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 ques...

4 questions

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -x + 4`</p></li><li><p>`y = 2x - 2`</p></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 ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -2/3x - 3`</p></li><li><p>`x - 3y = -9`</p></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 ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`x - 3y = -3`</p></li><li><p>`y = 1/3x - 1`</p></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 ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

Find the number of solutions in a system by graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`2x - y = 8`</p></li><li><p>`4x - 2y = 16`</p></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 ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

Grade 8

Systems Of Equations

8.EE.C.8.B