Suppose you are an algebra teacher grading the following solution on an examination: Solve: − 3 ( x − 6 ) = 2 − x Solution: − 3 x − 18 = 2 − x − 2 x − 18 = 2 − 2 x = − 16 x = 8. You should note that 8 checks1 and the solution is 8. The student who worked the problem therefore wants full credit. Can you find any errors in the solution? If full credit is 10 points, how many points should you give the student? Justify your position.
Suppose you are an algebra teacher grading the following solution on an examination: Solve: − 3 ( x − 6 ) = 2 − x Solution: − 3 x − 18 = 2 − x − 2 x − 18 = 2 − 2 x = − 16 x = 8. You should note that 8 checks1 and the solution is 8. The student who worked the problem therefore wants full credit. Can you find any errors in the solution? If full credit is 10 points, how many points should you give the student? Justify your position.
Solution Summary: The author explains that a linear equation is made up of two expressions set equal to each other. To solve an equation, we need to "undo" whatever has been done to the variable.
Suppose you are an algebra teacher grading the following solution on an examination:
Solve:
−
3
(
x
−
6
)
=
2
−
x
Solution:
−
3
x
−
18
=
2
−
x
−
2
x
−
18
=
2
−
2
x
=
−
16
x
=
8.
You should note that 8 checks1 and the solution is 8. The student who worked the problem therefore wants full credit. Can you find any errors in the solution? If full credit is 10 points, how many points should you give the student? Justify your position.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY