# LINEAR EQUATIONS WORKSHEET

Imagine you have \$40 and you're buying notebooks for \$10 each. How many notebooks can you buy?                        10x = 40                             x = 4

8(x – 1) – 32 = 7x + 30 8x – 8 – 32 = 7x + 30 8x – 7x = 30+ 40 x = 70

## Cracking the Code

Embark on solving linear equations with us! Understand why some equations lead to a unique solution, and how this concept is crucial in real life problems.

Let's say you have five candies and you want to share it with your friend equally.  How many candies will your friend get?                         2x = 5

3(x + 9) + 21 x = 24 x + 9 3x + 27 + 21 x = 24x + 9 24 x + 27 = 24x + 9 24x – 24x + 27 = 24x – 24x + 9 27 = 9

Witness the vanishing act of variables and explore why these equations have no solution, revealing the fascinating world of mathematical possibilities.

Think about when you are dancing, you're shadow matches you exactly. So who is the better dancer?                                                         Y = Y

25x – 35 = 5 (5x + 4) – 55 25x – 35 = 25x + 20 – 55 25x – 25x – 35 = 25x – 25x – 35 -35 = -35

### Endless Possibilities

Witness how these equations open doors to endless solutions, making math a playground of exploration.

Mathematics is a powerful tool that helps us solve problems, make decisions, and understand the world in a structured and logical way. Let's embark on a daring quest to the unknown, a thrilling journey into the magical world of numbers