. Then evaluate the
expression.
8(5 + 7)
Example 4
2•6 + 9•6 ; 66
Use the distributive property to write
each expression as an equivalent
expression. Then evaluate the
expression.
(2 + 9)6
Example 5
6 x 150 ; \$900
Mr. Harmon has budgeted
\$150 per day for his hotel
and meals during his
vacation. If he plans to
spend six days on vacation,
how much will he spend?
Example 6
Identity x
Name the property shown
by each statement.
7=1x7
Example 7
Identity +
Name the property shown
by each statement.
7+0=7
Page 32
Guided Practice
#’s 4-10
Pages 30-31 with
someone at home
and study
examples!
Homework: Pages 32-33
#’s 12-26 even,
32-40 even, 43-57
Lesson Check 1-6
Page
565
Lesson 1-6
Lesson Check 1-6
```
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