System of Equations Word Problems
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+4
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 equations intersect.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
2.
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.HSA.REI.C.6
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
Define a linear equation.
Back
A linear equation is an equation that makes a straight line when graphed. It has the form ax + by = c, where a, b, and c are constants.
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the lines intersect at one or more points.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system has no solutions, meaning the lines are parallel and never intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the graphical method of solving a system of equations?
Back
The graphical method involves graphing each equation on the same set of axes and identifying the point(s) of intersection.
Tags
CCSS.8.EE.C.8B
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