Basic Algebra

There is not much to say about basic algebra - just be comfortable with the use of variables to represent unknown numbers, and be careful about signs, squares, negative values, etc.

1985 AJHSME: Problem 8 Problem 23 (there was an error on this page. There should be 1,200 students, not 600)

1986 AJHSME: Problem 10 Problem 16

1987 AJHSME: Problem 8 (see more discussion on this type of problems here) Problem 15

1988 AJHSME:  Problem 23

1989 AJHSME:  Problem 7

1990 AJHSME:  Problem 24

1991 AJHSME:   Problem 20* Problem 21

*: while it is easy to use arithmetic and some logic to solve this type of problem, I recommend using algebraic representation intentionally, eg., the number "abc" = 100a + 10b + c, just to get used to algebra. Plus, it lays out a foundation for some advanced number theory problems (such as this one) in the future

1992 AJHSME:   Problem 8

2024 AMC 8: Problem 9 Problem 12