All Mixed Up: The proofs below are all mixed up. Rearrange either the statements or the reasons so the proofs make sense. - Explain & Show Work

Question

1. Statements

• a. 2x+5 = (1/2x)  + 8
• b. 2(2x+5_ = 2(1/2x + 8)
• c. 4x+10 = x + 16
• d. 3x + 10 = 16
• e. 3x = 6
• f. x = 2

 

Reasons

 

• a. Distribitive property
• b. Subtraction Property of Equality
• c. Division Property of Equality
• d. Given
• e. Mutiplication Property of Equality
• f. Subtraction Property of Equality

 

 

Answer 1

d,e,a,b,f,c.

 

You were given the original equation.

If two quantities are equal, you can multiply both side by 2...a second set of equal quantities.

The distributive property allow you to rewrite an expression without using parenthesis.

An pair of equal quantities (x from both sides) can be subtracted from a second set of equal quantities resulting in a third

         set of equal quantities.

Same as above

If 2 quantities are equal, and they are both divided by the same quantity, then the results are equal.

 

You have to memorize EXACTLY what each postulate, theorem and definition says in order to do proofs. LOTS of memorizing coming up!!!!!

 

Good luck...hope this helped