System of Equations and Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
1. Graph the corresponding linear equation as a dashed or solid line. 2. Shade the region that satisfies the inequality (above or below the line).
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the lines representing the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, and every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
How do you solve a system of equations using elimination?
Back
1. Align the equations. 2. Multiply one or both equations to get opposite coefficients for one variable. 3. Add or subtract the equations to eliminate that variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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