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Using the Identity and
Inverse to Write
Equivalent Expressions
Do Now:
Sprint from Lesson 2
01/5/15
Module 3, Lesson 5
HW:
• Lesson 5 Problem Set
#1-3

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2
3
3
4
5
2x
3x
3x
4x
5x
6x
3x
4x
5x
8x
9x
10x
9x
5x
0
­x
­2x
­2x
2x
5x +3
5x +3
6x + 3
7x + 3
7x +3
10x + 3
11x
11x ­ 1
11x ­ 2
11x ­ 5
6x ­ 4
­x + 13
6x + 4y
7x + 2y
8x ­ 2y
­4x ­ 2y
­8x ­ 2y
6x ­ 2y
4x ­ 2y
7x
Round 1

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3
4
4
5
6
3x
4x
4x
5x
6x
6x
3x
5x
7x
9x
8x
10x
x
0
­x
­2x
­6x
4x
6x
3x + 5
10x ­ 1
11x ­ 1
12x ­ 1
14x ­ 1
15x ­ 1
­3x + 1
­3x
­3x ­ 1
­3x ­ 2
7x + 3
2x + 10
6x + 2y
6x
8x ­ 3y
4x ­ y
0
2x ­ 2y
­2y
5x
Round 2

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Discussion:
1. In problem 1, what is the pair of
numbers called?
2. What is the sum of a number and its
opposite?
3. In problem 5, what is so special
about 0?
Additive
Inverses
Zero
Zero is the ONLY NUMBER when
summed with another number,
the results in that number again.
Additive
Identity

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Discussion:
1. What are these pairs of
numbers called?
2. What is another term for reciprocal?
3. What is the product of multiplicative
inverses?
Reciprocal
Multipli-
cative
Inverse
1

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Discussion:
4. Why is the number 1 also special?
Any number multiplied by
1 would in that same number. Multiplicative
Identity

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Closing:
1.) What are the other terms for opposites and reciprocals, and
what are the general rules of their sums and products?
2.) What do the Additive Identity Property of Zero and the
Multiplicative Identity Property of One state?

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