Algebra practice exercises for the 9th grade include simplifying expressions in one variable; solving for an unknown in linear equations; simplifying and solving quadratic equations; and simplifying algebraic fractions. There are also word exercises in which students assign variables to real-world quantities.
Examples of simplifying expressions in one variable vary from the simple, like -5x + 2 + 6x - 4, to more complex expressions involving many terms.
Solving linear equations involves questions like 2x - 4 = 4x + 2, where the value of x is to be calculated.
Students in the 9th grade should know how to expand and simplify quadratic factors like (x + 3)(x - 6). They should also be able to solve simple quadratic equations and simplify quadratic fractions. More theoretically, they need to know how to identify a given expression: monomial, binomial, trinomial or polynomial.
Examples of word exercises include the following: If the equation of a line is -4x + 6y = -12, find its y intercept. Find the x intercept for -3x + y = 3. What’s the gradient of the line with the equation y – 4 = 10?
Practice exercises are available on many websites, including Analyze Math and Help Teaching.