Systems of Equations by Substitution and Elimination
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by substitution?
Back
Solving by substitution involves solving one equation for one variable and then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by elimination?
Back
Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has no solution?
Back
A system has no solution if the equations represent parallel lines, meaning they never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has infinitely many solutions?
Back
A system has infinitely many solutions if the equations represent the same line, meaning they overlap completely.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by substitution?
Back
The first step is to solve one of the equations for one variable in terms of the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
The first step is to align the equations and manipulate them (if necessary) to have the coefficients of one variable be opposites.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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