On the Art of Problem Solving site (see related link below), you will find past AJHSME (American Junior High School Mathematics Exam) tests with solutions including the 1994 exam. It should be noted that in 1999, the AJHSME became the AMC 8 (the lowest level of the American Mathematics Competitions), and now preparation for the exam might be better off with the previous AMC 8 exams.
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You'll know that you've found the equation's solutions when you end up with an expression in the form of x=N. Where x is what you're trying to find solutions to and N is either a number or an expression not dependent on x.
Purple Comet doesn’t publicly release official answers, but you can find past problems on their website. Some math forums discuss solutions, but if you're prepping, it’s better to work through the problems yourself. Beestar could also be a good way to build problem-solving skills with structured practice and national rankings.
The X-Intercepts are the solutions. If you have an algebra calculator, you can usually find them by going to CALC>Zero>enter the left and right boundaries for each side.
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
Since there are 2/10 problems that are missed, there are 8/10 problems that are correct. 8/10 is 0.8 which is equal to 80%.