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9/23 algebraic proofs

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Last updated almost 2 years ago
8 questions
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Question 1
1.

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Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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Question 7
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Question 8
8.

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match the proof reason to the correct step.

3x = 12
given
x = 4
subtraction
3x + 4 = 16
division
Match the proof reason to the correct step.

x=7
given
21=3x
subtraction
7=x
addition
4x-3=7x-24
division
-3=3x-24
symmetric
match the proof reasons to the correct step.

8x = 24
given
x = 3
distributive
8x + 4 = 28
subtraction
+4(2x+1) = 28
division
match the proof reason to the correct step.
3x = 30
given
x = 10
addition
3x-2=28
division
match the proof reason to the correct step.
2x=5x-15
given
-3x = -15
subtraction
x = 5
subtraction
2x+3=5x-12
division
match the proof reason to the correct step.
20x+8=15x+48
given
5x=40
distributive
4(5x+2)=15x+48
subtraction
x=8
subtraction
20x=15x40
division
Match the proof reason to the correct step.
y=4
given
10y+5=12y-3
subtraction
4=y
addition
5=2y-3
division
8=2y
symmetric
match the proof reason to the correct step.
6x+10=12x-32
given
-6x+10=-32
distribution
x=7
subtraction
6x+10=4(3x-8)
subtraction
-6x=-42
division