# Lesson 7

• Let’s explore operations with integers

### 7.1: Math Talk: Missing Values

Mentally solve each equation for $$a$$.

$$7\boldcdot a = 49$$

$$7 \boldcdot a= \text{-}49$$

$$\text{-}7\boldcdot a= 49$$

$$\text{-}7\boldcdot a = \text{-}49x$$

### 7.2: Finding Pairs that Work

For each question, find a pair of integers with the given product and sum.

1. product: 6, sum: 5
2. product: 6, sum: 7
3. product: 4, sum: -5
4. product: -1, sum: 0
5. product: -6, sum: 1
6. product: -12, sum: -1
7. product: -12, sum: 4

### 7.3: Factor Expansion

For each question:

• rewrite the expression in standard form
• be prepared to explain anything you notice in the comparison

Partner A:

1. $$(x-1)(x-2)$$
2. $$(x-1)(x+2)$$
3. $$(x+4)(x-4)$$
4. $$(x+3)(x-6)$$
5. $$(x-2)(x-3)$$
6. $$(x-2)(x+7)$$
7. $$(x+5)(x-2)$$
8. $$(4-x)(1-x)$$

Partner B:

1. $$(x+1)(x+2)$$
2. $$(x+1)(x-2)$$
3. $$(x-4)(x+4)$$
4. $$(x-3)(x+6)$$
5. $$(2-x)(x-3)$$
6. $$(x+7)(x-2)$$
7. $$(x-5)(x+2)$$
8. $$(x-4)(x-1)$$