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

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