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Classwork 4-3 Worksheet 1

Last updated about 2 years ago

6 questions

Suppose it is known that:
a=b
and
c=d

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Question 1

1.

Is the following statement never true, sometimes true, or always true? Explain.

a+c=b+c

Question 2

2.

Is the following statement never true, sometimes true, or always true? Explain.

a+c=b+d

Question 3

3.

Now you are given the information that
a=y
and
b=2x+3.

Use these equivalences to re-write the equation a=b.

Question 4

4.

Now you are given the additional information that
c=y
and
d=x-1.
(note, it is still the case that a=y and b=2x+3)

Use these equivalences to re-write the equation a+c=b+d.

Question 5

5.

Use these equivalences to re-write the equation a-2c=b-2d.

Question 6

6.

Emmy tells Terrance that she's discovered something incredible. She says that you can actually stack equations on top of each other add add them or subtract them, like this:

Is Emmy correct? Explain your thinking.