abers that multiply to the value on top and add to -42

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.4: Distributive Property
Problem 11PPS
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**Problem Description:**

Write two numbers that multiply to the value on top and add to the value on bottom.

**Puzzle Structure Explained:**

The puzzle is displayed in a cross diagram with the following details:

- The top of the cross has the number: **–42**
- The bottom of the cross has the number: **–11**
- There are two empty boxes at the left and right sides of the cross where the two numbers need to be filled in.

**Visual Representation:**

```
      -42
     /   \
    [ ? ]×[ ? ]
     \   /
     –11
```

In this visual structure:
- The values to be determined (represented as [?]) are the unknowns that must satisfy both conditions. 
- Multiply the two numbers to get –42.
- Add the two numbers to get –11.

**Interactive Element:**

- There's a "Submit Answer" button below the puzzle for users to input their answers once they have determined the correct numbers.

**How to Solve:**

1. Find two numbers whose product is –42.
2. Verify that these numbers also add up to –11.

This exercise helps with understanding factorization and solving simple algebraic puzzles.
Transcribed Image Text:**Problem Description:** Write two numbers that multiply to the value on top and add to the value on bottom. **Puzzle Structure Explained:** The puzzle is displayed in a cross diagram with the following details: - The top of the cross has the number: **–42** - The bottom of the cross has the number: **–11** - There are two empty boxes at the left and right sides of the cross where the two numbers need to be filled in. **Visual Representation:** ``` -42 / \ [ ? ]×[ ? ] \ / –11 ``` In this visual structure: - The values to be determined (represented as [?]) are the unknowns that must satisfy both conditions. - Multiply the two numbers to get –42. - Add the two numbers to get –11. **Interactive Element:** - There's a "Submit Answer" button below the puzzle for users to input their answers once they have determined the correct numbers. **How to Solve:** 1. Find two numbers whose product is –42. 2. Verify that these numbers also add up to –11. This exercise helps with understanding factorization and solving simple algebraic puzzles.
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