Solving Systems by Substitution
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation to find the values of both variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you solve for y in the equation x = -3y - 17?
Back
To solve for y, rearrange the equation: y = (-x - 17)/3.
Tags
CCSS.HSA.CED.A.4
3.
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has one solution?
Back
It means that the two lines represented by the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y = x + 5 and 4x + y = 20?
Back
The solution is (3, 8).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
In the equation x = 7 - 2y, how can you express y in terms of x?
Back
Rearranging gives y = (7 - x)/2.
Tags
CCSS.6.EE.C.9
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