They explain the correlation between collecting similar terms and the distributive property. Students also explore properties of equality. They recognize when there will not be a soltuion to an equation or when equations will have multiple solutions. They will also solve for a given variable in terms of another variable. Students recognize polynomials and are able to name them in terms of their degree and number of terms.
Students learn to multiply polynomials, factor various types of trinomials, and square binomials.
Students also recognize radicals and irrational numbers. They apply this knowledge to solve vertical motion problems. They use these skills to solve systems of equations by finding the interaction of two graphs. Then, they solve systems of equations by substitution and then by linear combination. They apply this knowledge by solving work problems which involve two variables.