Topics
3. Systems of Linear Equations & Inequalities
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United States of AmericaTennessee
Algebra 1

3.01 Solving systems of equations by graphing

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following graph that displays a system of two equations:

Loading Graph...

Write down the solution to the system of equations as an ordered pair $\left(x,y\right)$(x,y).

Easy
< 1min

Consider the following graph that displays a system of two equations:

Easy
1min

Consider the following graph that displays a system of two equations:

Easy
< 1min

Consider the following two equations:

$y=-4x+5$y=−4x+5

$y=-4x-4$y=−4x−4

Easy
1min
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Outcomes

A1.N.Q.A.1

Use units as a way to understand real-world problems.*

A1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.C.4

Write and solve a system of linear equations in real-world context.*

A1.A.REI.D.5

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

A1.A.REI.D.6

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 approximate solutions by graphing the functions or making a table of values, using technology when appropriate.*

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

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