Systems of Equations - Substitution
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
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 substitution mean in the context of systems of equations?
Back
Substitution is a method 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
3.
FLASHCARD QUESTION
Front
How do you solve the system: -3x - 3y = 3 and y = -5x - 17?
Back
Substituting y from the second equation into the first gives: -3x - 3(-5x - 17) = 3. Solving this yields x = -4, then substituting back gives y = 3.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the solution to the system: y = -2 and 4x - 3y = 18?
Back
Substituting y = -2 into 4x - 3(-2) = 18 gives 4x + 6 = 18. Solving this yields x = 3, so the solution is (3, -2).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
How do you solve the system: -2x + 6y = 6 and -7x + 8y = -5?
Back
Using substitution or elimination, we find x = 3 and y = 2, so the solution is (3, 2).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the solution to the system: 2x - 3y = -1 and y = x - 1?
Back
Substituting y = x - 1 into 2x - 3(x - 1) = -1 gives x = 4, and substituting back gives y = 3. The solution is (4, 3).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
How do you solve the system: -7x - 2y = -13 and x - 2y = 11?
Back
Using substitution or elimination, we find x = 3 and y = -4, so the solution is (3, -4).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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