Scientific Understanding

**What are equations?**

Simply put, equations are anything that have an equal sign in them.

**Examples**:

3x = |
4 |

5 = |
8y |

2 |

41 = |
7 |

z |

What we need to focus on the most is a different way to view equations that will become useful in the next section solving for an unknown and will remain useful whenever we use math in chemistry or in any course in the future.

You want to look any equation and break it down into 4 different quadrants. Part of the reason I display math the way I do on this website is to help promote this thinking. If we look below, I have separated the equation into 4 different boxes. Remember if a quadrant is empty you can always fill in a ONE and not change the equation.

**VIDEO Equations**** Demonstrated Example 1**:

Say what expression is in each quadrant

6y = |
13 |

9 |
8 |

**Step 1:**

In the TOP LEFT quadrant is the 6y

6y = |
13 |

9 |
8 |

**Step ****2****:**

In the TOP RIGHT quadrant is the 13

6y = |
13 |

9 |
8 |

**Step ****3****:**

In the BOTTOM LEFT quadrant is the 9

6y = |
13 |

9 |
8 |

**Step ****4****:**

In the BOTTOM RIGHT quadrant is the 8

6y = |
13 |

9 |
8 |

**VIDEO Equations**** Demonstrated Example ****2**:

Say what expression is in each quadrant

7 = |
1 |

24 |
4 * P |

**Step 1:**

In the TOP LEFT quadrant is the 7

7 = |
1 |

24 |
4 * P |

**Step ****2****:**

In the TOP RIGHT quadrant is the 1

7 = |
1 |

24 |
4 * P |

**Step ****3****:**

In the BOTTOM LEFT quadrant is the 24

7 = |
1 |

24 |
4 * P |

**Step ****4****:**

In the BOTTOM RIGHT quadrant is the 4 * P (which is the same as 4P)

7 = |
1 |

24 |
4 * P |

**VIDEO Equations**** Demonstrated Example ****3**:

Say what expression is in each quadrant

30 = |
5 |

H |

**Step 1:**

In the TOP LEFT quadrant is the 30

30 = |
5 |

H |

**Step ****2****:**

In the TOP RIGHT quadrant is the 5

30 = |
5 |

H |

**Step ****3****:**

In the BOTTOM LEFT quadrant is the 1 (because it was empty I can put a 1 there)

30 = |
5 |

1 |
H |

**Step ****4****:**

In the BOTTOM RIGHT quadrant is the H

30 = |
5 |

H |

**PRACTICE PROBLEMS**: Give the numbers or letters in the quadrant that they ask about.

What is in the TOP LEFT quadrant?

52 = |
6s |

3 |
4 |

Answer: 52

What is in the BOTTOM LEFT quadrant?

1 = |
5 |

2y |
H |

Answer: 2y

What is in the TOP RIGHT quadrant?

42 = |
75 |

6f |
8 |

Answer: 75

What is in the BOTTOM RIGHT quadrant?

5 = |
61 |

13z |

Answer: 1

What is in the BOTTOM LEFT quadrant?

4 = |
9u |

35 |

Answer: 1