# Lesson 7

Integers of Quadratics

- 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.

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

### 7.3: Factor Expansion

For each question:

- rewrite the expression in standard form
- compare your question and solution with your partner
- be prepared to explain anything you notice in the comparison

Partner A:

- \((x-1)(x-2)\)
- \((x-1)(x+2)\)
- \((x+4)(x-4)\)
- \((x+3)(x-6)\)
- \((x-2)(x-3)\)
- \((x-2)(x+7)\)
- \((x+5)(x-2)\)
- \((4-x)(1-x)\)

Partner B:

- \((x+1)(x+2)\)
- \((x+1)(x-2)\)
- \((x-4)(x+4)\)
- \((x-3)(x+6)\)
- \((2-x)(x-3)\)
- \((x+7)(x-2)\)
- \((x-5)(x+2)\)
- \((x-4)(x-1)\)