Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 8 Algebra

Problem
1)
2) I'm thinking of a number. If you square my number and add 16, you get the same answer as adding 20 to my number and then multiplying by 5. There are two possibilities for my number. Find them both
3)
4) Payton scores 17 points in her first basketball game. Each game after that her average points per game increases by 2. If this pattern holds, how many points will she score in the 7th game?

5) What is the smallest integer value for x that makes this statement true?
    4x - 75 < 57 < 2x - 3