Determining the number of solutions in a system practice problems: In accordance with Common Core math standards, grade 8 students must master determining the number of solutions in a system of equations. Math teachers can provide practice problems that require students to identify whether a system has a unique solution, no solutions, or infinite solutions. These problems requ...
Find The Number Of Solutions In A System By Graphing Problems
4 questions
#1 of 4: Mild
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 = 7x + 4`</p></li><li><p>`y = 7x - 4`</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>
#2 of 4: Mild
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>`y = 1/3x + 3`</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>
#3 of 4: Medium
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 = -1/6x - 1`</p></li><li><p>`x + 6y = -6`</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>
#4 of 4: Spicy
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 + 4y = 8`</p></li><li><p>`2x - 8y = -8`</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>
Show all
Grade 8
Systems Of Equations
8.EE.C.8.B
What teachers are saying about BytelearnWhat teachers are saying
Stephen Abate
19-year math teacher
Carmel, CA
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”
What teachers are saying about BytelearnWhat teachers are saying
Stephen Abate
19-year math teacher
Carmel, CA
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”