Solving Systems of Equations By Elimination \u0026 Substitution With 2 Variables
Solving Systems of Equations By Elimination \u0026 Substitution With 2 Variables

Systems of Linear Equations and Inequalities Test








Formats Included


4 + answer key


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  1. This bundle includes over 25+ quizzes and tests that align with skills taught in algebra 1. They include a variety of question types, including short-response, multiple-choice, and select all that apply.Answer keys are included!Includes quizzes and tests on the following skills:The Real Number SystPrice $10.00Original Price $18.25Save $8.25


This 15-question algebra 1 test assesses students on skills related to systems of linear equations and inequalities. Students will complete the following:

  • Identify the graph of a systems of linear equations (#1)
  • Solve a linear system by graphing (#2-3)
  • Solve a linear system algebraically (#4-9)
  • Write and solve linear system word problems (#10-12)
  • Graph and identify solutions to a linear inequality (#13)
  • Graph and identify solutions to a system of linear inequalities (#14-15)

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Total Pages

4 + answer key

Answer Key


Teaching Duration

45 minutes

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to see state-specific standards (only available in the US).


Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.


Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.


Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.


Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.


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.

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