Find The Number Of Solutions In A System By Graphing Practice Problems Online (7.EE.A.1) : 7th grade Math

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Find The Number Of Solutions In A System By Graphing

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#1 of 4: Mild

Find the number of solutions in a system by graphing

Graph the lines and determine the number of solutions:<ul><li>`y = -x - 2`</li><li>`y = 2x - 8`</li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph >Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li></ul></selectivedisplay>

#2 of 4: Medium

Find the number of solutions in a system by graphing

Graph the lines and determine the number of solutions:<ul><li>`y = -1/2x + 3`</li><li>`x + 2y = 6`</li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph >Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li></ul></selectivedisplay>

#3 of 4: Medium

Find the number of solutions in a system by graphing

Graph the lines and determine the number of solutions:<ul><li>`y = -x + 4`</li><li>`2x - y = 2`</li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph >Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li></ul></selectivedisplay>

#4 of 4: Spicy

Find the number of solutions in a system by graphing

Graph the lines and determine the number of solutions:<ul><li>`2x - 2y = -8`</li><li>`4x - 4y = -16`</li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph >Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li></ul></selectivedisplay>

In 8th Grade, students learn how to solve a system of equations algebraically and graphically. For the students “Find the number of solutions in a system by graphing practice problems” is an effective way to enhance their understanding of system of equations graphically.

This practice involves problems, where the students are asked to identify whether the given system of equations has no solution, Exactly one solution, or Infinitely many solutions. By solving these problems, students will be able to solve any system of equations graphically.

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Grade 8

Systems Of Equations

8.EE.C.8.B