Systems of Equations & Inequalities PARCC Practice

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Digital Download
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Description

Included are example problems, practice problems, and assessment problems addressing the following:

- designing systems to meet constraints (one solution, no solution)

- graphing inequalities in 2 variables word problems

- choosing appropriate shaded regions

*Of course, you can rearrange the problems in this document for use as class work, homework, quizzes, tests, etc. as you wish!

About my Products:

While the PARCC assesses many of the mathematical practice standards, I aim to create many problems and activities that require students to apply the skills outlined in the performance level descriptors. I believe that the more students are exposed to such types of work, the more likely they are to develop a conceptual understanding of the concepts & of their own learning, succeed on the PARCC, and hence the more likely they are to be prepared for success in college and/or their future careers. If you happen to have any questions or concerns regarding anything your purchase (or download for free), please do not hesitate to contact me! Have a wonderful school year! :)

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Standards

to see state-specific standards (only available in the US).
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Explain why the 𝘹-coordinates of the points where the graphs of the equations 𝘺 = 𝘧(𝘹) and 𝘺 = 𝑔(𝘹) intersect are the solutions of the equation 𝘧(𝘹) = 𝑔(𝘹); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where 𝘧(𝘹) and/or 𝑔(𝘹) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

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