Find The Number Of Solutions In A System By Graphing Quiz

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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 + 4`</li><li>`y = 2x - 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>

#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 = -2/3x - 3`</li><li>`x - 3y = -9`</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>`x - 3y = -3`</li><li>`y = 1/3x - 1`</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 - y = 8`</li><li>`4x - 2y = 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>

For 8th Grade students, solving the system of equations is an important skill and it will help them in higher-level mathematics to solve real-world problems. “Find the number of solutions in a system by graphing Quiz” consist of several questions where the students are asked to identify the number of solutions to the given system of equations. Using this quiz, teachers can easily identify the knowledge gaps of the students and help them to improve their problem-solving skills.

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Grade 8

Systems Of Equations

8.EE.C.8.B