Systems of Equations
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
It means that the lines represented by the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How do you solve a system of equations by 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
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations by elimination?
Back
1. Align the equations. 2. Multiply one or both equations to get opposite coefficients. 3. Add or subtract the equations to eliminate one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation consists of the lines of the equations plotted on a coordinate plane.
Tags
CCSS.8.EE.C.8A
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