SOLUTION: The problem says "Identify each statement as an equation or an expression. If it is an equation, slove it. If it is an expression, simplify it." A: 3x - 82 + 53 B: 3x - 82

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Question 82271This question is from textbook Gateways to Algebra and Geometry
: The problem says "Identify each statement as an equation or an expression. If it is an equation, slove it. If it is an expression, simplify it."

A: 3x - 82 + 53
B: 3x - 82 = 53
C: 12 - 5x = -18
D: 12 - 5x - 18
E: 12 = 5x - 18
F: 6 - (x-2)
This question is from textbook Gateways to Algebra and Geometry

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The problem says "Identify each statement as an equation or an expression. If it is an equation, slove it. If it is an expression, simplify it."
:
Remember an equation has to have an "=" sign, otherwise it's an expression
:
A: 3x - 82 + 53; an expression
3x - 29; simplified
:
B: 3x - 82 = 53; an equation
3x = 53 + 82; add 82 to both sides
3x = 135
x = 135/3; divide both sides by 3
x = 45
:
C: 12 - 5x = -18; an equation
-5x = -18 - 12
5x = 18 + 12; multiplied by -1 to get rid of the negative x
5x = 30
x = 30/5
x = 6
:
D: 12 - 5x - 18; an expression
-5x - 6
:
E: 12 = 5x - 18; an equation
12 + 18 = 5x; added 18 to both sides
30 = 5x
30/5 = x
6 = x
:
F: 6 - (x-2); an expression
6 - x + 2; removing the brackets with a neg in front changes the signs
-x + 8

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