Solving Systems by Substitution and Elimination
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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.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
What is the substitution method?
Back
The substitution method is a technique for solving systems of equations where one equation is solved for one variable, and that expression is substituted into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
The elimination method is a technique for solving systems of equations by adding or subtracting equations to eliminate one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
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 have the same slope but different y-intercepts.
Tags
CCSS.8.EE.C.8A
7.
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 have the same slope and y-intercept.
Tags
CCSS.8.EE.C.8B
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