Practice worksheet for high school algebra students focusing on solving systems of equations involving one linear and one quadratic function.

It looks like you've uploaded an image of a worksheet titled "Linear Quadratic Systems - Worksheet 1" containing ten problems, each with two equations (one linear and one quadratic) that need to be solved simultaneously.

Since I can't view or process images directly, I’ll need you to either:

1. Describe the problems (e.g., list the equations for each problem), or
2. Copy and paste the text from the worksheet here.

Once I have the actual equations, I can solve them step by step and explain the solutions clearly.

For example, if one problem is:
- $ y = x + 2 $
- $ y = x^2 - 4 $

I would substitute the first equation into the second and solve:
$$
x + 2 = x^2 - 4 \\
x^2 - x - 6 = 0 \\
(x - 3)(x + 2) = 0 \\
x = 3 \text{ or } x = -2
$$
Then find corresponding $ y $ values.

Please provide the equations, and I’ll solve all ten problems with full explanations!