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



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Standards

CCSSHSA-CED.A.2

CCSSHSA-CED.A.3

CCSSHSA-REI.C.5

CCSSHSA-REI.C.6

CCSSHSA-REI.D.11

Formats Included

Pages

4 + answer key

$2.00

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Description

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

Included

Teaching Duration

45 minutes

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Standards

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

CCSSHSA-CED.A.2

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

CCSSHSA-CED.A.3

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.

CCSSHSA-REI.C.5

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.

CCSSHSA-REI.C.6

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

CCSSHSA-REI.D.11

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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