System of equations Substitution
Flashcard
•
Mathematics
•
8th Grade
•
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 set of values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does substitution mean in the context of solving equations?
Back
Substitution is a method of solving a system of equations by 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
How do you solve a system of equations using substitution?
Back
1. Solve one of the equations for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable. 4. Substitute back to find the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the first step in using substitution to solve the system: 2y + x = -15 and x = 3y?
Back
The first step is to substitute the expression for x from the second equation (x = 3y) into the first equation (2y + x = -15).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 2y + x = -15 and x = 3y?
Back
The solution is (-9, -3).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations -3x - 3y = 3 and y = -5x - 17?
Back
The solution is (-4, 3).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution, substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.
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