Question

LAST QUESTION! A long one..



Given: 7x + 2 = 2 + 5x – 6
Prove: x = –3

Answer 1

Given the equation 7x + 2 = 2 + 5x – 6, use the commutative property to rearrange the terms so that like terms are next to one another. This gives the equation 7x + 2 = 2 – 6 + 5x. Then, use the ____________________ to group the like terms. This gives the equation 7x + 2 = (2 – 6) + 5x. Next, combine like terms to get the equation 7x + 2 = –4 + 5x. Use the subtraction property of equality to subtract 5x from both sides of the equation. This gives the equation 2x + 2 = –4. Then use the subtraction property of equality again to subtract 2 from both sides of the equation. This gives the equation 2x = –6. Finally, use the division property of equality to divide both sides of the equation by 2 to give a final solution of x = –3. Therefore, given the equation 7x + 2 = 2 + 5x – 6, x is equal to –3.

Answer 2

Which justification was left out of the paragraph proof above?
Answer
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Addition Property of Equality

Answer 3

"group the terms" that's kinda a giveaway isnt it?

Answer 4

hmm..

Answer 5

Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends. For example 4 + 2 = 2 + 4

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 2 + (3 + 4)

Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5.

Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3
CREDIT: http://www.aaastudy.com/add74ax1.htm

Answer 6

so its associative property

Answer 7

Commutative property -> a + b = b + a

Associative property (a+b) + c = a + (b+c)

Distributive property -> a(b+ c) = ab + ac

Additive Property -> a - b = c -> a = c + b

Answer 8

lol i was about to say B xD. Ty. Igba and iHelp. I think i understand the rules a little better now.

Answer 9

well it is B :p

Answer 10

:) ty for your help.