1.4
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School
University of California, Berkeley *
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Course
N54
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
3
Uploaded by BailiffBookElephant2276
Question and Solution Template
Learning Attribute(s) Included in Question
: 1.4.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Calculator Active?
No
Question
:
A.
6
x
−
5
+
3
x
=
0
B.
9
x
−
5
=
0
By using which of the following action equation B can be found from
equation A?
A) Add or subtract the same quantity to or from both sides.
B) Add or subtract the same quantity to or from only one side.
C) Rewrite one side or both by combining like terms.
D) Rewrite one side or both using the distributive property.
Equation Upload
(Please write the text of the question along with the LaTeX Code)
:
A. $6x-5+3x=0$
B. $9x-5=0$
By using which of the following action equation B can be found from
equation A?
A) Add or subtract the same quantity to or from both sides.
B) Add or subtract the same quantity to or from only one side.
C) Rewrite one side or both by combining like terms.
D) Rewrite one side or both using the distributive property.
Correct answer: C
On a scale of 1-10, how difficult would you estimate your question to be (1=easy, 10=extremely difficult):
3 i
Solution
:
Step 1
: Here are the basic actions that can be done to a given equation to obtain an equivalent equation:
Add/subtract the same quantity from both sides
Multiply/divide both sides by the same non-zero constant
Rewrite one side (or both) in an equivalent way (for example, combining like terms or using the distributive property)
Equation Upload (Please write the text of the question along with the LaTeX Code):
\textbf{Step 1}: .
Here are the basic actions that can be done to a given equation to obtain an equivalent equation:
Add/subtract the same quantity from both sides
Multiply/divide both sides by the same non-zero constant
Rewrite one side (or both) in an equivalent way (for example, combining like terms or using the distributive property)
Step 2:
To get Equation B from Equation A, Add the like terms which is 6
x
and 3
x
to get an equivalent equation,
6
x
−
5
+
3
x
=
0
9
x
−
5
=
0
So, Rewrite one side or both by combining like terms is the correct
answer.
Equation Upload (Please write the text of the question along with the LaTeX Code):
\textbf{Step 2}: To get Equation B from Equation A, Add the like terms which is $6x$ and $3x$ to get an equivalent equation,
$$$6x-5+3x=0$$
$$9x-5=0$$
So, Rewrite one side or both by combining like terms is the correct answer.
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