Solve by Substitution
Flashcard
•
Mathematics
•
8th Grade
•
Hard
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 equation 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 the equation y = -x - 10 and y = 4x using substitution?
Back
1. Solve y = 4x for x: x = -y/4. 2. Substitute into y = -x - 10: y = -(-y/4) - 10. 3. Solve for y: y = 4 - 10 = -6. 4. Substitute y back to find x.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What does it mean for two equations to be consistent?
Back
Two equations are consistent if they have at least one solution, meaning their graphs intersect at one or more points.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for two equations to be inconsistent?
Back
Two equations are inconsistent if they have no solutions, meaning their graphs are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
5.
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
6.
FLASHCARD QUESTION
Front
If y = x - 9 and y = -9, what are the values of x and y?
Back
x = 9, y = -9.
7.
FLASHCARD QUESTION
Front
How do you check if your solution to a system of equations is correct?
Back
Substitute the values of the variables back into the original equations to see if both equations are satisfied.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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